(c) What is the probability a simple random sample of 60 ten-gram portions of the food item results in a mean of at least 5.8 insect fragments?

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I just need assist with part (c)

The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams A simple random sample of 60
ten-gram portions of the food item is obtained and results in a sample mean of x = 5.8 insect fragments per ten-gram portion Complete parts (a) through (c) below.
(a) Why is the sampling distribution of x approximately normal?
A. The sampling distribution of x is
approximately normal because the population is normally distributed.
B. The sampling distribution of x is approximately normal because the sample size is large enough.
OC. The sampling distribution of x is assumed to be approximately normal.
OD. The sampling distribution of x is approximately normal because the population is normally distributed and the sample size is large enough.
(b) What is the mean and standard deviation of the sampling distribution of x assuming u=5 and o= √5?
H= 5 (Round to three decimal places as needed.)
= 289 (Round to three decimal places as needed)
(c) What is the probability a simple random sample of 60 ten-gram portions of the food item results in a mean of at least 5.8 insect fragments?
Transcribed Image Text:The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams A simple random sample of 60 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.8 insect fragments per ten-gram portion Complete parts (a) through (c) below. (a) Why is the sampling distribution of x approximately normal? A. The sampling distribution of x is approximately normal because the population is normally distributed. B. The sampling distribution of x is approximately normal because the sample size is large enough. OC. The sampling distribution of x is assumed to be approximately normal. OD. The sampling distribution of x is approximately normal because the population is normally distributed and the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of x assuming u=5 and o= √5? H= 5 (Round to three decimal places as needed.) = 289 (Round to three decimal places as needed) (c) What is the probability a simple random sample of 60 ten-gram portions of the food item results in a mean of at least 5.8 insect fragments?
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