Question

To test H0: ? = 20 versus H1: ? < 20, a simple random sample of size n = 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x? = 18.3 and s = 4.2, compute the test statistic. t = (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. B. C. (c) Approximate the P-value. Choose the correct range for the P-value below. A. 0.20 < P-value < 0.25 B. 0.10 < P-value < 0.15 C. 0.15 < P-value < 0.20 D. 0.05 < P-value < 0.10 (d) If the researcher decides to test this hypothesis at the ? = 0.05 level of significance, will the researcher reject the null hypothesis? A. The researcher will reject the null hypothesis since the P-value is less than ?. B. The researcher will not reject the null hypothesis since the P-value is less than ?. C. The researcher will reject the null hypothesis since the P-value is not less than ?. D. The researcher will not reject the null hypothesis since the P-value is not less than ?.

          To test H0: ? = 20 versus H1: ? < 20, a simple random sample of size n = 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).

Click here to view the t-Distribution Area in Right Tail.

(a) If x? = 18.3 and s = 4.2, compute the test statistic.
t = (Round to two decimal places as needed.)

(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?
A. B. C.

(c) Approximate the P-value. Choose the correct range for the P-value below.
A. 0.20 < P-value < 0.25
B. 0.10 < P-value < 0.15
C. 0.15 < P-value < 0.20
D. 0.05 < P-value < 0.10

(d) If the researcher decides to test this hypothesis at the ? = 0.05 level of significance, will the researcher reject the null hypothesis?
A. The researcher will reject the null hypothesis since the P-value is less than ?.
B. The researcher will not reject the null hypothesis since the P-value is less than ?.
C. The researcher will reject the null hypothesis since the P-value is not less than ?.
D. The researcher will not reject the null hypothesis since the P-value is not less than ?.

To test H0: ? = 20 versus H1: ? < 20, a simple random sample of size n = 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).

Click here to view the t-Distribution Area in Right Tail.

(a) If x? = 18.3 and s = 4.2, compute the test statistic.
t = (Round to two decimal places as needed.)

(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?
A. B. C.

(c) Approximate the P-value. Choose the correct range for the P-value below.
A. 0.20 < P-value < 0.25
B. 0.10 < P-value < 0.15
C. 0.15 < P-value < 0.20
D. 0.05 < P-value < 0.10

(d) If the researcher decides to test this hypothesis at the ? = 0.05 level of significance, will the researcher reject the null hypothesis?
A. The researcher will reject the null hypothesis since the P-value is less than ?.
B. The researcher will not reject the null hypothesis since the P-value is less than ?.
C. The researcher will reject the null hypothesis since the P-value is not less than ?.
D. The researcher will not reject the null hypothesis since the P-value is not less than ?.

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