Question

A typical college student drinks an average of 27 gallons of coffee each year, or 2.25 gallons per month. A sample of 64 students at Brigham Young University in Utah revealed an average of 2.09 gallons per month with a standard deviation of .506 gallons per month..

At the 10% level of significance, test to see if there is a significant difference between the average amount consumed at Brigham Young and the national average.

Find the p-value.

Please explain your work in simple words. Thanks !

Answer 1

Here we have to test

the null hypothesis

the akternative hypothesis

the sample size=n=64

Sample mean=

Sample standard deviation=s=0.506

level of significance==0.10

The test statistic

p value =0.014

we would reject the null hypothesis because

1. 
2. p-value <0.10

So we can conclude that At the 10% level of significance there is a significant difference between the average amount consumed at Brigham Young and the national average.

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