Question

Which of the following correctly interprets p-value? The p-value is the probability that the test statistic will take on a value at least as extreme as the observed test statistic, assuming the null hypothesis is true. The p-value is the probability that the test statistic will take on a value at least as extreme as the observed test statistic, assuming the alternative hypothesis is true. The p-value is the probability that the null hypothesis is true. Two brands of flares (Brand 1 and Brand 2) are tested for their burning times (in minutes) and the sample results follow: Descriptive Statistics: Sample 1: Mean = 40, StDev = 140, SEMean = 0.24 Sample 2: Mean = 15.100, StDev = 0.800, SEMean = 0.13 Test: Null hypothesis H0: Î¼1 = Î¼2 Alternative hypothesis H1: Î¼1 â‰ Î¼2 t-Value: 16.59 p-Value: 0.000 Refer to the sample results to test the claim that the two populations have unequal means using a 5% significance level. What is the correct conclusion? Since the p-value is approximately 0, we reject the null hypothesis and conclude that the true mean burning time for Brand 1 flares differs from that of Brand 2 flares. The data indicate that the Brand 1 flares have a longer burning time, on average, compared to the Brand 2 flares.

          Which of the following correctly interprets p-value? The p-value is the probability that the test statistic will take on a value at least as extreme as the observed test statistic, assuming the null hypothesis is true. The p-value is the probability that the test statistic will take on a value at least as extreme as the observed test statistic, assuming the alternative hypothesis is true. The p-value is the probability that the null hypothesis is true.

Two brands of flares (Brand 1 and Brand 2) are tested for their burning times (in minutes) and the sample results follow:

Descriptive Statistics:
Sample 1: Mean = 40, StDev = 140, SEMean = 0.24
Sample 2: Mean = 15.100, StDev = 0.800, SEMean = 0.13

Test:
Null hypothesis H0: Î¼1 = Î¼2
Alternative hypothesis H1: Î¼1 â‰  Î¼2
t-Value: 16.59
p-Value: 0.000

Refer to the sample results to test the claim that the two populations have unequal means using a 5% significance level. What is the correct conclusion?

Since the p-value is approximately 0, we reject the null hypothesis and conclude that the true mean burning time for Brand 1 flares differs from that of Brand 2 flares. The data indicate that the Brand 1 flares have a longer burning time, on average, compared to the Brand 2 flares.

Added by Robert K.

Question

Please give Ace some feedback