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I have 2 cats, Ray and Felix, who behave independently of one another. I know that at 4:00 pm there is a 0.9 chance that Ray will be in my garage and a 0.4 chance that Felix will be in my garage. (a) If I walk into my garage some day at 4:00 pm, what is the probability that at most one cat will be there? (b) Consider the event “Ray is in the garage” and the event “Felix is not in the garage.” Are these events mutually exclusive? (c) Consider the random variable Y which represents the number of cats I find in my garage at 4:00 pm. Determine the distribution of Y (Hint: Start by writing out the sample space.) (d) What is the mean number of cats in my garage at 4:00 pm?

please compare and contrast how the psychologist as a detective (a researcher) solves a problem to how a non-researcher solves a problem. Please be sure to discuss the following concepts in your detailed discussionintuition, hearsay, literature review, hypothesis, research plan, scientific method, problem identification, nonsystematic and systematic sources, ethics and ethical procedures

At a certain college, there were 300 science majors, 200 engineering majors, and 700 business majors. If one student was selected at random, the probability that the student is an engineering major is

• Prepare a 700- to 1,050-word paper in which you interpret the statistical significance of a study. • Select a study in a field of interest; this does not need to be directly related to health care. o What statistical procedures are mentioned in the study? o What conclusions did the study reach? Are the conclusions appropriate? Why or why not? o Are the findings statistically significant? Why or why not? Describe the process you used to make this determination and provide the level of significance. • Format your paper consistent with APA guidelines.

The average number of mosquitos in a stagnant pond is 100 per square meter with a standard deviation of 8. If 9 square meters are chosen at random for a mosquito count, find the probability that the average of those counts is more than 101.6 mosquitos per square meter. Assume that the variable is normally distributed.

For the following scores, find the (a) mean, (b) median, (c) sum of the squared deviations, (d) variance, and (e) standard deviation: 1,112;1,245;1,361; 1,372;1,472

A PC manufacturer claims that no more than 2% of their machines are defective. In a random sample of 100 machines, it is found that 4.5% are defective. The manufacturer claims this is a fluke of the sample. At a .02 level of significance, test the manufacture’s claim, and explain your answer. MegaStat Output Hypothesis test for proportion vs. hypothesized value Observed Hypothesized 0.045 0.02 p (as decimal) 5/100 2/100 p (as fraction) 4.5 2.0 X 100 100 n 0.014 std. error 1.79 z .0371 p-value (one-tailed, upper)

Assume that Acme Tires sells their high performance tires for $200 each and their all weather tires for $130 each. Further assume that the cost of producing a high performance tire is $165 and the cost of producing an all weather tire is $105. Finally, assume that if a tire does not last 40,000 miles, Acme tires will replace it free of charge to the consumer; Acme will incur the cost of replacement, but will not receive any additional revenue. (a) Calculate the profit earned/loss incurred on; a high performance tire that exceeds 40,000 miles, a high performance tire that does not exceed 40,000 miles, an all weather tire that exceeds 40,000 miles, and an all weather tire that fails to last 40,000 miles. PLEASE USE EXCEL SPREAD SHEET

The time between surface finish problems in galvanizing process is exponentially distributed with a mean of 40 hours. A single plant operates three galvanizing lines that are assumed to operate independently. a. What is the probability that none of the lines experiences a surface finish problem in 40 hours of operation. b. What is the probability that all three lines experience a surface finish problem between 20 and 40 hours of operation.

Get college assignment help at uniessay writers It is known that the true proportion of units in a very large population that have a particular characteristic is 0.45. A simple random sample of size n = 500 is to be selected from the population. What is the probability that the sample proportion, , will be within ± 3 percentage points of the true p, i.e., Pr{0.42 ≤ ≤ 0.48}?

QMSC 3311 – Fall 2010 Case Study 2 Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study, Metropolitan looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnaire sent to owners of one of the manufacturer’s full-sized cars reviewed several complaints about early transmission problems. Nationwide, the population mean mileage, μ, is 80,000 miles, with a population standard deviation, σ, of 18,000 miles. To learn more about the transmission failures, Metropolitan used a sample of actual transmission repairs provided by a transmission repair firm in the Detroit area. The data are shown in the CD file named “Auto” (Chapter 9 datasets). Use this data set to address the following questions. 1. Using the data provided above, what is the standard error of the mean? Calculate the probability that a simple random sample of 50 vehicles that will provide an estimate of the population mean mileage at transmission failure within /- 4,000 miles of the population mean, μ. Clearly state your conclusions based on this information. 2. Use sample data contained in the dataset to develop point estimates of the population mean and the population standard deviation for mileage at transmission failure. Do these sample statistics contain any sampling error? If so, how large are the errors? Is there any way the research firm can limit the amount of sampling error when selecting a sample of vehicles? 3. At 95% confidence, what is the margin of error? What is the 95% confidence interval estimate of the population mean? Clearly state your conclusions based on this information. What would happen to the confidence interval if you increased the sample size to 200? Why? What are the new margin of error and confidence interval? 4. Use hypothesis testing to determine whether the sample data support the conclusion that the mean mileage of vehicles produced by this manufacturer is lower than the national average mileage at transmission failure. Be sure to clearly state your hypotheses. Use the p-value approach to conduct the hypothesis test using α = .005. Include the test statistic, p-values, rejection rule, and conclusions in your answer. 5. Assuming 95% confidence, what is the recommended sample size if the desired margin of error is 1,000 miles? Would it be reasonable to obtain this sample size? Why/why not? Case studies must be typed using 12-point Times New Roman font with 1-inch margins all around. No cover sheet is necessary. Place your PeopleSoft ID in the header at the top of each page; do not include your name on the case study. Case studies should not exceed 5 pages

