In Country . the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 153-year-old boys from Country B showed a sample mean of 36.8 inches witha standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Compiete parts a throug A 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 corectly states Hg and H,? H>37 OB Hus37 Hp237 OA H=37 Hp=37 OD H37 Hp-37 OE H>37 H37 Find the test statistic t- -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the pvalue. p- 0.702 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject H. Choose the comect answer below. A Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05. OB. Do not reject Hg. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05. OC. Reject Hg. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05. OD. Reject H The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05. b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test. Find the test statistic. Tres an
In Country . the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 153-year-old boys from Country B showed a sample mean of 36.8 inches witha standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Compiete parts a throug A 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 corectly states Hg and H,? H>37 OB Hus37 Hp237 OA H=37 Hp=37 OD H37 Hp-37 OE H>37 H37 Find the test statistic t- -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the pvalue. p- 0.702 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject H. Choose the comect answer below. A Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05. OB. Do not reject Hg. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05. OC. Reject Hg. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05. OD. Reject H The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05. b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test. Find the test statistic. Tres an
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 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: H#37
O A.
Ha: H= 37
Ho: µ> 37
H: us 37
Ho: H2 37
OC.
Ha: u<37
OB.
Ho: μ=37
Ha: H<37
Ho: H= 37
OE.
Ha: µ> 37
Ho: µ = 37
Ha: u#37
Find the test statistic.
t= -0.39
(Type an integer or decimal rounded to two decimal places as needed.)
Find the p-value.
p= 0.702
(Type an integer or decimal rounded to three decimal places as needed.)
Reject or do not reject Ho. Choose the correct answer below.
A. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05.
B. Do not reject Ho. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05.
C. Reject Ho. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05.
D. Reject H,. The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05.
b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test.
Find the test statistic.
0
t =
(Type an integer or decimal rounded to two decimal places as needed.)
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