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In: Statistics and Probability

The acceptable level for insect filth in a certain food item is 2 insect fragments​ (larvae,...

The acceptable level for insect filth in a certain food item is 2 insect fragments​ (larvae, eggs, body​ parts, and so​ on) per 10 grams. A simple random sample of 40 ​ten-gram portions of the food item is obtained and results in a sample mean of x overbarequals2.7 insect fragments per​ ten-gram portion.

Complete parts ​(a) through ​(c) below. ​

(a) Why is the sampling distribution of x overbar approximately​ normal?

A. The sampling distribution of x overbar is approximately normal because the population is normally distributed. B. The sampling distribution of x overbar is approximately normal because the population is normally distributed and the sample size is large enough. C. The sampling distribution of x overbar is assumed to be approximately normal. D. The sampling distribution of x overbar is approximately normal because the sample size is large enough.

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Expert Solution

Option - D) The sampling distribution of is approximately normal because the sample size is large enough.

                                                         

                                                           

                      

                                                                                       

                                                                                                        

                                                      

                                                                                   

                                                

orchestra answered 2 years ago
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