A furniture store claims that a specially ordered product will take, on average, µ = 28 days (4 weeks) to arrive. The standard deviation of these waiting times is 8 days. We suspect that the special orders are taking longer than this. To test this suspicion, we track a random sample of 100 special orders and find that the orders took a mean of 29 days to arrive. Can we conclude at the 0.05 level of significance that the mean waiting time on special orders at this furniture store exceeds 28 days? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) Can we conclude that the mean waiting time on special orders at this furniture store exceeds 
28
 days?
 
Yes 
 
No
A furniture store claims that a specially ordered product will take, on average, u = 28 days (4 weeks) to arrive. The standard deviation of these waiting times is
8 days. We suspect that the special orders are taking longer than this. To test this suspicion, we track a random sample of 100 special orders and find that the
orders took a mean of 29 days to arrive. Can we conclude at the 0.05 level of significance that the mean waiting time on special orders at this furniture store
exceeds 28 days?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
Transcribed Image Text:A furniture store claims that a specially ordered product will take, on average, u = 28 days (4 weeks) to arrive. The standard deviation of these waiting times is 8 days. We suspect that the special orders are taking longer than this. To test this suspicion, we track a random sample of 100 special orders and find that the orders took a mean of 29 days to arrive. Can we conclude at the 0.05 level of significance that the mean waiting time on special orders at this furniture store exceeds 28 days? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
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