Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 227.3 sec and a standard deviation of 54.07 sec. Use a 0.05 significance level and the accompanying Minitab display to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual? Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores) z or t= (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) The P-value is Identify the critical value(s) of z or t. The critical value(s) is(are). (Round to three decimal places as needed. Use a comma to separate answers as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. O B. Fail to reject Ho. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. OC. Reject Ho. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. O D. Fail to reject Ho. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. What do the results suggest about the advice given in the manual? O A. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice. O B. The results suggest that 227.3 seconds the best song length. OC. The results are inconclusive because the average length of a hit song is constantly changing. O D. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 227.3 sec and a standard deviation of 54.07 sec. Use a 0.05 significance level and the accompanying Minitab display to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual? Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores) z or t= (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) The P-value is Identify the critical value(s) of z or t. The critical value(s) is(are). (Round to three decimal places as needed. Use a comma to separate answers as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. O B. Fail to reject Ho. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. OC. Reject Ho. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. O D. Fail to reject Ho. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec. What do the results suggest about the advice given in the manual? O A. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice. O B. The results suggest that 227.3 seconds the best song length. OC. The results are inconclusive because the average length of a hit song is constantly changing. O D. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Assume that a simple random sample has been selected from a normally distributed population and test the given claim.
Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that
addresses the original claim.
In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random
sample of 40 current hit songs results in a mean length of 227.3 sec and a standard deviation of 54.07 sec. Use a 0.05
significance level and the accompanying Minitab display to test the claim that the sample is from a population of songs with a
mean greater than 210 sec. What do these results suggest about the advice given in the manual?
Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores)
z or t=
(Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
The P-value is
Identify the critical value(s) of z or t.
The critical value(s) is(are).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
State the final conclusion that addresses the original claim. Choose the correct answer below.
O A. Reject Ho. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean
length greater than 210 sec.
O B. Fail to reject Ho. There is insufficient evidence to support the claim that the sample is from a population of songs with
a mean length greater than 210 sec.
OC. Reject Ho. There is insufficient evidence to support the claim that the sample is from a population of songs with a
mean length greater than 210 sec.
O D. Fail to reject Ho. There is sufficient evidence to support the claim that the sample is from a population of songs with a
mean length greater than 210 sec.
What do the results suggest about the advice given in the manual?
O A. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound
advice.
O B. The results suggest that 227.3 seconds
the best song length.
OC. The results are inconclusive because the average length of a hit song is constantly changing.
O D. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
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