Question

# StudentNO Gender Height in inchese 1 Female 63 2 Female 64.0 3 Male 67.0 4 Female...

 StudentNO Gender Height in inchese 1 Female 63 2 Female 64.0 3 Male 67.0 4 Female 59 5 Male 60 6 Female 61 7 Female 62 8 Female 63 9 Female 63 10 Female 64 11 Male 64 12 Female 65 13 Female 65 14 Female 65 15 Female 65 16 Female 66 17 Female 66 18 Male 67 19 Male 67 20 Male 67 21 Female 67 22 Male 67 23 Male 67 24 Female 67.5 25 Male 68 26 Female 68 27 Male 68 28 Male 68 29 Female 68 30 Female 68 31 Female 69 32 Female 69 33 Female 69 34 Male 69 35 Male 69 36 Male 69 37 Female 69 38 Male 69 39 Male 69 40 Female 60.0 41 Male 70 42 Male 70 43 Male 70 44 Female 70 45 Male 70 46 Male 70 47 Male 70 48 Female 70 49 Female 70 50 Male 70 51 Male 70 52 Male 70 53 Male 71 54 Male 71 55 Male 71 56 Male 71 57 Male 71 58 Male 71 59 Male 71 60 Male 71 61 Male 72 62 Male 72 63 Male 72 64 Male 72 65 Male 72 66 Male 72 67 Male 73 68 Male 73 69 Male 73 70 Male 73 71 Male 73 72 Male 73 73 Male 74 74 Male 74 75 Male 75 76 Male 75 77 Male 75 78 Male 75 79 Male 75 80 Male 76 81 Male 76 82 Male 78 83 Male 78

Data collected to understand the height differences between male and female college students at University of Cincinnati. While it is impossible to have a population data, a sample data was collected from ENED3066 summer 2020. The data is available through: data above.

Use the collected data, run appropriate hypothesis testing to predict the height information for male and female students at UC.

1: If we assume the variances of the height for both male and female students are unknow, what is the degree of freedom for the hypothesis test assuming unequal variance?

2: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is there is differences. Assuming equal variances, what is the test static value, t value? keep two numbers after decimal points

3: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is there is differences. Given α=0.05, should you reject the null hypothesis?

4: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is the height of the male students is greater than the female students. Given α=0.05, what is t critical value of the test assuming equal variance? keep two decimal spaces

5: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is the height of the male students is greater than the female students. Given α=0.05, what is Z critical value of the test assuming normality? keep two decimal spaces

1. df = 53

2. t = 6.82

3. Yes, p-value = 0.0000

4. t-crit = 1.66

5. z-crit = 1.64

 Female Male 63 67 64 60 59 64 61 67 62 67 63 67 63 67 64 67 65 68 65 68 65 68 65 69 66 69 66 69 67 69 67.5 69 68 70 68 70 68 70 69 70 69 70 69 70 69 70 60 70 70 70 70 71 70 71 71 71 71 71 71 71 72 72 72 72 72 72 73 73 73 73 73 73 74 74 75 75 75 75 75 76 76 78 78

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