People Window Help Quiz: Chapter 6 WS1 s/49202/quizzes/102605/take Imported From

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People Window Help Quiz: Chapter 6 WS1 s/49202/quizzes/102605/take Imported From Safari 0 words Question 4 3 pts In a survey of 20 people who had just donated money to charity, participants were asked how much money they gave. On average, respondents reported giving $16 to the charity with a sample standard deviation of 6, Calculate the 95% confidence interval. 1) Calculate the standard error based on the sample standard deviation. 2) Calculate the 95% confidence interval. (Format your answer as "# to #"-eg., "12 to 14") 3) State the confidence interval in sentence form. Be sure that your statement reflects the details of the specific scenario (i.e., discuss the specific variable, such as weight in pounds). HTML EditorE 13 MacBook Air

Explanation / Answer

1Ans:

Given that

sample size,n=20

mean=16

standard deviation,s=6

df=20-1=19

critical t value=tinv(0.05,19)=2.093

1)standard error=6/sqrt(20)=1.342

2)95% confidence interval for mean

=16+/-2.093*1.342

=16+/-2.8

=(13.2, 18.8)

3)We are 95% confident that true mean amount of charity donated falls between 13.2 and 18.8.

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