You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: ? ≤ 50 Ha: ? > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use  ? = 0.05.  (Round your answers to two decimal places.) (a) x = 52.3 Find the value of the test statistic.   State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Reject H0. There is insufficient evidence to conclude that ? > 50.Reject H0. There is sufficient evidence to conclude that ? > 50.    Do not reject H0. There is insufficient evidence to conclude that ? > 50.Do not reject H0. There is sufficient evidence to conclude that ? > 50. (b) x = 51 Find the value of the test statistic.   State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Reject H0. There is insufficient evidence to conclude that ? > 50.Reject H0. There is sufficient evidence to conclude that ? > 50.    Do not reject H0. There is insufficient evidence to conclude that ? > 50.Do not reject H0. There is sufficient evidence to conclude that ? > 50. (c) x = 51.9 Find the value of the test statistic.   State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Reject H0. There is insufficient evidence to conclude that ? > 50.Reject H0. There is sufficient evidence to conclude that ? > 50.    Do not reject H0. There is insufficient evidence to conclude that ? > 50.Do not reject H0. There is sufficient evidence to conclude that ? > 50.

Please answer the question in the picture below to answer the question in the other picture

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 74.3. You would like to be 98% confident that your estimate is within 3 of the true population mean. How large of a sample size is required? Round up to nearest whole number. n =

Consider the following data: −10, −10, 0, 3, −10, 3, 3  Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately �=76.4. We would like to be 95% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?�=

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 21.5. You would like to be 99% confident that your estimate is within 10 of the true population mean. How large of a sample size is required? n =

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 22.3. You would like to be 98% confident that your estimate is within 3 of the true population mean. How large of a sample size is required? Do not round mid-calculation. n =

Solve last two parts of c Variance and standard deviation only