You are thinking of employing a t-procedure to test hypotheses about the mean of

Question

You are thinking of employing a t-procedure to test hypotheses about the mean of a population using a significance level of 0.05. Your histogram of an SRS shows a distribution which has a single peak but is moderately skewed. Which of the following statements is correct? Circle One. A) Because the population does not have a perfectly normal distribution, you should not use the t-procedure, B) If your sample size is large, say n = 50, you may use the t-procedures. C) If you use the t-procedure you can claim the significance level is only P = 0.10. D) You may not use the t-procedure, because t- procedures are robust to non-Normality for confidence intervals but not for tests of hypotheses. The average level of a particular pesticide found in the blubber of a sample of 8 whales is found to be 357, with a standard deviation s = 350. At what significance level does this data provide evidence that the mean level of the pesticide is NOT EQUAL to (or different than) 404? What is the t statistic and the corresponding significance value P?

Explanation / Answer

option B is correct

8) here std error =std devition/(n)1/2 =17.678

hence test stat t=(X-mean)/std error =(357-404)/17.678 =-2.6587

also p vlaue for above at 7 degree of freedom =0.0325

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