Use Random number generator (under Data Analysis) to create two sets of data eac
ID: 3060783 • Letter: U
Question
Use Random number generator (under Data Analysis) to create two sets of data each 20 points long. Use the following parameters: number of variables (2), number of data point (20), Distribution (Normal), Mean (100), Standard Deviation (10), Random seed (1332). Perform t-test on these two data sets. And answer the questions for Assessment. (Pick the closest answer) 10. What is the range P-value? a. Larger than 5% b. Between 1% and 2% c. Between 0% and 1% d. None of these 11. What is the Statistical interpretation? a. The P-value is too large and we can conclude that the two averages are the same. b. The P-value is too small to have a conclusive answer. c. The P-value is too large to have a conclusive answer. d. None of the above. 12. What is the conclusion? a. Statistical interpretation agrees with the intuition: data are created with identical means and consequently we cannot conclusively claim that they have different averages. b. Statistical interpretation agrees with the intuition: data are created with identical means and we can conclusively claim that they have different averages. c. The P-value is large and statistics confirms that the data have identical averages. d. None of these
Explanation / Answer
we have used R software to generate random samples of 20 of 2 data sets, the samples are
sample1 sample2
1 117.68900 104.49569
2 107.39306 102.79757
3 102.58577 77.21382
4 82.34781 102.96171
5 106.78588 79.73292
6 80.71032 111.57861
7 118.93174 102.44560
8 95.25426 105.67686
9 104.65322 104.92692
10 111.11538 112.35465
11 101.58520 107.64172
12 95.83346 91.16902
13 105.67532 103.19294
14 108.27509 102.29650
15 99.84759 101.09474
16 92.82329 101.03259
17 99.97362 85.89512
18 76.18227 116.63808
19 98.60604 91.43692
20 114.06987 109.96320
we perform t-test using the data and the result is
Welch Two Sample t-test
data: sample1 and sample2
t = 0.0827, df = 37.662, p-value = 0.9345
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-6.799016 7.378315
sample estimates:
mean of x mean of y
101.0169 100.7273
10)
p-value=0.9345
so option d is correct as there is no matching options
11)since p-value=0.9345 is large significantly we can comment that the two mwans are same.
option a
12)
since data comes from same mean and same variance we can not make difference among them.
option a
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