Suppose a test is to be performed of H₁: = 39 versus H₁:39 at the α = 0.05 significance level. A random sample of size n = 23 from the population of interest yields >= 41.1 and sx = 3.5. Assume that the conditions for carrying out the test are met. What are the appropriate test statistic and P-value? Find the t-table here and the z-table here. O t = 2.877, P-value = 0.0044 O t = 2.877, P-value = 0.0088 O t= 5.38, P-value = 0.00002 O z = 2.877, P-value = 0.002 O z = 2.877, P-value = 0.004

14% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 359 people from the inner city surveyed, 43 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:     Ho: ? μ p  Select an answer = ≠ > <   (please enter a decimal)    H1: ? p μ  Select an answer < > = ≠   (Please enter a decimal) The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer reject fail to reject accept  the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 14% at αα = 0.05, so…

To compare the dry braking distances from 30 to 0 miles per hour for two makes of​ automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10​, can the engineer support the claim that the mean braking distances are different for the two makes of​ automobiles? Assume the samples are random and​ independent, and the populations are normally distributed.   The critical​ value(s) is/are   Find the standardized test statistic z for μ1−μ2.

We take a sample of size 40 to test Hoitt=40 against Hil<40. We compute a test statistic of z = - 2.17. What is the P- value associated with this test statistic? .4850 .5150 .0150 .0300

Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ₁ = mean before workout. Select the correct Hypotheses: Ho:με 2 με Η: μι = με Η: μη μ₂ O O O Conclusion: before 69 69 65 62 63 61 after 73 75 72 70 68 59 O Fail to Reject Ho ● Reject Ho Test Statistic = p-value = Ho:μd = 0 H₁: Hd ‡0 O [three decimal accuracy] [three decimal accuracy] Ho:μα 20 Ha:Pa 0 O Interpret the conclusion in context: ● There is enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout. O There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15.     Give the test statistic and the p-value.   What is the conclusion?

A random sample of  n1 = 49  measurements from a population with population standard deviation  ?1 = 3  had a sample mean of  x1 = 9.  An independent random sample of  n2 = 64  measurements from a second population with population standard deviation  ?2 = 4  had a sample mean of  x2 = 11.  Test the claim that the population means are different. Use level of significance 0.01.

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40.     (a) Give the test statistic and the 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 = p-value =

In a test of H0: μ = 14 against HA: μ < 14, the sample data with sample size 25 from a normal distribution yielded a test statistic Tobs = -3.15. Bracket the p-value for the test.