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what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number.

what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Repeat the preceding hypothesis test using the critical value approach.

Using x=0.05 , what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number.

According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,073 in 2018. Consider the population of “last-minute” filers who mail their tax returns 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 \( H_0 \) will support the researcher’s contention. \( H_0: \mu_s = \) [Select your answer] \( H_a: \mu_s = \) [Select your answer] b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $940. Based on prior experience a population standard deviation of \( \sigma = 1,600 \) may be assumed. What is the \( p \)-value (to 4 decimals)? [Enter your answer] c. Using \( \alpha = 0.05 \), can you conclude that the population mean refund for “last minute” filers is less than the population mean refund for early filers? [Select your answer] d. Repeat the preceding hypothesis test using the critical value approach. Using \( \alpha = 0.05 \), what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number. [Enter your answer] State the rejection rule: Reject \( H_0 \) if \( z \) is [Select your answer] the critical value. Using the critical value approach, can you conclude that the population mean refund for “last minute” filers is less than the population mean refund for early filers? [Select your answer] **Note:** The text includes selections to be made for hypothesis testing and requires the student to calculate a \( p \)-value and a critical value to reach conclusions about hypothesis testing related to tax refunds.
Transcribed Image Text:According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,073 in 2018. Consider the population of “last-minute” filers who mail their tax returns 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 \( H_0 \) will support the researcher’s contention. \( H_0: \mu_s = \) [Select your answer] \( H_a: \mu_s = \) [Select your answer] b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $940. Based on prior experience a population standard deviation of \( \sigma = 1,600 \) may be assumed. What is the \( p \)-value (to 4 decimals)? [Enter your answer] c. Using \( \alpha = 0.05 \), can you conclude that the population mean refund for “last minute” filers is less than the population mean refund for early filers? [Select your answer] d. Repeat the preceding hypothesis test using the critical value approach. Using \( \alpha = 0.05 \), what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number. [Enter your answer] State the rejection rule: Reject \( H_0 \) if \( z \) is [Select your answer] the critical value. Using the critical value approach, can you conclude that the population mean refund for “last minute” filers is less than the population mean refund for early filers? [Select your answer] **Note:** The text includes selections to be made for hypothesis testing and requires the student to calculate a \( p \)-value and a critical value to reach conclusions about hypothesis testing related to tax refunds.
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