OA. 0.15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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hello, can you help me with the last two questions please?

To test Hō: μ = 20 versus H₁: μ<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= 18.2 and s= 3.9, compute the test statistic.
t = -1.90 (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?
O A.
O B.
A
(c) Approximate the P-value. Choose the correct range for the P-value below.
O A. 0.15 < P-value <0.20
O B. 0.05<P-value < 0.10
OC. 0.025<P-value < 0.05
O D. 0.10 < P-value < 0.15
A
(d) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis?
O A. The researcher will not reject the null hypothesis since the P-value is less than a.
O B. The researcher will reject the null hypothesis since the P-value is less than a
O C. The researcher will not reject the null hypothesis since the P-value is not less than .
O D. The researcher will reject the null hypothesis since the P-value is not less than a.
C
O C.
Transcribed Image Text:To test Hō: μ = 20 versus H₁: μ<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= 18.2 and s= 3.9, compute the test statistic. t = -1.90 (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? O A. O B. A (c) Approximate the P-value. Choose the correct range for the P-value below. O A. 0.15 < P-value <0.20 O B. 0.05<P-value < 0.10 OC. 0.025<P-value < 0.05 O D. 0.10 < P-value < 0.15 A (d) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis? O A. The researcher will not reject the null hypothesis since the P-value is less than a. O B. The researcher will reject the null hypothesis since the P-value is less than a O C. The researcher will not reject the null hypothesis since the P-value is not less than . O D. The researcher will reject the null hypothesis since the P-value is not less than a. C O C.
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