Question

Student What is your height in inches? What is your weight in pounds? What is your...

Student

What is your height in inches? What is your weight in pounds? What is your cumulative Grade Point Average (GPA) at FTCC or your primary college? How many hours do you sleep each night?
1 67 100 4 7
2 62 105 4 5
3 72 120 4 8
4 61 125 4 7
5 56 105 3.7 6
6 61 120 4 7
7 65 172 3.8 7
8 72 235 3.22 5
9 63 135 4 6
10 71 182 3.62 6
11 70 172 4 6
12 72 160 2.3 8
13 67 135 4 8
14 64 128 7
15 72 180 2.5 8
16 70 170 4 6
17 63 210 3.75 4
18 68 180 2.2 7
19 72 250 3.69 6
20 76 210 1.98 6
21 63 144 6
22 68 165 2.5 6
23 64 140 3.7 9
24 69 145 3 5
25 72 270 2.5 7
26 63 132 4 7
27 63 148 3.231 5
28 72 185 3.5 6
29 69 175 4 6
30 59 155 3.6 7
31 69 179 4 8
32 62 205 3.5 6
33 63.5 180 3.7 5
34 68 240 4 5
35 62 168 3.3 7
36 67 137 3.2 8
37 70 200 4 6
38 69 186 4 5
39 60 140 4 5
40 70 199 3.8 5
41 65 205 2.5 10
42 65 145 3.2 8
43 72 180 2.1 6
44 74 175 3.5 7
45 67 140 3.7 6
46 70 215 3 8
47 67 205 2.8 6
48 68 191 3.51 8
49 71 213 1.4 4
50 71 225 2.7 6
51 70 217 3.8 6
52 67.2 150 4 6
53 71 190 1.7 8
54 76 220 3.7 7
55 68 189 3.5 8

Part 2:

I have done some research online about the heights and have set up hypothesis for you to perform. You are to use the same sample data that you used above to test the hypothesis below that is about your data. Set up your hypothesis and then perform each step below labeling the values and explaining what you are doing.

Height:  Your instructor at FTCC claims that the students are short at this college. I did some research online and found that the average height of an adult human is 69 inches. At a significance level of 0.05, test the instructors claim that the mean height of students at this college is less than the average height of an adults in the US. (taken from Harvard Reports)

Hypothesis

A. State your claim.

B. State your Null Hypotheses.

C. State the Alternative Hypotheses.

D. Describe the two types of error possible in a hypothesis test decision.

E. Identify the type of test you are going to conduct.

F. Where are the rejection regions?

G. Calculate the test statistic and its corresponding standardized test statistics. Round to 3 decimal places.

H.Find the Critical values and rejection region(s)

I. Find the P-value. Round to 5 decimal places.

J. Interpret the decisions.

K. What is your decision concerning your Null Hypotheses?

L. Write a statement to interpret the decision in the context of the original claim.

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