Missy Walters owns a mail-order business specializing in baby clothes. Missy is confident the dollar amounts of all her orders are normally distributed or nearly so. Assume she knows the mean and standard deviation are $249 and $46, respectively, for all orders she receives.
a. Describe the sampling distribution of 
, where 
is the mean dollar-amount of an order for a sample of 10 orders.
b. What is the probability that a simple random sample of 30 orders will provide an estimate of the population mean dollar-amount of an order that is within plus or minus $10 of the actual population mean?
c. What happens to the sampling distribution of 
when the sample size is increased from 30 to 90? With a sample size of 90, what is the probability that 
will be between $239 and $259?
Definitions:
Human Chorionic Gonadotropin
A hormone produced by the placenta after implantation, often measured in pregnancy tests.
Fetal Testes
The male reproductive organs in a fetus, responsible for producing testosterone, which is crucial for male sexual development.
Testosterone Synthesis
The process of producing testosterone, a steroid hormone responsible for the development of male secondary sexual characteristics, primarily in the testes and also in the adrenal glands.
FSH
Follicle-stimulating hormone (FSH) is a hormone essential for reproductive processes, including the growth of ovarian follicles in women and spermatogenesis in men.
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