Question

A study was conducted at California State University at Chico that compared the texting speed of right-handers and left-handers. The 64 right-handers tested had a mean texting speed of 181.25 characters per minute with a standard deviation of 17.33 characters per minute. The 31 left-handers tested had a mean texting speed of 184.74 characters per minute with a standard deviation of 16.46 characters per minute.

Do the results of this study provide sufficient sample evidence to indicate that there is a significant difference in the mean texting speed of right-handers and left-handers?

Answer 1

The test hypothesis is

This is a two-sided test because the alternative hypothesis is formulated to detect differences from the hypothesized difference in mean values on either side.
Now, the value of test static can be found out by following formula:

Degrees of freedom on the t-test statistic are n1 + n2 - 2 = 64 + 31 - 2 = 93
For . Since , we fail to reject the null hypothesis H0 at
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