1. Of 1,496 randomly selected UIW SPS military affiliated students, 539 are Air Force, 571 are Army, 5 are Coast Guard, 35 are Marine Corp, 183 are Navy, 162 have no branch listed, and 1 has more than one military coding. The students were then listed as preferred major according to branch of service. We have determined that around 384 Army students prefer a Bachelor of Science in Business Administration degree. UIW wants to know the population proportion of Army students who prefer a Bachelor of Science in Business Administration.

a. What is x =

b. What is n =

c. What is p’ =

d. Define the random variable X in words.

e. Define the random variable P’ in words.

f. Which distribution will you use for this problem?

g. State the distribution

h. Construct a 90% confidence interval for the population proportion.i. Calculate the error bound.

j. Sketch the graph (manually or electronically)

2. Health experts claim that it takes around 14 days for a person to show symptoms of COVID-19 after exposure and a standard deviation of 2 days. A survey was presented to 30 people who have been sick of COVID-19, and the mean number of days after exposure was 15 days with a standard deviation of 3 days. Using alpha = 0.05, is the data highly consistent with the claim?

a. What is Ho?

b. What is Ha?

c. State the distribution to use for the test

d. Is this a right-tailed, left-tailed or two-tailed test?

e. What is the test statistic?

f. What is the p-value?

g. What is your decision?

h. Reason for decision:

i. Conclusion:

j. Calculate the confidence interval:

3. You are given the table below. A nutritionist believes that patients with thyroid problem gain more weight by eating carbs than calories. 30 patients have been tested. The distribution is known to be normal. Test at the 2% level of significance.

Sample Mean

Pop Stand Deviation

Carbs

20

9

Calories

25

11

a. What is Ho?

b. What is Ha?

c. Is this a right-tailed, a left-tailed or a two-tailed test?

d. What is the test statistic?

e. What is the p-value?

f. What is alpha?

g. What is your decision?

h. Reason for decision:

i. Conclusion:

j. Calculate the confidence interval

4. I have reviewed the midterm grades for this term, and I am trying to predict how well the Summer I class will do in the final exam. The frequency values are your actual grades:

Grade

Frequency (Observed)

Expected

Greater than A

5

3

A

10

8

B

5

8

C

1

2

F

1

1

a. What is the degrees of freedom?

b. State Ho and Ha

c. What is the chi square (χ2) test statistic?

d. What is the p-value?

e. At the 5% significance level, what is your decision and the reason for the decision?

f. What is the conclusion?

5. You are given the following table.

X

Y

1,000

500

3,000

400

7,000

750

12,000

1,000

15,500

1,200

17,000

1,000

17,500

1,800

21,000

2000

22,800

2,200

23,000

3,000

a. Decide which variable should be the independent variable and which should be the dependent variable.

b. Draw a scatter plot of the data.

c. Does it appear from inspection that there is a relationship between the variables? Why or why not?

d. Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx.e. Find the correlation coefficient. Is it significant?

f. Find estimated total values for column Y for 16,000, 24,000, and 36,00016,000=24,000=36,000=

g. Does it appear that a line is the best way to fit the data? Why or why not?

h. Are there any outliers in the data?

i. Based on these results, what would be the probate fees and taxes for an estate that does not have any assets?

j. What is the slope of the least-squares (best-fit) line? Interpret the slope.

Need answers and explanation of how answers were calculated.

1. Of 1,496 randomly selected UIW SPS military affiliated students, 539 are Air Force, 571 are Army, 5

are Coast Guard, 35 are Marine Corp, 183 are Navy, 162 have no branch listed, and 1 has

more than one

military coding. The students were then listed as preferred major according to branch of service. We

have determined that around 384 Army students prefer a Bachelor of Science in Business Administration

degree. UIW wants to know the populatio

n proportion of Army students who prefer a Bachelor of

Science in Business Administration.

a. What is x =

b. What is n =

c. What is p’ =

d. Define the random variable X in words.

e. Define the random variable P’ in words.

f. Which distribution will you use

for this problem?

g. State the distribution

h. Construct a 90% confidence interval for the population proportion.i. Calculate the error bound.

j. Sketch the graph (manually or electronically)

2. Health experts claim that it takes around 14 days for a pe

rson to show symptoms of COVID

–

19 after

exposure and a standard deviation of 2 days. A survey was presented to 30 people who have been sick

of COVID

–

19, and the mean number of days after exposure was 15 days with a standard deviation of 3

days. Using alpha

= 0.05, is the data highly consistent with the claim?

a. What is Ho?

b. What is Ha?

c. State the distribution to use for the test

d. Is this a right

–

tailed, left

–

tailed or two

–

tailed test?

e. What is the test statistic?

f. What is the p

–

value?

g. What is

your decision?

h. Reason for decision:

i. Conclusion:

Need answers and explanation of how answers were calculated.

1. Of 1,496 randomly selected UIW SPS military affiliated students, 539 are Air Force, 571 are Army, 5 are Coast Guard, 35 are Marine Corp, 183 are Navy, 162 have no branch listed, and 1 has more than one military coding. The students were then listed as preferred major according to branch of service. We have determined that around 384 Army students prefer a Bachelor of Science in Business Administration degree. UIW wants to know the population proportion of Army students who prefer a Bachelor of Science in Business Administration.

a. What is x =

b. What is n =

c. What is p’ =

d. Define the random variable X in words.

e. Define the random variable P’ in words.

f. Which distribution will you use for this problem?

g. State the distribution

h. Construct a 90% confidence interval for the population proportion.i. Calculate the error bound.

j. Sketch the graph (manually or electronically)

2. Health experts claim that it takes around 14 days for a person to show symptoms of COVID-19 after exposure and a standard deviation of 2 days. A survey was presented to 30 people who have been sick of COVID-19, and the mean number of days after exposure was 15 days with a standard deviation of 3 days. Using alpha = 0.05, is the data highly consistent with the claim?

a. What is Ho?

b. What is Ha?

c. State the distribution to use for the test

d. Is this a right-tailed, left-tailed or two-tailed test?

e. What is the test statistic?

f. What is the p-value?

g. What is your decision?

h. Reason for decision:

i. Conclusion:

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