2. u = 26, o = 4.5, n = 80, and x = 28.3 %3D %3D
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- (a) Find the P - value for the test statistic z=1.36 for the following null and alternative hypotheses:A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10If, in a sample of n=20 selected from a normal population, X=59and S=12, what are the critical values of t if the level of significance, α, is 0.05, the null hypothesis, H0, is μ=50, and the alternative hypothesis, H1, is μ≠50? The critical values of t are
- If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. What range of values is the p-value in?b. There is evidence to reject H0 with the level of significance adopted?A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus > 0?b. The test statistic value calculated based on the data is:c. The critical (absolute) value of the test for the desired significance level is: