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. A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 35 coins was collected. Those coins have a mean weight of 2.49394 g and a standard deviation of 0.01501 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores) z or t= (Round to three decimal places as needed.) Identify the P-value. |. (Round to four 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. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. OC. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? O A. Yes, since the coins do not seem to come from a population with a mean weight different from 2.5 g. O B. No, since the coins seem to come from a population with a mean weight different from 2.5 g. OC. Yes, since the coins do not seem to come from a population with a mean weight different from 2.49394 O D. No, since the coins seem to come from a population with a mean weight different from 2.49394g. g. O E. The results are inconclusive because individual differences in coin weights need to be analyzed further.
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. A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 35 coins was collected. Those coins have a mean weight of 2.49394 g and a standard deviation of 0.01501 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores) z or t= (Round to three decimal places as needed.) Identify the P-value. |. (Round to four 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. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. OC. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? O A. Yes, since the coins do not seem to come from a population with a mean weight different from 2.5 g. O B. No, since the coins seem to come from a population with a mean weight different from 2.5 g. OC. Yes, since the coins do not seem to come from a population with a mean weight different from 2.49394 O D. No, since the coins seem to come from a population with a mean weight different from 2.49394g. g. O E. The results are inconclusive because individual differences in coin weights need to be analyzed further.
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.
A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 35 coins was collected. Those
coins have a mean weight of 2.49394 g and a standard deviation of 0.01501 g. Use a 0.05 significance level to test the claim
that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications
of the coin mint?
Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores)
z or t=
(Round to three decimal places as needed.)
Identify the P-value.
|. (Round to four 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. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with
a mean weight equal to 2.5 g.
O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a
mean weight equal to 2.5 g.
OC. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population
with a mean weight equal to 2.5 g.
O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a
mean weight equal to 2.5 g.
Do the coins appear to conform to the specifications of the coin mint?
O A. Yes, since the coins do not seem to come from a
population with a mean weight different from 2.5 g.
O B. No, since the coins seem to come from a population
with a mean weight different from 2.5 g.
OC. Yes, since the coins do not seem to come from a
population with a mean weight different from 2.49394
O D. No, since the coins seem to come from a population
with a mean weight different from 2.49394g.
g.
O E. The results are inconclusive because individual
differences in coin weights need to be analyzed further.
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