To test Ho: u= 39 versus H,: µ#39, a simple random sample of size n= 40 is obtained. Complete parts (a) through (f) below. E 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? O A. No-there are no constraints in order to perform a hypothesis test. O B. 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. O D. Yes-since the sample size is at not least 50, the underlying population does not need to be normally distributed. (b) If x= 42.9 and s = 9.9, compute the test statistic. 6=D0 (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. OA. OB. Oc. OD.
To test Ho: u= 39 versus H,: µ#39, a simple random sample of size n= 40 is obtained. Complete parts (a) through (f) below. E 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? O A. No-there are no constraints in order to perform a hypothesis test. O B. 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. O D. Yes-since the sample size is at not least 50, the underlying population does not need to be normally distributed. (b) If x= 42.9 and s = 9.9, compute the test statistic. 6=D0 (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. OA. OB. Oc. OD.
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![To test Ho: µ= 39 versus H,: µ# 39, a simple random sample of size n = 40 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?
A. No-there are no constraints in order to perform a hypothesis test.
B. Yes-the population must be normally distributed in all cases in order to perform a hypothesis test.
C. No-since the sample size is at least 30, the underlying population does not need to be normally distributed.
D. Yes-since the sample size is at not least 50, the underlying population does not need to be normally distributed.
(b) If x = 42.9 and s = 9.9, 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.
A.
В.
OC.
D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf75cc1a-323a-458a-a5ff-a394541d71e0%2F86b3fe5f-336b-471d-adca-0bebb5978abf%2F243m0np_processed.png&w=3840&q=75)
Transcribed Image Text:To test Ho: µ= 39 versus H,: µ# 39, a simple random sample of size n = 40 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?
A. No-there are no constraints in order to perform a hypothesis test.
B. Yes-the population must be normally distributed in all cases in order to perform a hypothesis test.
C. No-since the sample size is at least 30, the underlying population does not need to be normally distributed.
D. Yes-since the sample size is at not least 50, the underlying population does not need to be normally distributed.
(b) If x = 42.9 and s = 9.9, 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.
A.
В.
OC.
D.
![To test Ho: µ= 39 versus H1: µ# 39, a simple random sample of size n= 40 is obtained. Complete parts (a) through (f) below.
Click the icon to view the table of critical t-values.
3
-3
3
(d) Approximate and interpret the P-value.
The probability
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?
Because the P-value is
than a, the researcher will
the null hypothesis.
(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.)
Because the value lies
the confidence interval, we
the null hypothesis.
(Type an integer or decimal. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf75cc1a-323a-458a-a5ff-a394541d71e0%2F86b3fe5f-336b-471d-adca-0bebb5978abf%2Fyxoh2uf_processed.png&w=3840&q=75)
Transcribed Image Text:To test Ho: µ= 39 versus H1: µ# 39, a simple random sample of size n= 40 is obtained. Complete parts (a) through (f) below.
Click the icon to view the table of critical t-values.
3
-3
3
(d) Approximate and interpret the P-value.
The probability
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?
Because the P-value is
than a, the researcher will
the null hypothesis.
(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.)
Because the value lies
the confidence interval, we
the null hypothesis.
(Type an integer or decimal. Do not round.)
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