Question

A student wants to compare the mean times needed to access flight information for two major airlines. 20 randomly selected students accessed one airline's Web site, and the time required to locate the flight information had a mean of 2.5 minutes and a standard deviation of 0.8 minute. 20 different randomly selected students accessed the other airline's Website, and the time required to locate the flight information on that site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p-value is true?A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two WebsitesB. The p-value is greater than 0.01 but less than 0.05; therefore, there is a significant difference in mean search times on the two WebsitesC. The p-value is greater than 0.05 but less than 0.10; therefore, there is a significant difference in mean search times on the two WebsitesD. The p-value is greater than 0.10; therefore, there is no significant difference in mean search times on the two WebsitesE. Since this is a matched-pairs situation, additional information is needed to perform a test of significance.

Answer 1

The p-value is greater than 0.05 but less than 0.10; therefore, there is a significant difference in mean search times on the two Websites.

Step-by-step explanation:

The question asks about the p-value in a hypothesis test comparing the mean times needed to access flight information for two major airlines. The p-value is a measure of the strength of evidence against the null hypothesis. In this case, the null hypothesis would be that there is no difference in mean search times on the two websites.

Based on the given information, we do not know the exact p-value. However, the answer choices provide ranges for the p-value. Since the p-value is often compared to a significance level (such as 0.05) to make a decision about rejecting or not rejecting the null hypothesis, we can determine the correct statement by comparing the given ranges to the significance level. In this case, the correct statement is C. The p-value is greater than 0.05 but less than 0.10; therefore, there is a significant difference in mean search times on the two Websites.

Answer 2

The statement which can be true about the p-value is;

A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites

Step-by-step explanation:

Whereby the p-value is less than the significance level or pre-defined number we reject the null hypothesis that there is no difference in the mean time it takes to access the Websites of the two major airlines

Where the p-value is larger than the significant level, we fail to reject the null hypothesis and therefore, there is not enough evidence to indicate that the mean time to access the Websites of the two major airlines are different

The p-value is compared with a given level for the test, for it to be assed

The option that has the correct inference based on only one significant level or predefined is the p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites