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Please provide the correct answers for the ones marked with a RED X near them

Individuals filing federal income tax returns prior to March 31 received an average refund of $1,072. Consider the population of last-minute filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15) a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of Ho will support the researchers contention. Ho : μ is) greater than or equal to 1,072 , Ha: μ is Less than 1,072 Ob. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $920. Based on prior experience a population standard deviation of σ-$ 1,600 may be assumed. What is the p-value (to 4 decimals)? 0.0490 * c. Using α 0.05, can you conclude that the population mean refund for last minute filers is less than the population mean refund for early niers? Answer the next three questions using the critical value approach. d. Using a 0.05, what is the critical value for the test statistic? Enter negative value as negative number State the rejection rule: Reject a - 0.05 if z is less than or equal to the critical value. Using α-0.05, can you conclude that the population mean refund for-last minute-filers is less than the populaton mean refund for early filers
Ho: μ.# 15 H,: μ 15 A sample of 40 provided a sample mean of 14.14. The population standard deviation s 6. Enter negative value as negative number a. Compute the value of the test statistic (to 2 decimals). 1.04 b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. 0.2983 c. Using α 0.05, can it be concluded that the population mean is not equal to 157 No Answer the next three questions using the critical value approach. d. Using α-0.05, what are the critical values for the test statistic-or-) 1.96 ⓥ (to 2 decimals) State the rejection rule: Reject Ho if is less than or equal to Can it be concluded that the population mean is not equal to 15 the lower critical value and is (oreater than or equal tothe upper critical value. pe here to search
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