I need help. I am not sure if I am doing this correctly. Please provide work and explanation for each question.

1.

(11 pts)A hockey team is convinced that the coin used to determine the order of play is weighted. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted, and it shows up heads 12 times. Test this hypothesis (use alpha=.05).

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (2 pts) What does your decision mean?

2.

(11 pts)A hockey team is convinced that the coin used to determine the order of play is weighted for heads. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted for heads, and it shows up heads 12 times. Test this hypothesis (use alpha=.05).

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (2 pts) What does your decision mean?

3.

(11 pts)A hockey team is convinced that the coin used to determine the order of play is weighted for tails. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted for tails, and it shows up tails 11 times. Test this hypothesis (use alpha=.01).

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (2 pts) What does your decision mean?

4.

(11 pts)There are two statistics instructors who are both sought after by students in a local college. Let's call them instructor A and instructor B. The math department conducted a survey to find out who is more popular with the students. In surveying 17 students, the department found that 11 of the students prefer instructor B over instructor A. Using an alpha level of .05, test the hypothesis that instructor B is more popular.

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (2 pts) What does your decision mean?

5.

(11 pts)A farmer would like to evaluate Miracle Grow when used on his potted daisy plants. He sets up 20 plants in a room all facing the same window, obtaining the same amount of sunlight, and waters them identically each day. For a month, he monitors how much each plant grows. Then, he adds Miracle Grow to every pot and monitors how much each plant grows during a month with Miracle Grow. At the end of two months, he discovers that 16 plants grew more with Miracle Grow. Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01).

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (2 pts) What does your decision mean?

6.

(5 pts)What is a sampling distribution and why is it important for inferential statistics?

7.

(6 pts)Explain the difference between a distribution of individual scores and a distribution of means. (Hint: How are they generated/calculated, and what are their characteristics)?

8.

(12 pts)

a.If the average American sleeps 8 hours a night, with a standard deviation of 1 hour, and I plan on gathering a sample of 12 college students to compare to this population, find the following:

m=

s =

m x bar=

s x bar=

b.If people around the world own an average of 3 pets in their lifetimes, with a standard deviation of ,5 pets, and I want to test my 25 New Yorker friends to see if they differ from the population, find the following:

m=

s =

m x bar=

s x bar=

c.If Brooklyn College students have an IQ of 100, on average, with a standard deviation of 16 points, and I collect 48 BC Psychology students to see how Psych majors compare to all of BC, find the following:

m=

s =

m x bar=

s x bar=

9.

1.(11 pts)In the population, New Yorkers have an average of 2 pets in their homes, with a standard deviation of 1. I am interested in evaluating whether or not medical doctors differ from the population in regard to number of pets owned. Below is data from 9 doctors. Test this hypothesis using an alpha level of .01.

# of pets

0

1

0

0

1

3

2

1

1

a.(2pts) What is the appropriate test?

1. (1 pt) State the null hypothesis:
2. (1 pt) State the alternative hypothesis:
3. (2 pts)Find the critical value:
4. (2 pts)Calculate the obtained statistic:
5. (2 pts)Make a decision:
6. (1 pt) What does your decision mean?

10.

2.(11 pts)A doctor believes that the babies of smokers have lower birth weights than the average baby. It is well-known that the average newborn weights 7.4lbs, with a standard deviation of 1lb. The doctor collects data from 15 self-reported smokers who recently gave birth at a local hospital. He calculates their mean baby birth weight to be 6.2lbs. Test the hypothesis that babies of smokers have lower birth weights than the average newborn using an alpha level of .05.

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (1 pts) What does your decision mean?