According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,078  in 2018 . 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).   b. For a sample 400 of  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 a=1,800  may be assumed. What is the p  -value (to 4 decimals)? c. Using , can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? yes or no d. Repeat the preceding hypothesis test using the critical value approach. Using a=0.05 what is the critical value for the test statistic (to  3  decimals)? Enter negative value as negative number. State the rejection rule: Reject  if  is  the critical value.  choices:  greater than or equal to,   greater than,  less than or equal to, less than, equal to  ,  not equal to  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? yes or no

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CT
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According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,078  in 2018 . 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).

 

b. For a sample 400 of  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 a=1,800  may be assumed. What is the p  -value (to 4 decimals)?

c. Using , can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? yes or no

d. Repeat the preceding hypothesis test using the critical value approach.

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

State the rejection rule: Reject  if  is  the critical value.  choices:  greater than or equal to,   greater than,  less than or equal to, less than, equal to  ,  not equal to 

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? yes or no 

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is it p=value is suppose to be 0.0401 not 0.0395 to according z-table of -1.75

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