Answer the following (results to three decimal places) A national catering company found that 25% of the people who tried their food said it was delicious. A random sample of 18 people is obtained from a population of 5000. The 18 people are asked to sample the catering service. Describe the sampling distribution of the proportion of the sample that says the food is delicious. A. What is the shape of this sampling distribution? Approximately normal If it complies write 1, if it does not comply write 0. b. What is the mean of this sampling distribution? C. What is the standard deviation of this sampling distribution?
Added by Angela R.
Step 1
Given that n = 18, p = 0.25, and 1 - p = 0.75, we calculate n*p*(1-p) = 18*0.25*0.75 = 3.375. Since 3.375 is less than 10, the sampling distribution is not approximately normal. Therefore, the shape of the sampling distribution is not approximately normal. Show more…
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