1. Dana Corporation 210 273 251 316 350 241 238 341 Owen Corning 120 145 262 165
ID: 3180278 • Letter: 1
Question
1.
Dana Corporation 210 273 251 316 350 241 238 341
Owen Corning 120 145 262 165 237 149 171 265
1.1)Test whether the mean sale volume of Dana Corporation different from that of Owen Corning at 0.05 significance level.
1.2)Test at 0.05 significance level that the mean sale volume of Dana Corporation is higher than that of Owen Corning.
1.3)Test at 0.05 significance level that the mean sale volume of Dana Corporation is lower than that of Owen Corning.
1.4)Compare the answers in 1.1) to 1.3), what do you find?
1.5) Estimate the mean sale difference between the two companies at 95% confidence level.
Explanation / Answer
1.1)
Following is the output of two independent sample t test:
The p-value is 0.0065. Since p-value is less than 0.05 so we reject the null hypothesis.
That is we can conclude that the mean sale volume of Dana Corporation different from that of Owen Corning at 0.05 significance level.
1.2)
The p-value is 0.0032. Since p-value is less than 0.05 so we reject the null hypothesis.
That is we can conclude that the mean sale volume of Dana Corporation is higher than that of Owen Corning.
1.3)
The p-value is 0.9968. Since p-value is not less than 0.05 so we fail to reject the null hypothesis.
That is we cannot conclude that the mean sale volume of Dana Corporation is lower than that of Owen Corning.
1.4)
If we accept the left tailed alternative hypothesis then we must reject the rgiht tailed alternative hypothesis for same test. And alternative hypothesis of two tailed test is accepted.
1.5)
Following is the output of 95% confidence interval:
Lower limit: 29.405
Upper limit: 147.095
Hypothesis Test: Independent Groups (t-test, unequal variance) X1 X2 277.50 189.25 mean 52.02 56.83 std. dev. 8 8 n 13 df 88.250 difference (X1 - X2) 27.238 standard error of difference 0 hypothesized difference 3.24 t .0065 p-value (two-tailed)Related Questions
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