Please include calculations for the following:

Use your t-distribution table to complete this assignment.

Complete the table:

	df	Test Type	Significance Level	t*
A	5	One-Tail	99%
B	13	Two-Tail		2.16
C	19	One-Tail		1.33
D	28	Two-Tail	99%
E	40	One-Tail		1.68
F	46	Two-Tail		1.68
G	60	One-Tail		2.39
H	100	Two-Tail	95%
I	500	One-Tail	90%
J	3000	Two-Tail	80%

Read the following situations carefully.

2) Biologists studied 18 newts to determine the healing time of skin wounds. The scientists want to conduct a 95% confidence interval of the mean healing time for all newts. What t* should they use?

3) The composition of the earth's atmosphere may have changed over time. To discover the nature of the atmosphere long ago, scientists can examine the bubbles inside ancient amber. Since amber is a tree resin that has hardened and been trapped in rocks, the gas bubbles within the amber should be a sample of the atmosphere at the time the amber was formed. Measurements on nine specimens were taken. Scientists want a confidence interval of 90% to estimate the mean percent of nitrogen in ancient air. What t* should they use?

4) Cola makers test new recipes for the loss of sweetness during storage. Thirty trained tasters rated the sweetness before and after storage and rated their perception of sweetness loss. They want to test at = 0.5. What is the t-value of the boundary?

5) The alcohol content of wine depends on the grape variety, the way in which the wine is produced from the grapes, the weather, and other factors. In one given year, 100 wine makers, who grew the same variety of grapes measured the alcohol content of their wine. If you wanted to have 95% confidence in the alcohol content of this variety of grapes, what t* would you use?

To work as a flight attendant for United Airlines, you must be between 5'2" and 6' tall. (source:www.ual.com). The height of 20- to 29-year-old males has a mean of 70.4" and a standard deviation of 3". The height of 20- to 29-year-old females has a mean of 65.1" and a standard deviation of 2.6". A random sample of 500 20- to 29-year-old people from the Midwest and 350 20- to 29-year-old people from the Northeast found that 82 from the Midwest and 65 from the Northeast did not meet the height requirement to work as a flight attendant.

How large, if any, is the difference between the proportion of people from the Midwest States and those in the Northeastern states who are eligible to work as United Airlines flight attendants.

Please include calculations and steps for the following

6. The sample percentage difference between the Midwest and Northeast is 0.0217 with a standard error of 0.0265. Calculate the confidence interval with 95% confidence.

7. Explain/justify your conclusions about the hypotheses:

A study of 66,831 dairy cows found that the mean milk yield was 12.5 kg per milking with a standard deviation of 4.3 kg per milking (data from Berry, et al., 2013). Construct a 95% confidence interval for the average milk yield in the population. Berry, D. P., Coyne, J., Boughlan, B., Burke, M., McCarthy, J., Enright, B., Cromie, A. R., McParland, S. (2013). Genetics of milking characteristics in dairy cows. Animal, 7(11), 1750-1758.

8. Compute the standard error

9. Compute df

10. Find the multiplier: t^*

11. Determine the confidence level

12. Write your conclusion.