Hi, I need help with these questions. Thank you.

u wish to test the following claim (HI) at a significance level of a = 0.10 = 55.8 55.8 You believe the population is normally distributed, but you do not know the standard deviation sample of size n = 25 with a mean of = 52.5 and a standard deviation of s = 13 6 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... C) reject the null C) accept the null O fail to reject the null such, the final conclusion is that... . You obtai O There is.ufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.8. C) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.8. O The sample data support the claim that the population mean is not equal to 55.8. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 55.8. You wh to test the following claim (HI) at a significance level Of = 52.6 < 52.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 10 with mean = 42.1 and a standard deviation of s 11 5 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... C) reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 52.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 52.6. O The sample data support the claim that the population mean is less than 52.6. O There is not sufficient sample evidence to support the claim that the population mean is less than 52.6. You wish to test the following claim (HI) at a significance level of a = O. 10 = 56.2 56.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 27 with mean = 59.5 and a standard deviation of s = 15.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the -value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is. C) less than (or equal to) a O greater than a This test statistic leads to a decision to. O reject the null C) accept the null O fail to reject the null As such, the final conclusion is that. C) There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 56.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 56.2. O The sample data support the claim that the population mean is not equal to 56.2. C) There is not sufficient sample evidence to support the claim that the population mean is not equal to 56.2. The average retirement age in America is 63 years old. Do small business owners retire at a younger average age? The data below shows the results Of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 60, 60, 65, 61, 60, 67, 58, 61, 56, 59, 61, 50, 51, 54, 60 What can be concluded at the the Q = O. 10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: cz=CZJ (Please round intermediate calculations to 2 decimal places. c. The test statistic ? v Please show your answer to 3 decimal places.) d. The pvalue places.) (Using your rounded test statistic, please show your answer to 4 decimal e. The p-value is ? v a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean is not significantly younger than 63 at a O. 10, so there is sufficient evidence to conclude that the population mean retirement age for small business owners is equal to 63. O The data suggest the populaton mean is significantly younger than 63 at a O. 10, so there is sufficient evidence to conclude that the population mean retirement age for small business owners is younger than 63. O The data suggest the population mean retirement age for small business owners is not significantly younger than 63 at a - O. 10, so there is insufficient evidence to conclude that the population mean retirement age for small business owners is younger than 63.