A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected Sobe subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. The results for the test turn out to be: Ho: H = 35.0. H1:µ/35.0. Test statistic: t = 7.252. Critical values: t = -2.861, 2.861. Reject Ho. There is %3D sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0. If a defense attorney argues the results are not valid because the sample size was too small, is his argument valid here? D Yes, because the t-test is not as powerful as the z-test. O No, because we rejected the null hypothesis. Yes, because we rejected the null hypothesis. No, the sample size is never an issue.

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 35 night students, and the sample mean GPA is 2.68 with a standard deviation of 0.75. You sample 55 day students, and the sample mean GPA is 2.45 with a standard deviation of 0.49. Test the claim using a 5% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses? Ho: Select an answer = Select an answer H₁: Select an answer ? Select an answer Based on the hypotheses, find the following: Test Statistic = Critical Values = ± (Just enter the positive CV.) The correct decision is to Select an answer The correct summary would be: [Select an answer night students is different from the mean GPA of day students. that the mean GPA of

When you purchased your car, the dealer told you that your average gas mileage on your car was 30mpg, but you suspect that is might be lower than that. You conduct a sample over 30 days, and find that your sample average is only 28 mpg, with a standard deviation of 8.2 mpg. You conduct a hypothesis test, and find a P-value of 9.6%. What are your conclusions? Use an a level of 5% O Reject H, and accept H4. You have strong evidence that your car does get less than 28 mpg, on average. O Accept H.. You have strong evidence that your car gets 28 mpg, on average. O Reject H4. You have strong evidence that your car gets more than 28 mpg, on average. O Fail to reject Ho. You do not have strong evidence that your car gets less than 28 mpg, on average.

The average American consumes 86 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 11 randomly selected college students and found that they averaged 95.8 liters of alcohol consumed per year with a standard deviation of 20 liters. What can be concluded at the the a= 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho ? Select an answer H₁: ? Select an answer c. The test statistic ? C d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population mean is not significantly more than 86 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to…