I need help with this problem about an oceanographer

Anonymous
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

ipesuni
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.

Please rate my answer so that I can help you further in the future.

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Review

Anonymous
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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