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. Asimple random sample of40 tengram portions of the food item is obtained and results in a sample mean of x = 5.5 insect fragments per tengram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1): Click here to view the standard normal distribution table (rage2); (a) Why is the sampling distribution of )2 approximately normal? 0 A. The sampling distribution is approximately normal because the popluetion is normally distributed. 0 B. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. 0 C. The sampling distribution is assumed to be approximately normal. 0 D. The sampling distribution is approximately normal because the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of i assuming p = 5 and o = 4/3? Pi = (Round to three decimal places as needed.) (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 5.5 insect fragments? P6255) = (Round to four decimal places as needed.) Is this result unusual? O A. This result is unusual because its probability is large. 0 B. This result is not unusual because its probability is small. 0 C. This result is not unusual because its probability is large. 0 D. This result is unusual because its probability is small. What might we conclude? O A. Since this result is unusual, it is not reasonable to conclude that the population mean is higher than 5. O B. Since this result is not unusual, it is reasonable to conclude that the population mean is higher than 5. O C. Since this result is not unusual, it is not reasonable to conclude that the population mean is higher than 5. O D. Since this result is unusual, it is reasonable to conclude that the population mean is higher than 5