Help with statistics homework! 1 problem.. Thanks

Posted on 2013-11-27 11:32:00 in Statistics by SARAH

I am really struggling with this statistics problem. I was able to answer some of the problems. Where I put question marks is where I am struggling. Please help, I will give ten points. THANK YOU!!!!!



Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 69 satisfaction ratings to provide evidence supporting the claim that the mean composite satisfaction rating for the XYZ-Box exceeds 42.



(a)

Letting µ represent the mean composite satisfaction rating for the XYZ-Box, set up the null hypothesis H0 and the alternative hypothesis Ha needed if we wish to attempt to provide evidence supporting the claim that µ exceeds 42.



H0: µ 42 versus Ha: µ 42.



(b)

The random sample of 69 satisfaction ratings yields a sample mean of . Assuming that ? equals 2.61, use critical values to test H0 versus Ha at each of ? = .10, .05, .01, and .001. (Round your answer z.05 to 3 decimal places and other z-scores to 2 decimal places.)



z = ???



Rejection points

z.10 = ???

z.05 = ???

z.01 = ???

z.001 = ???



Reject H0 with ? = , but not with ? =



(c)

Using the information in part (b), calculate the p-value and use it to test H0 versus Ha at each of ? = .10, .05, .01, and .001. (Round your answers to 4 decimal places.)



p-value = ???

Since p-value = ??? is less than .10, .05, .01 ; reject H0 at those levels of ? but not with

a= .001



(d) How much evidence is there that the mean composite satisfaction rating exceeds 42?



There is Very strong evidence.

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