No explanations needed, only the correct solutions, thank you:
1.
The table to the right shows the number of female students who played on a sports team in grades 9 through 12 for a random sample of 6 high schools in a state. At a = 0.05, can you reject the claim that the mean numbers of female Grade Grade Grade Grads students who played on a sports team are equal for all grades?' Perform a one way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each 12 other, and that the populations have the same variances. 62 126 115 102 112 84 17 72 (a) Identify the claim and state He and He. Choose the correct answer below. OB. HOP H2HAHA Ha: At least one mean is different from the others. (claim) Ha: At least one mean is different from the others. (claim) O C. Ho: Hy # #2 "Ng " H4 (claim) O D. He: At least one mean is different from the others. (claim) Ha: At least one mean is different from the others. () Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.y. is and the degrees of freedom for the denominator, df.p. is The critical value is Fo =] (Round to two decimal places as needed.) The rejection region is (Round to two decimal places as needed.) (c) Calculate the test statistic. (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Choose the correct decision below. O A. Since F is not in the rejection region, fail to reject Ho. Q B. Since F is in the rejection region, reject Ho- O C. Since F is not in the rejection region, reject Ho. Q D. Since F is in the rejection region, fail to reject Ho- Interpret the decision in the context of the original claim. There enough evidence at the 5% significance level to the claim that the mean numbers of female students who played on a sports team isA company claims that the mean monthly residential electricity consumption in a certain region is more than 890 kiloWatt-hours (KWh). You want to test this claim. You find that a random sample of 69 residential customers has a mean monthly consumption of 930 KWh. Assume the population standard deviation is 124 KWh. Al a = 0.01, can you support the claim? Complete parts (a) through (e). ja) Identify He and He. Choose the correct answer below. OA. Ho: PS 930 O B. Ho: p > 890 (claim) Ha: p > 930 (claim) Ha: us 890 O C. Ho: H > 930 (claim) O D. Ho: p = 930 Haps 930 Ha: p # 930 (claim) OE Ho: p5 090 OF. Hg: p = 890 (claim) Ha: p > 890 (claim) Ha: p # 890 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer box within your choice. Use technology Round to two decimal places as needed.) O A. The critical value is OB. The critical values are * Identify the rejection region(s). Select the correct choice below. O A. The rejection region is z * 2.33. Q B. The rejection regions are z 2.33. O C. The rejection region is z > 2.33. (c) Find the standardized test statistic. Use technology. The standardized test statistic is = =(] Round in two decimal places as needed. (d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject H because the standardized test statistic is in the rejection region. OB. Reject My because the standardized test statistic is not in the rejection region. O C. Reject Hy because the standardized test statistic is in the rejection region OD. Fail to reject Ho because the standardized test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. At the 1% significance level, there enough evidence to the claim that the mean monthly residential electricity consumption in a certain region KWh
