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# (Solved): Consider the following hypothesis test.H0: = 19Ha: 19A sample of 48 provided a sample ...

Consider the following hypothesis test.

H0: ???? = 19

Ha: ???? ≠ 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.)

1.612

(b)

Use the t distribution table to compute a range for the p-value.

p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value < 0.010

(c)

At

???? = 0.05,

Reject H0. There is insufficient evidence to conclude that ???? ≠ 19.Do not reject H0. There is sufficient evidence to conclude that ???? ≠ 19. Do not reject H0. There is insufficient evidence to conclude that ???? ≠ 19.Reject H0. There is sufficient evidence to conclude that ???? ≠ 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≥

Reject H0. There is insufficient evidence to conclude that ???? ≠ 19.Do not reject H0. There is sufficient evidence to conclude that ???? ≠ 19. Do not reject H0. There is insufficient evidence to conclude that ???? ≠ 19.Reject H0. There is sufficient evidence to conclude that ???? ≠ 19.

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(a)
The test statistic is:

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