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o test Ho: p=40 versus H₁ μ#40, a simple random sample of size n = 35 is obtained. Complete Click the icon to view the table of critical t-values. a) Does the population have to be normally distributed to test this hypothesis by using t-distributic OA. No-there are no constraints in order to perform a hypothesis test.

o test Ho: p=40 versus H₁ μ#40, a simple random sample of size n = 35 is obtained. Complete Click the icon to view the table of critical t-values. a) Does the population have to be normally distributed to test this hypothesis by using t-distributic OA. No-there are no constraints in order to perform a hypothesis test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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To test Ho: μ= 40 versus H₁ μ#40, a simple random sample of size n = 35 is obtained. Complete parts (a) through (f) below. Click the icon to view the table of critical t-values. (a) Does the population have to be normally distributed to test this hypothesis by using t-distribution methods? Why? OA. No-there are no constraints in order to perform a hypothesis test. OB. Yes-the population must be normally distributed in all cases in order to perform a hypothesis test. OC. No-since the sample size is at least 30, the underlying population does not need to be normally distributed. COD. Yes since the sample size is at not least 50, the underlying population does not need to be normally distributed. (b) If x= 43.9 and s= 9.1, compute the test statistic. to = (Round to two decimal places as needed.). (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A. OB. O C. O Q TILF-D .. A Q possible O D.
Transcribed Image Text:To test Ho: μ= 40 versus H₁ μ#40, a simple random sample of size n = 35 is obtained. Complete parts (a) through (f) below. Click the icon to view the table of critical t-values. (a) Does the population have to be normally distributed to test this hypothesis by using t-distribution methods? Why? OA. No-there are no constraints in order to perform a hypothesis test. OB. Yes-the population must be normally distributed in all cases in order to perform a hypothesis test. OC. No-since the sample size is at least 30, the underlying population does not need to be normally distributed. COD. Yes since the sample size is at not least 50, the underlying population does not need to be normally distributed. (b) If x= 43.9 and s= 9.1, compute the test statistic. to = (Round to two decimal places as needed.). (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A. OB. O C. O Q TILF-D .. A Q possible O D.
(f) Construct a 99% confidence interval to test the hypothesis. The lower bound is The upper bound is (Round to three decimal places as needed.) the confidence interval, we 5 (d) Approximate and interpret the P-value. The probability of observing a statistic the one observed, assuming is true, is in the range (e) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, will the researcher reject the null hypothesis? Why? 4 Because the P-value is than a, the researcher will the null hypothesis. Because the value lies (Type an integer or decimal. Do not round.) A the null hypothesis. O D -3 0 ▼ Delete
Transcribed Image Text:(f) Construct a 99% confidence interval to test the hypothesis. The lower bound is The upper bound is (Round to three decimal places as needed.) the confidence interval, we 5 (d) Approximate and interpret the P-value. The probability of observing a statistic the one observed, assuming is true, is in the range (e) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, will the researcher reject the null hypothesis? Why? 4 Because the P-value is than a, the researcher will the null hypothesis. Because the value lies (Type an integer or decimal. Do not round.) A the null hypothesis. O D -3 0 ▼ Delete
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