consider the following hypothesis test h0 19 ha 19 a sample of 48 provided a sample mean x 18 an

(a) The test statistic is calculated using the formula: t = (x - μ) / (s / √n), where x is the s

Question

Consider the following hypothesis test. H0: 𝜇 = 19 Ha: 𝜇 ≠ 19 A sample of 48 provided a sample mean x = 18 and a sample standard deviation s = 4.3. (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 𝛼 = 0.05, what is your conclusion? Do not reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19. Reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19. Reject H0. There is insufficient evidence to conclude that 𝜇 ≠ 19. Do not reject H0. 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? Do not reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19. Reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19. Reject H0. There is insufficient evidence to conclude that 𝜇 ≠ 19. Do not reject H0. There is insufficient evidence to conclude that 𝜇 ≠ 19.

          Consider the following hypothesis test.
H0: 𝜇 = 19
Ha: 𝜇 ≠ 19
A sample of 48 provided a sample mean 
x = 18
 and a sample standard deviation 
s = 4.3.
(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 
𝛼 = 0.05,
 what is your conclusion?
Do not reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19.
Reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19.    
Reject H0. There is insufficient evidence to conclude that 𝜇 ≠ 19.
Do not reject H0. 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?
Do not reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19.
Reject H0. There is sufficient evidence to conclude that 𝜇 ≠ 19.    
Reject H0. There is insufficient evidence to conclude that 𝜇 ≠ 19.
Do not reject H0. There is insufficient evidence to conclude that 𝜇 ≠ 19.

Added by Jiang Z.

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