Get college assignment help at uniessay writers Let X represent the SAT score of an entering freshman at University X. The random variable X is known to have a N(1200, 90) distribution. Let Y represent the SAT score of an entering freshman at University Y. The random variable Y is known to have a N(1215, 110) distribution. A random sample of 100 freshmen is obtained from each university. Let = the sample mean of the 100 scores from University X, and = the sample mean of the 100 scores from University Y. Reference: Ref 5-18 What is the probability that will x be greater than y?
how could an astronaut in a space shuttle drop an object vertically to Earth?
a professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and a standard deviation of 10
excel compute descriptive statistics for the data set: 25, 45, 73, 16, 34, 98, 35, 45, 26, 2, 56, 97, 12, 445, 23, 63, 110, 12. 17, 41
59 percent of men consider themselves basketball fans. You randomly select 10 men and ask each if he considers himself a basketball fan. Find the probability that the number who consider themselves basketball fans is (a) exactly three, (b) at least three, and (c) less than three.
There are 2 more questions to answer– 8.32 and 8.33. Can you please help me with these? One method for assessing the bioavailability of a drug is to note its concentration in blood and/or urine samples at certain periods of time after giving the drug. Suppose we want to compare the concentrations of two types of aspirin (types A and B) in urine specimens taken from the same person, 1 hour after he or she has taken the drug. Hence, a specific dosage of either type A or B aspirin is given at one time and the 1-hour urine concentration is measured. One week later, after the first aspirin has presumably been cleared from the system, the same dosage of the other aspirin is given to the same person and the 1 hour urine concentration is noted. Because the order of giving the drugs may affect the results, a table of random numbers is used to decide which of the two types of aspirin to give first. This experiment is performed on 10 people-results are given in the table. Person Aspirin A- 1 hour concentration (mg%) Aspirin B-1 hour concentration (mg%) 1 15 13 2 26 20 3 13 10 4 28 21 5 17 17 6 20 22 7 7 5 8 36 30 9 12 7 10 18 11 Mean 19.20 15.60 Standard deviation 8.63 7.78 8.31 What are the appropriate hypotheses? Here, we want to compare the concentrations of two types of aspirin (Types A and B). The specimens are taken from the same person, so paired t test would be appropriate. Let x1 and x2 be the concentration of Type A and Type B aspirin in Urine specimen in mg%. Let d = x1 – x2 Null Hypothesis Ho d = 0 Alternate Hypothesis H1 d ≠ 0 Level of significance α 0.05 Decision rule- Reject Ho: If the absolute of calculated value is more than the critical value Value of the test statistic- Critical Value- Decision in terms of Ho — At 5% level of significance, we reject the null hypothesis as the calculated value is more than the critical value Decision in terms of the problem– At 5% level of significance, there is sufficient evidence to conclude that the mean concentration of Type A and Type B aspirin in urine specimen is significantly different. 8.32. What are the appropriate procedures to test these hypotheses? 8.33. Conduct the tests mentioned in problem 8.32. (not sure if this was previously answered on Oct 25th wunder testing the hypothesis????)
A typical college student spends an average of 2.55 hours a day using a computer. A sample of 13 students at The University of Findlay revealed the following number of hours per day using the computer: 3.15 3.25 2.00 2.50 2.65 2.75 2.35 2.85 2.95 2.45 1.95 2.35 3.75 Can we conclude that the mean number of hours per day using the computer by students at The University of Findlay is the same as the typical student’s usage? Use the hypothesis testing procedure and the 0.05 significance level. Five steps for testing Hypothesis: 1. State null and alternate hypothesis – Null Hypothesis (H0) and the Alternate Hypothesis (H1). 2. Select a level of significance – the probability of rejecting the null hypothesis when it is true. Type I error – rejecting the null hypothesis, H0,, when it is true. Type II error –accepting the null hypotheses when it is false. 3. Identify the test statistic – 4. Formulate a decision rule 5. Take a sample, arrive at decision
A sample of 65 business people was randomly selected and given a leadership test, which measures motivation and “internal strength.” The mean score on this test was 84.4, with a standard deviation of 6.5. a. What is the estimated standard error of the mean? 0.806 b. What are the degrees of freedom? c. Determine the value of t from Table B. d. Construct a 95 percent confidence interval for the mean score on this test, using the estimated standard error of the mean. e. Interpret your results.
In recent years, 42 percent of the American made automobiles sold in the United States were manufactured by General Motors, 33 percent by Ford, 22 percent by Daimler-Chrysler, and 3 percent by all others. A sample of the sales of American-made automobiles conducted last week revealed that 190 were manufactured by Daimler-Chrysler, 240 by Ford, 325 by GM, and 45 by all others. Test the hypothesis at the 0.05 level that there has been no change in the sales pattern. Five steps for testing Hypothesis: 1. State null and alternate hypothesis – Null Hypothesis (H0) and the Alternate Hypothesis (H1). 2. Select a level of significance – the probability of rejecting the null hypothesis when it is true. Type I error – rejecting the null hypothesis, H0,, when it is true. Type II error –accepting the null hypotheses when it is false. 3. Identify the test statistic – 4. Formulate a decision rule 5. Take a sample, arrive at decision
Let X= annual medical cost for a dog and Y= annual medical cost for a cat. Suppose that X and Y are both normally distributed with the means and standard deviations given above. Letting K = Y – X, find P(K>0). In other words, you are finding the probability that a randomly selected cat will cost more than a randomly selected dog in terms of their annual medical costs. (Hint: K also has a normal distribution with a certain mean and standard deviation.)
