Consider the following hypothesis test. Ho: μ = 18 H₂:μ # 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.9. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value> 0.200 0.100 < p-value < 0.200 0.050 p-value < 0.100 0.025 p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 (c) At a = 0.05, what is your conclusion? Reject Ho. There is insufficient evidence to conclude that μ # 18. Reject Ho. There is sufficient evidence to conclude that μ # 18. Do not reject Ho. There is insufficient evidence to conclude that μ # 18. Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 18.
Consider the following hypothesis test. Ho: μ = 18 H₂:μ # 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.9. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value> 0.200 0.100 < p-value < 0.200 0.050 p-value < 0.100 0.025 p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 (c) At a = 0.05, what is your conclusion? Reject Ho. There is insufficient evidence to conclude that μ # 18. Reject Ho. There is sufficient evidence to conclude that μ # 18. Do not reject Ho. There is insufficient evidence to conclude that μ # 18. Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 18.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Related questions
Question
![Consider the following hypothesis test.
Ho: = 18
Ha: μ # 18
A sample of 48 provided a sample mean X = 17 and a sample standard deviation s = 4.9.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
(b) Use the t distribution table to compute a range for the p-value.
p-value > 0.200
0.100 p-value < 0.200
0.050 p-value < 0.100
0.025 p-value < 0.050
0.010 < p-value < 0.025
p-value < 0.010
(c) At a = 0.05, what is your conclusion?
Reject Ho. There is insufficient evidence to conclude that μ = 18.
Reject Ho. There is sufficient evidence to conclude that μ # 18.
Do not reject Ho. There is insufficient evidence to conclude that μ ‡ 18.
Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 18.
4.
W
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4ed8498-f2f2-4dcb-bcb0-3b3cd025dd21%2F73a9dc9a-53e9-4ecc-a5f0-05322dfdf723%2Fih0107l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following hypothesis test.
Ho: = 18
Ha: μ # 18
A sample of 48 provided a sample mean X = 17 and a sample standard deviation s = 4.9.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
(b) Use the t distribution table to compute a range for the p-value.
p-value > 0.200
0.100 p-value < 0.200
0.050 p-value < 0.100
0.025 p-value < 0.050
0.010 < p-value < 0.025
p-value < 0.010
(c) At a = 0.05, what is your conclusion?
Reject Ho. There is insufficient evidence to conclude that μ = 18.
Reject Ho. There is sufficient evidence to conclude that μ # 18.
Do not reject Ho. There is insufficient evidence to conclude that μ ‡ 18.
Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 18.
4.
W
P
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