Although many people think they can put a meal on the table in a short period of time, a recent article reported that they end up spending about 40 minutes doing so. Suppose another study is conducted to test the validity of this statement. A sample of 25 people is selected, and the length of time to prepare and cook dinner is recorded with mean=45.628 minutes, standard deviation=6.9587 minutes.   Is there evidence that the population mean time to prepare and cook dinner is greater than 40 minutes? Use a level of significance of 0.05.    Determine the p-value and interpret its meaning.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
Question

Although many people think they can put a meal on the table in a short period of time, a recent article reported that they end up spending about 40 minutes doing so. Suppose another study is conducted to test the validity of this statement. A sample of 25 people is selected, and the length of time to prepare and cook dinner is recorded with mean=45.628 minutes, standard deviation=6.9587 minutes.  

Is there evidence that the population mean time to prepare and cook dinner is greater than 40 minutes? Use a level of significance of 0.05. 

 

Determine the p-value and interpret its meaning. 

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