# Question

Refer to Exercise 59 (Google vs. Bing). Suppose the sample size was 12 rather than 100 for both sample groups. Reconstruct the hypothesis test and report your conclusion. What additional population assumptions did you make in this small sample case?

In exercise

In a study evaluating search engines, TechDay. com randomly selected 200 Internet users. One hundred of the users selected were given the task of finding a specific piece of information using Google. The other 100 were given the task of finding the same specific piece of information using Bing. Those using Google took an average of 79.3 seconds to find the information, with a standard deviation of 19.2 seconds. For those using Bing, the average time was 88.4 seconds, with a standard deviation of 23.2 seconds. Is this sufficient sample evidence to make the case that the average time for (the population of) Google users to find the information would be shorter than the average time for (the population of) Bing users? Use a 5% significance level. According to your test, can you report that the sample mean difference is statistically significant at the 5% significance level?

In exercise

In a study evaluating search engines, TechDay. com randomly selected 200 Internet users. One hundred of the users selected were given the task of finding a specific piece of information using Google. The other 100 were given the task of finding the same specific piece of information using Bing. Those using Google took an average of 79.3 seconds to find the information, with a standard deviation of 19.2 seconds. For those using Bing, the average time was 88.4 seconds, with a standard deviation of 23.2 seconds. Is this sufficient sample evidence to make the case that the average time for (the population of) Google users to find the information would be shorter than the average time for (the population of) Bing users? Use a 5% significance level. According to your test, can you report that the sample mean difference is statistically significant at the 5% significance level?

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