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(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 H, will support the researcher's contention. Ο H0 , μ > 51,064 H3i HS $1,064 O Ho: H< $1,064 H:µ2 $1,064 Ο H, : μs$1,064 H:µ > $1,064 Ο H: μ- $1,064 H:u # $1,064 Ο H0 : μ 2 51,064 H:H< $1,064 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of o = $1,600 may be assume What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than $1,064. O Do not reject Ho. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064.

(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 H, will support the researcher's contention. Ο H0 , μ > 51,064 H3i HS $1,064 O Ho: H< $1,064 H:µ2 $1,064 Ο H, : μs$1,064 H:µ > $1,064 Ο H: μ- $1,064 H:u # $1,064 Ο H0 : μ 2 51,064 H:H< $1,064 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of o = $1,600 may be assume What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than $1,064. O Do not reject Ho. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064.

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
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(d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. O Ho: µ > $1,064 H3: Hs $1,064 O Ho: H< $1,064 Ha: u 2 $1,064 O Ho: HS $1,064 Ha: u > $1,064 O Ho: µ = $1,064 Ha: u # $1,064 O Ho: µ z $1,064 H: µ < $1,064 Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection rule. (Use a = 0.05. Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. O Do not reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than $1,064. O Do not reject H.. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less than or equal $1,064.
Transcribed Image Text:(d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. O Ho: µ > $1,064 H3: Hs $1,064 O Ho: H< $1,064 Ha: u 2 $1,064 O Ho: HS $1,064 Ha: u > $1,064 O Ho: µ = $1,064 Ha: u # $1,064 O Ho: µ z $1,064 H: µ < $1,064 Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection rule. (Use a = 0.05. Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. O Do not reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than $1,064. O Do not reject H.. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less than or equal $1,064.
Individuals filing federal income tax returns prior to March 31 received an average refund of $1,064. 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 researcher's contention. O Ho: µ > $1,064 H3: µs $1,064 O Ho: H< $1,064 H3: µ 2 $1,064 Ο H: μ< $1,064 H3: H > $1,064 O Ho: u = $1,064 H: µ + $1,064 Ο Hρ: μ > $1,064 H3: µ < $1,064 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of o = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? Do not reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than $1,064. Do not reject H. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho: There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less than or equal $1,064.
Transcribed Image Text:Individuals filing federal income tax returns prior to March 31 received an average refund of $1,064. 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 researcher's contention. O Ho: µ > $1,064 H3: µs $1,064 O Ho: H< $1,064 H3: µ 2 $1,064 Ο H: μ< $1,064 H3: H > $1,064 O Ho: u = $1,064 H: µ + $1,064 Ο Hρ: μ > $1,064 H3: µ < $1,064 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of o = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? Do not reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than $1,064. Do not reject H. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho: There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than $1,064. O Reject Ho. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less than or equal $1,064.
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