Find the p-value. (Type an integer or decimal rounded to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were
independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.
Which of the following correctly states Ho and Ha?
Ho: µ = 38
O A.
Ha: µ> 38
Ho: µ# 38
В.
Ha: µ= 38
Ho: µ> 38
Ha: us 38
%3D
Ho:µ2 38
Ha: µ< 38
Ho:u= 38
E.
Ha: µ#38
Ho: u= 38
%3D
OF.
Ha: u< 38
Find the test statistic.
t= - 0.19
(Type an integer or decimal rounded to two decimal places as needed.)
Find the p-value.
p =
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Ha? Ho: µ = 38 O A. Ha: µ> 38 Ho: µ# 38 В. Ha: µ= 38 Ho: µ> 38 Ha: us 38 %3D Ho:µ2 38 Ha: µ< 38 Ho:u= 38 E. Ha: µ#38 Ho: u= 38 %3D OF. Ha: u< 38 Find the test statistic. t= - 0.19 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p = (Type an integer or decimal rounded to three decimal places as needed.)
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