(a) A manufacturing company claims that its workers have a mean productivity rate, per month, of at least 40,000 per unit. The firm's human resources department randomly selected worker productivity data for 50 months and claimed that the mean productivity figure to be 39200 per unit. The workers productivity follows a normal distribution with a standard deviation of 14800 units. State the null and alternative hypotheses for this test. Find the p-value for the test of hypothesis. Will the pull hypothesis be rejected at a 5% significance level? i. ii.

MATLAB: An Introduction with Applications
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QUESTION 4
(a) A manufacturing company claims that its workers have a mean productivity rate, per month, of at
least 40,000 per unit. The firm's human resources department randomly selected worker productivity data
for 50 months and claimed that the mean productivity figure to be 39200 per unit. The workers
productivity follows a normal distribution with a standard deviation of 14800 units.
State the null and alternative hypotheses for this test.
i.
ii.
iii.
(b)
(c)
Find the p-value for the test of hypothesis.
Will the null hypothesis be rejected at a 5% significance level?
Using the statistics given above, construct a 95% confidence interval for the mean monthly
production figure for the company.
The increase in salary demanded by a particular group of workers is normally distributed with a
mean of $ 81,000 and a variance of $790,000. If 30 workers were selected, what is the probability
that the mean salary increase request is at most $80,200.
Transcribed Image Text:QUESTION 4 (a) A manufacturing company claims that its workers have a mean productivity rate, per month, of at least 40,000 per unit. The firm's human resources department randomly selected worker productivity data for 50 months and claimed that the mean productivity figure to be 39200 per unit. The workers productivity follows a normal distribution with a standard deviation of 14800 units. State the null and alternative hypotheses for this test. i. ii. iii. (b) (c) Find the p-value for the test of hypothesis. Will the null hypothesis be rejected at a 5% significance level? Using the statistics given above, construct a 95% confidence interval for the mean monthly production figure for the company. The increase in salary demanded by a particular group of workers is normally distributed with a mean of $ 81,000 and a variance of $790,000. If 30 workers were selected, what is the probability that the mean salary increase request is at most $80,200.
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b and c please. 

(b)
(c)
Using the statistics given above, construct a 95% confidence interval for the mean monthly
production figure for the company.
The increase in salary demanded by a particular group of workers is normally distributed with a
mean of $ 81,000 and a variance of $790,000. If 30 workers were selected, what is the probability
that the mean salary increase request is at most $80,200.
Transcribed Image Text:(b) (c) Using the statistics given above, construct a 95% confidence interval for the mean monthly production figure for the company. The increase in salary demanded by a particular group of workers is normally distributed with a mean of $ 81,000 and a variance of $790,000. If 30 workers were selected, what is the probability that the mean salary increase request is at most $80,200.
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