Question

reconsider dr Sameers research question about how much time cal poly students spend watching tv, and recall that for random sample of 100 cal poly students number of hours per day spemt watching tv the mean and SD tunred out to be 3.01 hours and 1.97 hours respectively. a. in the context of thios study, is the theory based approach (one sample t-test) valid to find a p value to investigate whether the data provide evidence that the average number of hours per day cal ply students spend watching TV is different from 2.75 hours? explain b) regardless of your answer in (a) use the theroy based inference aplet to conduct a one sample t test to find and report a standarnized statistic and a p value for dr sameers hypothesis c) state your conclusion from this study based on the p value reported in b being sure to rpovide justification for your conclusion

Answer 1

Let denotes the average number of hours per day cal ply students spend watching TV.

To test against

Here

sample mean

sample standard deviation

and sample size

The test statistic can be written as

which under H₀ follows a t distribution with n-1 df.

We reject H₀ at 5% level of significance if p-value < 0.05

Now,

The value of the test statistic

and p-value =

Since p-value > 0.05, so we fail to reject H₀ at 5% level of significance and we can conclude that the average number of hours per day cal ply students spend watching TV is not different from 2.75 hours.

One should apply one sample t test because in time of testing the population mean, population standard deviation is not known.