A sample of 35 observations is selected from a normal population. The sample mean is 53, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.01 significance level. Họ: H = 54 H: µ # 54 a. Is this a one- or two-tailed test? O One-tailed test O Two-tailed test b. What is the decision rule? O Reject H, if -2.576 < z< 2.576 O Reject H, if z<-2.576 or z> 2.576 c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic

A sample​ mean, sample​ size, and sample standard deviation are provided below. Use the​ one-mean t-test to perform the required hypothesis test at the 10​% significance level.   x=25​, s=10​, n=24​, H0​: μ=24​, Ha​: μ>24   The test statistic is t= (round to two decimals as needed)

Use the following scenario to answer the next 6 questions. An engineer has designed a valve that will regulate water pressure on an automobile engine.  The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi.  If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications? The appropriate hypothesis test for this scenario is:   Group of answer choices right-tailed two-tailed left-tailed

A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative​ hypotheses? What is the test​ statistic, t? What is the​ P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

. nonzerorands expects 3 arguments The average American consumes 100 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 86 liters of alcohol consumed per year with a standard deviation of 16 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: μν H₁: 100 100 E -3.389 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) c. The test statistic t d. The p-value = e. The p-value is > ✓ a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the populaton mean is significantly different from 100 at a = 0.05, so there is statistically significant evidence to conclude that the population mean amount of…

please answer d, e, f

A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…