25) The quality engineer at a pain n the manuéacturing was 1.02 allons. Assume t

Question

25) The quality engineer at a pain n the manuéacturing was 1.02 allons. Assume that Ho: . 1.02 gallons Ha 1.02 gallons T-Test # 1.02 -5.89255651 P 3.4248373E-7 n 50 Write a statement explaining what her decision regarding the null hypothesis should be and a paint cans had changed. Has the adjustment in the manufacturing process changed the average volume of paint cans? statement summarizing her condlusion regarding the claim that average wolume of 26) know if reaction time is affected by body type of the vehicle being driven. He measures the reaction time of 40 drivers while they drive a compact car then he measures the reaction time while they drive an SUV 26) State whether the situation has dependent or independent samples. A researcher wants to

Explanation / Answer

25) The p-value of the test is 3.42*10^(-7) which is very close to 0 indicating that the observed value of the test statistic is far away at the left-tail (as x-bar is less than mu_0 (null hypothesis mu)) of the distribution of the test statistics under null hypothesis.

So she should reject the null hypothesis at some given significance level say alpha = 0.05, i.e. the data have enough evidence to claim that the average volume of the painted cars have changed significantly after the adjustment in manufacturing at 5% significance level.

We can go for even lower significance level as our p-value is that small.

26) This is a dependent sample set up. We are measuring the reaction time for same 40 individuals under two different body of cars! So the observations for each individual is dependent as it is coming from the same individual.

Paired t-test is the way to test for this kind of hypothesis testing scenario.

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