##### I need help with this problem about an oceanographer

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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)

Nov 9th, 2015

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.

Nov 9th, 2015

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Nov 9th, 2015
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Nov 9th, 2015
Dec 8th, 2016
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