Ho: μ ≤ 12 H₂: μ> 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.44. (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. O p-value > 0.200 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010 < p-value < 0.025 O p-value < 0.010 (c) At a = 0.05, what is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that μ > 12. O Reject Ho. There is sufficient evidence to conclude that μ > 12. O Reject Ho. There is insufficient evidence to conclude that μ > 12. O Do not reject Ho. There is sufficient evidence to conclude that μ > 12.

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Chapter1: Starting With Matlab
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Ho: μ ≤ 12
Ha: μ> 12
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.44.
(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.
O p-value > 0.200
O 0.100 < p-value < 0.200
O 0.050 < p-value < 0.100
O 0.025 < p-value < 0.050
O 0.010 < p-value < 0.025
O p-value < 0.010
(c) At a = 0.05, what is your conclusion?
O Do not reject Ho. There is insufficient evidence to conclude that μ > 12.
Reject Ho. There is sufficient evidence to conclude that µ > 12.
Reject Ho. There is insufficient evidence to conclude that μ > 12.
Do not reject Ho. There is sufficient evidence to conclude that μ> 12.
(d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)
test statistic ≤
test statistic >
What is your conclusion?
O Do not reject Ho. There is insufficient evidence to conclude that μ > 12.
Reject Ho. There is sufficient evidence to conclude that µ > 12.
Reject Ho. There is insufficient evidence to conclude that µ > 12.
Do not reject Ho. There is sufficient evidence to conclude that μ> 12.
Transcribed Image Text:Ho: μ ≤ 12 Ha: μ> 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.44. (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. O p-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010 < p-value < 0.025 O p-value < 0.010 (c) At a = 0.05, what is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that μ > 12. Reject Ho. There is sufficient evidence to conclude that µ > 12. Reject Ho. There is insufficient evidence to conclude that μ > 12. Do not reject Ho. There is sufficient evidence to conclude that μ> 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic ≤ test statistic > What is your conclusion? O Do not reject Ho. There is insufficient evidence to conclude that μ > 12. Reject Ho. There is sufficient evidence to conclude that µ > 12. Reject Ho. There is insufficient evidence to conclude that µ > 12. Do not reject Ho. There is sufficient evidence to conclude that μ> 12.
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