A pharmaceutical manufacturer is concerned about the impurity concentration in pills, and it is anxious that this concentration not exceed 3%, It is known that in any production run the impurity concentrations follow a normal distribution, A random sample of 25 pills from a production run was checked and the sample mean impurity concentration was found to be 3.35%. The sample standard deviation was 0.5. Test the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%. Use a 5% significance level. Answer the following, and round off your answer

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Problem 4.
A pharmaceutical manufacturer is concerned
about the impurity concentration in pills, and it is
anxious that this concentration not exceed 3%. It
is known that in any production run the impurity
concentrations follow a normal distribution. A
random sample of 25 pills from a production run
was checked and the sample mean impurity
concentration was found to be 3.35%. The
sample standard deviation was 0.5. Test the null
hypothesis that the population mean impurity
concentration is 3% against the alternative that it
is more than 3%. Use a 5% significance level.
Answer the following, and round off your answer
to three decimal places.
(a) What is the test statistic used in the decision
rule?
(b) What is the critical value?
(c) Can the null hypothesis be rejected at a 5%
significance level?
A. Reject the null hypothesis.
B. Do not reject the null hypothesis.
Note: You can earn partial credit on this problem.
preview answers
Transcribed Image Text:A webwork.bmcc.cuny.edu/ Problem 4. A pharmaceutical manufacturer is concerned about the impurity concentration in pills, and it is anxious that this concentration not exceed 3%. It is known that in any production run the impurity concentrations follow a normal distribution. A random sample of 25 pills from a production run was checked and the sample mean impurity concentration was found to be 3.35%. The sample standard deviation was 0.5. Test the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%. Use a 5% significance level. Answer the following, and round off your answer to three decimal places. (a) What is the test statistic used in the decision rule? (b) What is the critical value? (c) Can the null hypothesis be rejected at a 5% significance level? A. Reject the null hypothesis. B. Do not reject the null hypothesis. Note: You can earn partial credit on this problem. preview answers
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