a brief description of the real-world situation or problem you selected to address, the independent and dependent variables you would study, the statistical null and alternative hypotheses, a description of what information the effect size would tell you that the probability value would not, and your hypothetical results in a few sentences using correct APA format.

1. A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20. What percentage of the time will the number of boxes received weekly be between 180 and 210 2. A company must decide their contribution to their pension plan based on the probability distribution of the length of life of their retired employees. Suppose the probability distribution of the lifetimes of their employees is approximately a normal distribution with m=74 years and s=8.6 years. What percentage of their retired employees would receive payments beyond age 76 3. The diameter of small Nerf balls manufactured at a factory in Chine is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls are selected. Find the interval that contains 95.44% of the sample means/ 4. The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontraditional students are defined as 25 years or older and working. Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is µ=3.5 and s=0.5. Suppose a random sample of 100 nontraditional students is selected and each student’s GPA is calculated. Calculated . 5. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long? 6. A paint sprayer coats a metal surface with a layer of paint between 0.43 and 1.23 millimeters thick. The thickness of the coat of paint is approximately uniformly distributed. What is the probability that paint from this sprayer on any given metal surface will be between 0.75 and 1.05 millimeters thick? 7. The lifetime of a disk drive head is normally distributed with a population mean of 1000 hours and a standard deviation of 120 hours. Determine the probability that the lifetime for 9 disk drives will exceed 940 hours. 8. A random sample of size 10 is taken from a population assumed to be normal and =1.2 and s=0.6. Calculate a 90 percent confidence interval for . 9 and 10. Using the spreadsheet Minn_Home.xls answer the following: A. Finish this sentence: If I know _____________ I can predict ________ B. What would be the independent and dependent variables? C. Graph Size and Price D. Create a linear relationship between size and price E. What is the intercept and slope? F. Is it a “good” model? G. Create a linear relationship between all the variables H. What is the intercept and slope? I. Is it a “better” model than the first on?

suppose that X and Y are independent random variables. Suppose that X has a discrete distribution concentrated on finitely many distinct values with p.f f1. Suppose that Y has a continuous distribution with pdf f2, let Z=X Y. Show that Z has a continuous distribution and find its pdf.

An analyst is conducting a hypothesis test to determine if the mean time spent on investment research by portfolio managers is different from 3 hours per day. The test uses a random sample of 100 portfolio managers, where the sample mean time spent on research is found to be 2.5 hours. The population standard deviation is 1.5 hours. What is the half-width (from the middle of the confidence interval to either of the confidence limits) of the 99% confidence interval for the population mean time spent on investment research by portfolio managers?

