I need help with this problem about an oceanographer

timer Asked: Nov 9th, 2015
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Question Description

1.     An oceanographer wants to test, on the basis of a random sample size of 20, whether the average depth of the ocean in certain areas is greater than 75 fathoms. A the .10 level of significance, what will the oceanographer decide if she observes a sample mean of 75.5? Assume that the population standard deviation is 1.75. (Also, compute the p-value)

Tutor Answer

School: University of Maryland

Thank you for the opportunity to help you with your question!

We have

Null Hypothesis:u=75 fathom

Alternative Hypothesis:u>75 fathom

Given mean,m=75.5

Standard deviation,d =1.75

Sample size,n=20

Calculating the test statistic:

The degree of freedom =20-1=19,

The critical value corresponding to .1 significance level is 3.8834

The p value corresponding to t=1.278 and degree of freedom is ..1083

As the p value is greater than the significance level therefore we accept the null hypothesis and accept that the average depth in the certain ocean is not  greater than 75 fathom.

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Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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