Section 6.2 Learning Check||Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|In their advertisements a university would like to claim that the mean average class size is less than 16 students. The null and alternative hypotheses for this study are # <br><img src="hypothesesa.jpg"> %% <br><img src="hypothesesb.jpg"> %% <br><img src="hypothesesc.jpg"> %% <br><img src="hypothesesd.jpg"> %%|The P-value of a test of a null hypohesis is # the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed. %% the probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed. %% the probability that the null hypothesis is true. %% the probability that the alternative hypothesis is false. %%|In testing hypotheses, which of the following would be strong evidence against the null hypotheses? # using a small level of significance. %% using a large level of significance. %% obtaining data with a small P-value. %% obtaining a data with a large P-value. %%|In a test of hypotheses, the data are statistically significant at level a if # <span style='font-family:Symbol'>a</span> = 0.05 %% <span style='font-family:Symbol'>a</span> is small %% the P-value is less than <span style='font-family:Symbol'>a</span> %% the P-value is larger than <span style='font-family:Symbol'>a</span> %%|Suppose that we are testing the hypotheses , for a normal population with standard deviation 6. A random sample of nine observations are drawn and sample mean found to be 53. The test statistic is # <br><img src="teststata.jpg"> %% <br><img src="teststatb.jpg"> %% <br><img src="teststatc.jpg"> %% <br><img src="teststatd.jpg"> %%|Suppose that we are testing the hypotheses , for a normal population with standard deviation 6. A random sample of nine observations are drawn and sample mean found to be 53. The P-value is closest to # 0.0668 %% 0.1336 %% 0.0332 %% 0.3085 %%