P value?= of 4 data points?

gmoney5588

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Oct 1, 2014
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Hey guys, i'm just starting to take a basic stat class and i'm very very confused.... this is an online course so i can't get much help from classes.

The problem statement is as follows:
the following data are measured for the cooking times of 4 pies: 6, 6, 7, and 7 hours. We are interested to use this data to establish information on the cooking times of the population of recipes that are represented by this sample.
1) is there evidence to support the claim (alpha=0.05) that the cooking time is less than 7hours?
2) what p value would support a claim that the cooking time is less than 7 hours?
3) what are the 95% confidence limits?

thank you!

my understanding is that for 1) i need to find the mean value, which is 6.5 and the standard deviation which is 0.5
Then yes, the cooking time is less than 7hours because 6-7hours are all covered within the standard deviation.

as for number two... i have no idea
and number 3) use z(alpha/2)*std dev/sqrt(sample size)

so z(.95/2)*.5/sqrt(4)
z(0.475)*0.5/2
1.96*.25
=.49
so 6.5 plus minus .49

6.01 <mu< 6.99
is that right?
 
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