Consider the following hypothesis test. Ho: μ = 19 Ha:μ # 19 A sample of 48 provided a sample mean x = 18 and a sample standard deviation s = 4.6. (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 0.050 0.025 < p-value < 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 # 19. Do not reject Ho. There is sufficient evidence to conclude that μ # 19. Reject Ho. There is sufficient evidence to conclude that μ # 19. Do not reject Ho. There is insufficient evidence to conclude that μ # 19.

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Question 15

Consider the following hypothesis test.
Ho: μ = 19
H₂:μ ‡ 19
A sample of 48 provided a sample mean x = 18 and a sample standard deviation s = 4.6.
(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
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?
O Reject Ho. There is insufficient evidence to conclude that μ # 19.
O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 19.
There is sufficient evidence to conclude that μ ‡ 19.
Reject Ho
Do not reject Ho. There is insufficient evidence to conclude that μ # 19.
(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 Reject Ho.
O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 19.
Reject Ho
There is sufficient evidence to conclude that μ ‡ 19.
Do not reject Ho. There is insufficient evidence to conclude that μ ‡ 19.
There is insufficient evidence to conclude that μ # 19.
Transcribed Image Text:Consider the following hypothesis test. Ho: μ = 19 H₂:μ ‡ 19 A sample of 48 provided a sample mean x = 18 and a sample standard deviation s = 4.6. (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 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? O Reject Ho. There is insufficient evidence to conclude that μ # 19. O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 19. There is sufficient evidence to conclude that μ ‡ 19. Reject Ho Do not reject Ho. There is insufficient evidence to conclude that μ # 19. (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 Reject Ho. O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 19. Reject Ho There is sufficient evidence to conclude that μ ‡ 19. Do not reject Ho. There is insufficient evidence to conclude that μ ‡ 19. There is insufficient evidence to conclude that μ # 19.
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Step 1: We write the given information in this step.

As per our guidelines we can solve first three sub part of question and rest can be reposted.

Solution-:

Given: 

n=48

We want to find

(a) Test statistic=?

(b) p-value=?

(c) At alpha equals 0.05 comma what is your conclusion?


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