40. We will take a random sample of 30 vehicles of a certain make and model and measurethe fuel efficiency in miles per gallon (mpg) of each of them. We will conduct a hypothesistest at the 10% level of significance to determine whether there is evidence that the truemean fuel efficiency of all cars of this make and model differs from 32 mpg. What is theprobability of failing to reject H, if the true mean is in fact 32 mpg?(A) 0.10(B) 0.95(C) 0.05(D) 0.90(E) 0.20

Answered: Image /qna-images/answer/f5a58008-2457-4af2-8114-48cdcbfcb078.jpg

Answered: We will take a random sample of 30…

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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Question #2 A diet guide claims that you will get 120 calories in a serving of vanilla yogurt. Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per serving: 160 200 220 230 120 180 140 130 170 190 80 120 100 170 Test the claim that the mean number of calories per serving of vanilla yogurt is 120. Use a significance level of 0.05. Show all the steps of your hypothesis test including The claim being tested: The null and alternative hypothesis: The test statistic
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
Suppose a sample of n = 160 observations has a mean of 13.6 and a variance of 6.8. If each value in the sample is multiplied by 4 and then 20 is added, what would be the variance of the new sample values?
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Approximately 10%10% of Americans are left-handed (we will treat this as a known population parameter). A study on the relationship between handedness and profession found that in a random sample of 105 lawyers, 16 of them were left-handed.1 Test the hypothesis that the proportion of left-handed lawyers differs from the proportion of left-handed Americans. Clearly state the null and alternative hypotheses.Let pp be the proportion of left-handed lawyers. Calculate the test statistic and p-value.Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.test statistic = Enter your answer; test statisticp-value = Enter your answer; p-value What do we conclude at the 5% significance level? At the 10% significance level? Significance Level Conclusion 5% Choose the answer from the menu; What do we conclude at the 5% significance level?…
Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.
Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 40 expectant mothers have mean weight increase of 15.8 pounds in the second trimester, with a standard deviation of 6.2 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p-value for the hypothesis test. The p-value should be rounded to 4 decimal places.
The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? V a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows Current Year Previous Year Осcupied Rooms 1,470 1,458 Total 1,750 1,800 Rooms (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p, population proportion of rooms occupied for current year and P2 = population proportion of rooms occupied for previous year.) Ho: P1-P22 0 H: P1- P2 0 Ho: P1- P2 0 Hai P1 P2 = 0 Ho: P1- P2 = 0 H P1- P2 0 Ho: P1- P2 # 0 Hi P1- P2 = 0 (b) What is the estimated proportion of hotel rooms occupied each year? current previous (c) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value Using a 0.05 level of significance, what is your…

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