Show transcribed image text Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: Ho: Î¼ 160 Ha: Î¼ 160 The population is normally distributed. A sample produces the following observations: 160 142 152 159 58 140 Use the critical value approach to conduct the test at a 5% level of significance. Use Table 2. a. Find the mean and the standard deviation. (Round your answer 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? Do not reject Ho since the value of the test statistic is less than the negative critical value. Do not reject Ho since the value of the test statistic is not less than the negative critical value. Reject Ho since the value of the test statistic is less than the negative critical value. OReject Ho since the value of the test statistic is not less than the negative critical value.

Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: Ho: Î¼ 160 Ha: Î¼ 160 The population is normally distributed. A sample produces the following observations: 160 142 152 159 58 140 Use the critical value approach to conduct the test at a 5% level of significance. Use Table 2. a. Find the mean and the standard deviation. (Round your answer 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? Do not reject Ho since the value of the test statistic is less than the negative critical value. Do not reject Ho since the value of the test statistic is not less than the negative critical value. Reject Ho since the value of the test statistic is less than the negative critical value. OReject Ho since the value of the test statistic is not less than the negative critical value.