Utilize the appropriate t test to answer the following questions for each experi

Question

Utilize the appropriate t test to answer the following questions for each experiment described below. Does the measured data suggest that a significant difference exists between the means of the samples for a values to 0.05, 0.10 and 0.15. If not, identify which two sets of sample data have significant differences between their respective means for each value. (Sample One versus Sample Two at values-to 0.05, 0.10 and 0.15, Sample Two versus Sample Three at values = to 0.05, 0.10 and 0.15, etc.) For each comparison, identify the hypothesis you are testing and provide the probability of them being significantly different and the actual value of the test statistic that you chose to utilize for each of the three levels. Organize your results in a table for each experiment and attach to this sheet.

Explanation / Answer

t-Test: Two-Sample Assuming Unequal Variances

So, at alpha = 0.05, null is accepted. But at alpha = 0.1 and 0.15, null is rejected.

at alpha = 0.05, 0.1 and 0.15 null is accepted.

at alpha = 0.05, 0.1 and 0.15 , null is rejected.

So, we can say that day 1 and day 3 are significantly different.

t-Test: Two-Sample Assuming Unequal Variances

day1 day2 Mean 4.961538 5.184615 Variance 0.019231 0.148077 Observations 13 13 Hypothesized Mean Difference 0 df 15 t Stat -1.96638 P(T<=t) one-tail 0.03402 t Critical one-tail 1.75305 P(T<=t) two-tail 0.06804 t Critical two-tail 2.13145

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