9. 9-10 (Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: H0: 100 HA: < 100 The population is normally distributed. A sample produces the following observations 95 99 85 80 98 97 Use the critical value approach to conduct the test at a 1% level of significance. Use Table 2. a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) Mean _______ Standard deviation _______ b.Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic _______ c.Calculate the critical value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value _______ d.What is the conclusion? Reject H0 since the value of the test statistic is not less than the negative critical value. Reject H0 since the value of the test statistic is less than the negative critical value. Do not reject H0 since the value of the test statistic is not less than the negative critical value. Do not reject H0 since the value of the test statistic is less than the negative critical value. Consider the following hypotheses: H0: 210 HA: > 210 Approximate the p-value for this test based on the following sample information. Use Table 2. a. = 216; s = 26; n = 40 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 b. = 216; s = 26; n = 80 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 c. = 216; s = 16; n = 40 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 d. = 214; s = 16; n = 40 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10