please show work so I can understand better

1.Richard's doctor had told him he needed to keep track of his blood sugar Listed below are his 20 latest readings. He wanted to form a visual aid for himself in order to see how his blood sugar was doing.

75, 125, 110, 82, 178, 209, 150, 130, 120,142, 90, 98, 107, 163, 135, 129, 147, 152, 110, 100

a. form a Frequency Distribution Table for the given data set.

b. form a Histogram for the data set.

c. Describe the distribution of the data.

2.Peter wanted to know how his small business was performing. He dealt exclusively in pecks of pickled peppers. Listed below are his sales for the previous year.

18,20,17,16,16,19,22,12,13,26,24,23

Find the following informationforPeter:

a.Mean

bMedian

c.Mode

d.Range

e.StandardDeviation

f.Findthe z-score when X=21

3.Post-secondary educationinformationwas examined for a random selection of states.The data below show the number of community colleges and the number of universities for each particular state.

Community

12

17

13

10

8

University

4

6

5

4

3

a.form a scatter plot of the given sets of data.

b.Find the correlation coefficient of the sets of data.

c.Create the equation of the regression line for the data and evaluate it when x=300.

4.On arecent trip to the doughnut store, I bought two dozen doughnuts. They were 8 vanilla, 7 chocolate, 3 strawberry, 6 glazed. If I was to choose one of these doughnuts randomly, what's the probability ofchoosing

a.Vanilla

b.Chocolate or Strawberry

c.Chocolate or Strawberry or Glazed

d.Anything other than Glazed

5.form a probability distribution table for the previous problem.

6.67% of Americansown a pet. If a random sample of 10 American households is selected, find the probability that exactly 4 own a pet.

7.The average amount of students who ride the bus each year in Wilton Iowa is 60 students. The standard deviation for this is 5 students. Find the probability that next year Wilton will have the following amounts of students riding the bus. Assume this is a normally distributed problem.

a.Less than 58 students

b.More than 62 students

c. Between50 and 60 students

8.You want to purchase ahouse.The average cost for a random sample of 10 houses in the local area is $110,000. Assume the population standard deviation is $2000. Find a 95% confidence interval for the cost to purchase a home in the local area.

9.According tothe Better Business Bureau, the average number of complaints a large corporation receives is 250 per year. Gevaert Inc. randomly chose 15 years they had been in business to discover the number of complaints they had received per year. They had a sample mean of 255, and the population standard deviation is known to be 10 complaints. At the .01 level of significance can it be concluded that the mean number of complaints for Gevaert Inc. is less than that of other companies?

10.A study was done on comparing the average earnings for college graduates from Iowa compared to the average earnings of college graduates from Illinois. Based on the results below, can it be concluded that there is a difference in the mean earnings for Iowa and Illinois graduates at a .05 level of significance?

Iowa 42,187, SD:7913, SS:40

Illinois 48,792, SD: 9812, SS:40

Sample Mean

$42187

$48792

Population Standard Deviation

$7913

$9812

Sample Size

40

40