Question

Recent recommendations suggest 50 minutes of physical activity per day. A sample of 30 adults in a study of cardiovascular risk factors report exercising a mean of 54 minutes per day with a standard deviation of 19 minutes. Based on the sample data, is the physical activity significantly different than recommended? Run the appropriate test at a 5% level of significance. What types of statistical testing should the researcher conduct?

Answer 1

The test hypothesis is

This is a two-sided test because the alternative hypothesis is formulated to detect differences from the hypothesized mean value of 30 on either side.

Now, the value of test static can be found out by following formula:

Since t0 = 1.1531 < -2.045229642132703 = -t{0.025}, we fail to reject the null hypothesis

No, the physical activity significantly different than recommended