The mean exam score for 43 male high school students is 20.2 and the population standard deviation is 4.7. The mean exam score for 54 female high school students is 19.2 and the population standard deviation is 4.4. At α=0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state Ho and Ha What is the claim? OA. Male and female high school students have equal exam scores. OB. Male and female high school students have different exam scores. OC. Male high school students have lower exam scores than female students. OD. Male high school students have greater exam scores than female students. What are Ho and Ha? OA. Ho: H₁ H₂ Hai H2 H2 OD. Ho: H₁ H₂ Hai HSH2 OB. Ho: H₁ H₂ Haiti H2 O E. Ho: H₁ H₂ Hai HH2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are. (Round to two decimal places as needed. Use a comma to separate answers as needed.) CO OC. Ho: H₁ H₂ Hai thg 7 12 OF. Ho: H₁ H₂ Ha: H1 H₂

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section: Chapter Questions
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The mean exam score for 43 male high school students is 20.2 and the population standard deviation is 4.7. The mean exam score for 54 female high school students is 19.2 and the population
standard deviation is 4.4. At α = 0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e).
Click here to view page 1 of the standard normal distribution table
Click here to view page 2 of the standard normal distribution table.
What is/are the rejection region(s)?
O A. z<-3.08, z> -3.08
OC. z< -2.33
OE. z< 1.64
O G. z< -1.64, z> 1.64
(c) Find the standardized test statistic z for H₁-H₂-
Z= (Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
O A. Fail to reject Ho. The standardized test statistic is not in the rejection region.
OB. Fail to reject Ho. The standardized test statistic is in the rejection region.
OC. Reject Ho. The standardized test statistic is in the rejection region.
D. Reject Ho. The standardized test statistic is not in the rejection region.
(e) Interpret the decision in the context of the original claim.
OB. z<-2.58, z> 2.58
OD. z>2.58
OF. z< -2.33, z> - 2.33
OH. z> -3.08
Transcribed Image Text:The mean exam score for 43 male high school students is 20.2 and the population standard deviation is 4.7. The mean exam score for 54 female high school students is 19.2 and the population standard deviation is 4.4. At α = 0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table. What is/are the rejection region(s)? O A. z<-3.08, z> -3.08 OC. z< -2.33 OE. z< 1.64 O G. z< -1.64, z> 1.64 (c) Find the standardized test statistic z for H₁-H₂- Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O A. Fail to reject Ho. The standardized test statistic is not in the rejection region. OB. Fail to reject Ho. The standardized test statistic is in the rejection region. OC. Reject Ho. The standardized test statistic is in the rejection region. D. Reject Ho. The standardized test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. OB. z<-2.58, z> 2.58 OD. z>2.58 OF. z< -2.33, z> - 2.33 OH. z> -3.08
The mean exam score for 43 male high school students is 20.2 and the population standard deviation is 4.7. The mean exam score for 54 female high school students is 19.2 and the population
standard deviation is 4.4. At α=0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e).
Click here to view page 1 of the standard normal distribution table
Click here to view page 2 of the standard normal distribution table.
(a) Identify the claim and state Ho and Ha
What is the claim?
OA. Male and female high school students have equal exam scores.
OB. Male and female high school students have different exam scores.
OC. Male high school students have lower exam scores than female students.
O D. Male high school students have greater exam scores than female students.
What are Ho and H₂?
OA. Ho: H₁ <H₂
Hai H2 H2
OD. Ho: H₁ H₂
Hai HSH2
OB. Ho: H₁ H₂
Hai H=H2
O E. Ho: H₁ H₂
Hai
HH2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
C
OC. Ho: H₁ H₂
Hai kg 72
OF. Ho: H₁ H₂
Hai
HH2
Transcribed Image Text:The mean exam score for 43 male high school students is 20.2 and the population standard deviation is 4.7. The mean exam score for 54 female high school students is 19.2 and the population standard deviation is 4.4. At α=0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state Ho and Ha What is the claim? OA. Male and female high school students have equal exam scores. OB. Male and female high school students have different exam scores. OC. Male high school students have lower exam scores than female students. O D. Male high school students have greater exam scores than female students. What are Ho and H₂? OA. Ho: H₁ <H₂ Hai H2 H2 OD. Ho: H₁ H₂ Hai HSH2 OB. Ho: H₁ H₂ Hai H=H2 O E. Ho: H₁ H₂ Hai HH2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are. (Round to two decimal places as needed. Use a comma to separate answers as needed.) C OC. Ho: H₁ H₂ Hai kg 72 OF. Ho: H₁ H₂ Hai HH2
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