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Consider the following hypothesis test.

*H*_{0}: ???? = 19

*H*_{a}: ???? ≠ 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 < 0.025*p*-value < 0.010

(c)

At

???? = 0.05,

what is your conclusion?

Reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 19.Do not reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 19. Do not reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 19.Reject *H*_{0}. 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≥

What is your conclusion?

Reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 19.Do not reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 19. Do not reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 19.Reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 19.

(a)

The test statistic is: