The following information is available for two samples drawn from independent normally distributed populations. Population A: nA = 11 S = 157.8 Population B: ng = 11 s3 = 107.1 What is the value of F if you are testing the null hypothesis Họ:o -o = 0? ...... The value of F is (Round to four decimal places as needed.)

The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean μ.u=33 t=-1.505947 p=0.069186 x=32.60 Sx=1.89686 n=51How many degrees of freedom are there?   Question 20 options:   52   50   33   51

Questions 1 and 2   1. A sample of n = 4 scores has SS = 60. What is the variance for this sample?     2. True or False?    For a one-tailed test evaluating at treatment that is supposed to decrease scores, a researcher obtains t(8) = -1.90. For alpha = .05, the correct decision is to reject the null hypothesis.

Question 2: a. Calculate the probability of a Type Il error for the following hypotheses when u = 37: Ho: u=40 H1: µ<40 The significance level is 5%, the population standard deviation is 5, and the sample size is 25. b. Repeat part(a) with a = 15%. c. Describe the effect on ß of increasing a. %3D

CHALLENGE ACTIVITY 402562.2600368.qx3zqy7 8.2.3: Hypothesis testing for two population proportions (one-tailed z-test). Jump to level 1 A university department chair believes that the afternoon section of a large survey class has a consistently lower proportion of students that pass the class compared to the morning section. The chair checks a random sample of student records from each section. The results of the data collected are shown below. Morning section Afternoon section Successes Observations p-hat_1 346 Successes 400 Observations 0.865 p-hat_2 Confidence level 95% -0.5548 p-value 0.2912 3 2 6 2 P= Ex 1.234 Morning section samples: ₁ Ex: 9 Afternoon section samples: 1₂ Sample proportion for morning section samples: p1 Sample proportion for afternoon section samples: p₂ – O 500 LE E 2 № 7 || ||| Ex: 1.234 D D DO

The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?

Question 16 Match the p-values with the appropriate conclusion: I. 0.00001 II. 0.0297 III. 0.0721 IV. 0.4490(a) The evidence against the null hypothesis is significant, but only at the 10% level.   (b) The evidence against the null and in favor of the alternative is very strong.   (c) There is not enough evidence to reject the null hypothesis, even at the 10% level.   (d) The result is significant at a 5% level but not at a 1% level.

Question 15 A random sample of 450 shoppers at FSK Mall found that 125 favored longer shopping hours. Is this sufficient evidence to conclude that less than 30% of the shoppers at FSK Mall favor longer hours? Let alpha= 0.05. Show all 6 steps to hypothesis testing.

QUESTION 6 Which of the following P-values will lead us to reject the null hypothesis at the .05 level? O.10 O .025 O.075 O.15 O Any P-value greater than .05 QUESTION 7 Suppose that when data from an experiment was analyzed, the P-value for testing HO mu=50 versus H1 mu > 50 was calculated as 0.0244. Which of the following statements are true? O HO is rejected at .10 level. O HO is not rejected at .05 level. O HO is not rejected at .025 level. H0 is rejected at any level o O All of the above statements are true. wwww..