Complete the math questions

•A simple random sample of months of sales data provided the following information:
Month:
1
2
3
4
5
Units Sold:
95
110
82
95
93
a. Develop a point estimate of the population mean number of units sold per month.
b. Develop a point estimate of the population standard deviation (to decimals).
•
Suppose a random sample of size is selected from a population with . Find the value of the
standard error of the mean in each of the following cases (use the finite population correction
factor if appropriate).
a. The population size is infinite (to decimals).
b. The population size is (to decimals).
c. The population size is (to decimals).
d. The population size is (to decimals).
•
According to the Current Results website, the state of California has a mean annual rainfall
of inches, whereas the state of New York has a mean annual rainfall of inches. Assume that
the standard deviation for both states is inches. A sample of years of rainfall for California
and a sample of years of rainfall for New York has been taken. Use z-table.
a. Show the probability distribution of the sample mean annual rainfall for California.
This is a normal probability distribution with and (to decimals).
b. What is the probability that the sample mean is within inch of the population mean for
California? (to decimals)
c. What is the probability that the sample mean is within inch of the population mean for New
York?(to decimals)
d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of
the population mean greater? Why?The probability of being within inch is greater – Select your
answer -for New York in part (c)for California in part (b)Item 5 because the sample size is – Select
your answer -largersmallerItem 6 .
•
The population proportion is . What is the probability that a sample proportion will be
within of the population proportion for each of the following sample sizes? Round your
answers to decimal places. Use z-table.
a. n=100
b. n=200
c. n=500
d. n=1000