Assume that the two samples are independent simple random samples selected from

Question

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant? difference, does that difference have practical? significance

Identify T statistic

What is P value

construct confidence interval

124.3

Day Home (volts) Generator (volts) 1 123.2 124.9 2 123.2 124 3 124 125.4 4 123.2 124.9 5 123.3 124.7 6 123.6 124.6 7 123.7 124.9 8 123.7 124.1 9 123.7 124.6 10 123.5 124.3 11 123.8 124.4 12 123.8 125.1 13 123.9 124.9 14 123.3 124.6 15 123.2 124 16 123.8 124.7 17 124.2 124.3 18 123.9 124.3 19 123.3 124.1 20 123.8 124.4 21 123.5 124.5 22 123.1 124 23 123.6 124.6 24 123.3 124.8 25 123.9 124.8 26 123.4 124.3 27 123.4 124.4 28 123.7 124.5 29 123.1 124.8 30 123.3 124.2 31 123.8 124.4 32 123.2 124.6 33 123.5 124.1 34 123.4 124.4 35 123.5 124.1 36 123.2 124.3 37 123.5 124.4 38 123.5 124.7 39 123.6 124.3 40 123.1

124.3

Explanation / Answer

T=-14.3861

P=

P=0.0000

P<0.05

Rejcet null hypothesis.

there is a statistically significant? difference in means

t-Test: Two-Sample Assuming Unequal Variances Home (volts) Generator (volts) Mean 123.5175 124.4925 Variance 0.079429 0.104301 Observations 40 40 Hypothesized Mean Difference 0 df 77 t Stat -14.3861 P(T<=t) one-tail 7.99E-24 t Critical one-tail 1.664885 P(T<=t) two-tail 1.6E-23 t Critical two-tail 1.991254

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