Question

Q2. Using the descriptive statistics provided (Appendix 1), calculate the test statistic ($t^$) for testing the null hypothesis, $H_0: \mu = 60$. a) $t^(NY)$ b) $t^(NJ)$ (Appendix 1) NY NJ CT Mean 60.93 64.27 61.60 Standard Error 3.79 3.58 3.65 Median 61.00 67.00 61.00 Mode 67.00 78.00 61.00 Standard Deviation 14.68 13.85 14.15 c) $t^(CT)$ Sample Variance 215.50 191.78 200.11 Kurtosis 1.60 -1.22 2.71 Skewness 0.78 -0.31 0.27 Range 60 42 65 Minimum 37 41 30 Maximum 97 83 95 Count 15 15 15

          Q2. Using the descriptive statistics provided (Appendix 1), calculate the test statistic ($t^*$) for
testing the null hypothesis, $H_0: \mu = 60$.
a) $t^*(NY)$
b) $t^*(NJ)$
(Appendix 1)
NY
NJ
CT
Mean
60.93
64.27
61.60
Standard Error
3.79
3.58
3.65
Median
61.00
67.00
61.00
Mode
67.00
78.00
61.00
Standard Deviation
14.68
13.85
14.15
c) $t^*(CT)$
Sample Variance
215.50
191.78
200.11
Kurtosis
1.60
-1.22
2.71
Skewness
0.78
-0.31
0.27
Range
60
42
65
Minimum
37
41
30
Maximum
97
83
95
Count
15
15
15

Q2. Using the descriptive statistics provided (Appendix 1), calculate the test statistic (t^*) for
testing the null hypothesis, H0: μ = 60.
a) t^*(NY)
b) t^*(NJ)
(Appendix 1)
NY
NJ
CT
Mean
60.93
64.27
61.60
Standard Error
3.79
3.58
3.65
Median
61.00
67.00
61.00
Mode
67.00
78.00
61.00
Standard Deviation
14.68
13.85
14.15
c) t^*(CT)
Sample Variance
215.50
191.78
200.11
Kurtosis
1.60
-1.22
2.71
Skewness
0.78
-0.31
0.27
Range
60
42
65
Minimum
37
41
30
Maximum
97
83
95
Count
15
15
15

Added by Michael W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Rosina Dapaah

03/25/2022

Step 1

Step 1: The formula for the t-statistic is: $$t = \frac{\bar{x} - \mu_0}{s/\sqrt{n}}$$ where: * $\bar{x}$ is the sample mean * $\mu_0$ is the hypothesized population mean * s is the sample standard deviation * n is the sample size Show more…

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Q2. Using the descriptive statistics provided (Appendix 1), calculate the test statistic (t*) for testing the null hypothesis, Hο: μ = 60. a) t*(NY) b) t*(NJ) (Appendix 1) NY NJ CT Mean 60.93 64.27 61.60 Standard Error 3.79 3.58 3.65 Median 61.00 67.00 61.00 Mode 67.00 78.00 61.00 Standard Deviation 14.68 13.85 14.15 c) t*(CT) Sample Variance 215.50 191.78 200.11 Kurtosis 1.60 -1.22 2.71 Skewness 0.78 -0.31 0.27 Range 60 42 65 Minimum 37 41 30 Maximum 97 83 95 Count 15 15 15