The Nero Match Company sells matchboxes that are said to contain an average of 40 matches per box with a standard deviation of 9 matches





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The Nero Match Company sells matchboxes that are said to contain an average of 40 matches per box with a standard deviation of 9 matches. A random sample of 93

Nero matchboxes shows the average number per box to be 41.9. Using a​ 1% level of​ significance, can you say that the average number of matches per box is more than​ 40?

​1) What type of hypothesis test is​ this?

A.

​1-sample Proportion using Z

B.

​1-sample Mean using Z

C.

​1-sample Mean using T

D.

Other

​2) State the hypotheses.  

​(Examples μ=10​, p>0.25. Include any zeros in front of the decimal​ place.)

    



H0:

H1:





​3) Calculate the value of the Test Statistic.

     Test Statistic​ =

nothing



  ​(round answer to two decimal​ places)

​4) Calculate the​ P-Value.

    ​ P-Value =

nothing



    ​(round answer to four decimal​ places)

​5) What is the​ Decision?

A.

Reject Upper H 0



H0

B.

Fail to Reject Upper H 0



H0

C.

Reject Upper H 1



H1

D.

Fail to Reject Upper H 1



H1

​6) Write the interpretation in SHOW YOUR WORK.

Click to select your answer(s).

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