Answer (1.32, 10.68), (1, 11) 17 male and 20 female undergraduate students are randomly selected fromthe faculty of mechanical engineering. The summary of Test 2 EQT271 resultsare as follows:Male: XM = 82, SM = 8Female: XF = 76, SF = 6Assumed that both populations are normally distributed and the populationvariances are equal.Construct a 95% confidence interval (CI) for the difference in the mean scorebetween all male and female students who took the test.Then, assumed that the population variances are not equal. Construct the95% CI.

Answered: Image /qna-images/answer/c364448b-6365-4d2b-9454-fa2df07efa56.jpg

Answered: 17 male and 20 female undergraduate…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Develop a 95% confidence Interval Estimate for the difference between the two population means.
An automotive company is considering two types of batteries for its automobile. Sample information on the life of the battery is collected for 20 batteries of type A and 20 batteries of type B. The summary statistics are XA = 40.21, xB = 39.53, SA = 1.23, and SB= 1.59. Assume the data on each battery are normally distributed and assume σA = σB.(a) Find a 95% confidence interval on μA – μB.(b) Draw some conclusion from (a) that provides some insight into whether A or B should be adopted.
A department store finds that in a random sample of 200 customers, 60% of the sampled customers had browsed its website prior to visiting the store. Based on this data, a 90% confidence interval for the population proportion of customers that browse the store’s website prior to visiting the store will be between _________________. 0.6588 and 0.6312 0.4528 and 0.5250 0.5960 and 6040 0.5978 and 0.6022 0.5430 and 0.6570
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n1=50 n1=30 xbar1=13.6 xbar=11.1 pop mean 2.1 pop mean=3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90 confidence interval for the difference between the two population means (to 2 decimals).( , ) Provide a 95 confidence interval for the difference between the two population means (to 2 decimals).( , )
In a study of parasite–host relationships, 242 larvaeof the moth Ephestia were exposed to parasitization by the Ichneumon fly. The following table shows the number of Ichneumon eggs found in each of the Ephestia larva. For these data, yQ = 2.368 and s = 1.950. Student’s tmethod yields the following 95% confidence interval form, the population mean number of eggs per larva: 2.12 < μ < 2.61 (a) Does it appear reasonable to assume that thepopulation distribution of Y is approximately normal?Explain.(b) In view of your answer to part (a), on what groundscan you defend the application of Student’s t methodto these data?
Two separate samples are being used to estimate the population mean difference between two treatment conditions. Which of the following would produce the widest confidence interval? a. n1 = n2 = 20 with a pooled variance of s2p = 100 b. n1 = n2 = 10 with a pooled variance of s2p = 10 c. n1 = n2 = 20 with a pooled variance of s2p = 10 d. n1 = n2 = 10 with a pooled variance of s2p = 100
In the macro relation between GDP and FDI, Dr Mudenda obtained the following valuesfrom a Stata output: FDI coefficient of 0.45; t-statistic of 3; and covariance (GDP, FDI)value of 0.41. In literature, this relationship between GDP and FDI has generally beenestablished to be statistically significant. Answer the following questions:i) Calculate the variance of the FDI variable and explain its implicationii) Use the confidence interval approach to test whether FDI’s influence on GDP isstatically significant or not in Dr Mudenda’s study. Use 5% level which gives 1.96critical values.iii) What is the expected value of the p-values for studies that have been conductedin literature?
A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchases 85 yogurt cups, and records whether each was a winner. After consuming all 85 cups, he is disappointed to see that only 12 (14.1%) of his yogurt cups contained coupon codes. He performs a 99% confidence interval for the proportion of yogurt cups containing coupon codes, obtaining (0.044, 0.238). What conclusion can the customer draw about the yogurt company’s claim? The company’s claim may be justified because 0.2 is in the confidence interval. The company’s claim is definitely justified because 0.2 is in the confidence interval. The company’s claim is not justified because the upper endpoint of the confidence interval is 0.238. The company’s claim is not justified because 12 out of 85 (0.141) is far less than 0.2.
Suppose an All Greens store in Sonoma, California, wants to estimate a range of advertising costs appropriate to its store. If it spends too little on advertising, it will not reach enough customers. However, it does not want to overspend on advertising for this type and size of store. At this store, x1 = 163, x2 = 2.4, x3 = 188, x5 = 6.6, and x6 = 10. Use these data to predict x4 (advertising costs) and find an 80% confidence interval for your prediction. (Use 2 decimal places.) prediction lower limit upper limit At the 80% confidence level, what range of advertising costs do you think is appropriate for this store? (Round to nearest integer.) lower limit $ upper limit $
A random sample of 62 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 37 of these helmets some damage was observed. Find a 90% two-sided confidence interval on the true proportion (p) of helmets of this type that would show damage from this test. 0.517 <= p <= 0.677 0.597 <= p <= 0.677 0.517 <= p <= 0.699 0.494 <= p <= 0.699 0.494 <= p <= 0.677
The Okeechobee County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor's degree. A random sample conducted by the Okeechobee County Economic Development Board found that 10.5% of all county residents held at least a bachelor's degree.Find three different confidence intervals - one with sample size 180, one with sample size 451, and one with sample size 621. Assume that 10.5% of the county residents in each sample have earned at least a bachelor's degree. Notice how the sample size affects the margin of error and the width of the interval.Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. When n=180n=180, the margin of error for a 95% confidence interval is given by .When n=180n=180, a 95% confidence interval is given by . When n=451n=451, the margin of error for a 95% confidence interval is given by .When n=451n=451, a…

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