Question

Statistics for Business Checkup #8 Name Due: Sunday, March 31 at 11:59 pm 1. The Food and Drug Administration sets Food Defect Action Levels (FDALs) for some of the various foreign substances that inevitably end up in the food we eat and liquids we drink. For example, the FDAL for insect filth in peanut butter is 3 insect fragments (larvae, eggs, body parts, and so on) per ten grams. A random sample of 50 ten-gram portions of peanut butter is obtained and results in a sample mean of $\bar{x} = 3.6$ insect fragments per ten-gram portion. (a)What is the mean and standard deviation of the sampling distribution $\bar{x}$ assuming that the population mean is $\mu = 3$ and the population standard deviation is $\sigma = 1.73$? (b) What is the probability that a sample of 50 ten-gram portions results in a sample mean of at least 3.6 insect fragments? Would you consider this result unusual? Explain your answer.

          Statistics for Business
Checkup #8
Name
Due: Sunday, March 31 at 11:59 pm
1. The Food and Drug Administration sets Food Defect Action Levels (FDALs) for some of the various
foreign substances that inevitably end up in the food we eat and liquids we drink. For example, the
FDAL for insect filth in peanut butter is 3 insect fragments (larvae, eggs, body parts, and so on) per ten
grams. A random sample of 50 ten-gram portions of peanut butter is obtained and results in a sample
mean of $\bar{x} = 3.6$ insect fragments per ten-gram portion.
(a)What is the mean and standard deviation of the sampling distribution $\bar{x}$ assuming that the
population mean is $\mu = 3$ and the population standard deviation is $\sigma = 1.73$?
(b) What is the probability that a sample of 50 ten-gram portions results in a sample mean of at least
3.6 insect fragments? Would you consider this result unusual? Explain your answer.

Statistics for Business
Checkup #8
Name
Due: Sunday, March 31 at 11:59 pm
1. The Food and Drug Administration sets Food Defect Action Levels (FDALs) for some of the various
foreign substances that inevitably end up in the food we eat and liquids we drink. For example, the
FDAL for insect filth in peanut butter is 3 insect fragments (larvae, eggs, body parts, and so on) per ten
grams. A random sample of 50 ten-gram portions of peanut butter is obtained and results in a sample
mean of x̅ = 3.6 insect fragments per ten-gram portion.
(a)What is the mean and standard deviation of the sampling distribution x̅ assuming that the
population mean is μ = 3 and the population standard deviation is σ = 1.73?
(b) What is the probability that a sample of 50 ten-gram portions results in a sample mean of at least
3.6 insect fragments? Would you consider this result unusual? Explain your answer.

Added by David C.

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