Get college assignment help at uniessay writers two players A and B take turns in tossing (repeatedly) a biased coin having P(heads)=p, p Є (0,1). the first to get heads wins the game. Suppose A starts first. What is the probability that A wins?
Suppose that X and Y have joint mass function P(X=i, Y=j)= θ^(i j 1) for i,j=0,1,2. Compute E(XY) and E(X) (both as a function of θ)
Three players A,B, and C take turns in tossing(repeatedly) a biased coin having P(heads)=p, p Є (0,1). The first to get heads win the game. Suppose A goes first, B second and C last. What is the probability that A wins? What is the probability that B wins.
suppose two of these employees are randomly selected from among the six(without replacement). determine teh sampling distribution of the sample mean salary
If a point randomly located in an interval (a,b) and if y denotes the location of the point, then y is assumed to have a uniform distribution over (a,b). A plant efficiency expert randomly selects a location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is a). within 25 feet of the end of the line? b.) within 25 feet of the beginning line? c.) closer to the beginning of the line than to the end of the line?
The American Veterinary Association claims that the annual cost of medical care for dogs averages $100 with a standard deviation of $30, and for cats averages $120, with a standard deviation of $35. Let X= annual medical cost for a dog and Y= annual medical cost for a cat. Suppose that X and Y are both normally distributed with the means and standard deviations given above. Letting K = Y – X, find P(K>0). In other words, you are finding the probability that a randomly selected cat will cost more than a randomly selected dog in terms of their annual medical costs. (Hint: K also has a normal distribution with a certain mean and standard deviation.)
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunction occur at about the same frequency. A. Develop a probability distribution for the duration of a service call. B. Draw a graph of the probability distribution. C. Show that your probability distribution satisfies the conditions required for a discrete probability function. D. What is the probability a service call will take 3 hours? E. A service call has just come in, but the type of malfunction is unknown. It is 3:00 PM and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?
A Cornell University researcher measured the mouth volumes of 31 men and 30 women. She found a mean of 66 cc for men (SD = 17 cc) and a mean of 54 cc for women (SD = 14.5 cc). The man with the largest mouth had a mouth volume of 111.2 cc. The woman with the largest mouth had a mouth volume of 95.8 cc. a) Which had the more extraordinarily large mouth? b) If the distribution of mouth volumes is nearly Normal, what percentage of men and of women should have even larger mouths than these (higher than the highest listed above)?
A company needs to downsize a department that has 30 people—12 women and 18 men. Ten people were laid off, and management says that the layoffs were done randomly. Of those laid off, 8 were women. A labor attorney is interested in the probability that 8 or more women would be laid off if the layoffs were actually done randomly. Compute the probability that 8 or more women would be laid off at random. Based on your answer, do you think that management really laid off these people randomly? Explain.
The Vintage Restaurant is located on Captiva Island, a resort community near Fort Myers, Florida. The restaurant, which is owened and operated by Karen Payne, just completed its third year of operation. During this time, Karen sought to establish a reputation for the restaurant as a high-quality dining establishment that specialized in fresh seafood. The efforts made by Karen and her staff proved successful, and her restaurant is currently one of the best and fastest grwoing restaurants on the island. Karen concluded that to plan better for the growth of the restaurant in the future, she needs to develop a system that will enable her to forecast food and beverage sales by month for up to one year in advance. Karen compiled the following data on total food and beverage sales for the three years of operation: Food and Beverage Sales for the Vinatage Restaurant($1000s) MONTH FIRST YEAR SECOND YEAR THIRD YEAR January 242 263 282 February 235 238 255 March 232 247 265 April 178 193 205 May 184 193 210 June 140 149 160 July 145 157 166 August 152 161 174 September 110 122 126 October 130 130 148 November 152 167 173 December 206 230 235 Peform an analysis of the sales data for the Vinatage Restaurant. 1. A graph of the time series 2. An analysis of the seasonality of the data. Indicate the seasonal indexes for each month, and comment on the high seasonal and low seasonal sales month. Do the seasonal indexes make intuitive sense? 3. Forcast sales for January through December of the fourth year. 4. Recommendations as to when the system that you developed should be updated to account for the new sales data that will occur. 5. Detailed calculations of your analysis in an appendix to your report.
Richard has been given a 9-question multiple-choice quiz in his history class. Each question has three answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of the answers. Assuming that Richard guesses on all 9 questions, find the probability that he will answer all questions incorrectly? Round your answer to the nearest thousandth.
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