Could you please attempt/do what you can and I’ll pay for that? Thank you! 1. A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20. What percentage of the time will the number of boxes received weekly be between 180 and 210 2. A company must decide their contribution to their pension plan based on the probability distribution of the length of life of their retired employees. Suppose the probability distribution of the lifetimes of their employees is approximately a normal distribution with m=74 years and s=8.6 years. What percentage of their retired employees would receive payments beyond age 76 3. The diameter of small Nerf balls manufactured at a factory in Chine is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls are selected. Find the interval that contains 95.44% of the sample means/ 4. The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontraditional students are defined as 25 years or older and working. Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is µ=3.5 and s=0.5. Suppose a random sample of 100 nontraditional students is selected and each student’s GPA is calculated. Calculated . 5. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long? 6. A paint sprayer coats a metal surface with a layer of paint between 0.43 and 1.23 millimeters thick. The thickness of the coat of paint is approximately uniformly distributed. What is the probability that paint from this sprayer on any given metal surface will be between 0.75 and 1.05 millimeters thick? 7. The lifetime of a disk drive head is normally distributed with a population mean of 1000 hours and a standard deviation of 120 hours. Determine the probability that the lifetime for 9 disk drives will exceed 940 hours. 8. A random sample of size 10 is taken from a population assumed to be normal and =1.2 and s=0.6. Calculate a 90 percent confidence interval. 9. Using the spreadsheet(below) Minn_Home.xls answer the following: A. Finish this sentence: If I know _____________ I can predict ________ B. What would be the independent and dependent variables? C. Graph Size and Price D. Create a linear relationship between size and price E. What is the intercept and slope? F. Is it a “good” model? G. Create a linear relationship between all the variables H. What is the intercept and slope? I. Is it a “better” model than the first one? Minnesota Home Data Price Size Number of Niceness Pool? Home ($1000s) (Square Feet) Bathrooms Rating yes=1; no=0 1 260.9 2666 2.5 7 0 2 337.3 3418 3.5 6 1 3 268.4 2945 2.0 5 1 4 242.2 2942 2.5 3 1 5 255.2 2798 3.0 3 1 6 205.7 2210 2.5 2 0 7 249.5 2209 2.0 7 0 8 193.6 2465 2.5 1 0 9 242.7 2955 2.0 4 1 10 244.5 2722 2.5 5 0 11 184.2 2590 2.5 1 0 12 325.7 3138 3.5 7 1 13 266.1 2713 2.0 7 0 14 166.0 2284 2.5 2 0 15 330.7 3140 3.5 6 1 16 289.1 3205 2.5 3 1 17 268.8 2721 2.5 6 1 18 276.7 3245 2.5 2 1 19 222.4 2464 3.0 3 1 20 241.5 2993 2.5 1 0 21 307.9 2647 3.5 6 1 22 223.5 2670 2.5 4 0 23 231.1 2895 2.5 3 0 24 216.5 2643 2.5 3 0 25 205.5 2915 2.0 1 0 26 258.3 2800 3.5 2 1 27 227.6 2557 2.5 3 1 28 255.4 2805 2.0 3 1 29 235.7 2878 2.5 4 0 30 285.1 2795 3.0 7 1 31 284.8 2748 2.5 7 1 32 193.7 2256 2.5 2 0 33 247.5 2659 2.5 2 1 34 274.8 3241 3.5 4 1 35 264.4 3166 3.0 3 1 36 204.1 2466 2.0 4 0 37 273.9 2945 2.5 5 1 38 238.5 2727 3.0 1 1 39 274.4 3141 4.0 4 1 40 259.6 2552 2.0 7 1 41 285.6 2761 3.0 6 1 42 216.1 2880 2.5 2 0 43 261.3 3426 3.0 1 1 44 236.4 2895 2.5 2 1 45 267.5 2726 3.0 7 0 46 220.2 2930 2.5 2 0 47 300.1 3013 2.5 6 1 48 260.0 2675 2.0 6 0 49 277.5 2874 3.5 6 1 50 274.9 2765 2.5 4 1 51 259.8 3020 3.5 2 1 52 235.0 2887 2.5 1 1 53 191.4 2032 2.0 3 0 54 228.5 2698 2.5 4 0 55 266.6 2847 3.0 2 1 56 233.0 2639 3.0 3 0 57 343.4 3431 4.0 5 1 58 334.0 3485 3.5 5 1 59 289.7 2991 2.5 6 1 60 228.4 2482 2.5 2 0 61 233.4 2712 2.5 1 1 62 275.7 3103 2.5 2 1 63 290.8 3124 2.5 3 1 64 230.8 2906 2.5 2 0 65 310.1 3398 4.0 4 1 66 247.9 3028 3.0 4 0 67 249.9 2761 2.0 5 0 68 220.5 2842 3.0 3 0 69 226.2 2666 2.5 6 0 70 313.7 2744 2.5 7 1 71 210.1 2508 2.5 4 0 72 244.9 2480 2.5 5 0 73 235.8 2986 2.5 4 0 74 263.2 2753 2.5 7 0 75 280.2 2522 2.5 6 1 76 290.8 2808 2.5 7 1 77 235.4 2616 2.5 3 0 78 190.3 2603 2.5 2 0 79 234.4 2804 2.5 4 0 80 238.7 2851 2.5 5 0

Please assign last person was not able to work: The manufacturer of an MP3 player wanted to know whether a 10 percent reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the sampled outlets. At the .01 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Regular price 138 121 88 115 141 125 96 Reduced price 128 134 152 135 114 106 112 120 ” – Sent to Writing Help Expert Tutor on 10/19/2010 at 11:41am

The City of Maumee comprises four districts. Chief of Police Andy North wants to determine whether there is a difference in the mean number of crimes committed among the four districts. He recorded the number of crimes reported in each district for a sample of six days. At the .05 significance level, can the chief of police conclude there is a difference in the mean number of crimes? Number of Crimes Rec Center Key Street Monclova Whitehouse 13 21 12 16 15 13 14 17 14 18 15 18 15 19 13 15 14 18 12 20 15 19 15 18 ” – Sent to Statistics And Probability Expert Tutor on 10/19/2010 at 11:30am

if x1 and x2 are the values of a random sample of size 2 from a population having a uniform density with (alpha=0 , beta=theta) find K so that 0<theta<k(x1 x2) is a (1-alpha)100% confidence interval for theta when: a) alpha<or=.5 (.5

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November 3, 2019