the hypothesis test is a tailed test compute the p value R

_______________

_______________

-the hypothesis test is a _____________tailed test.

-compute the p value. Round the answer to four decimal places. p value = _______________

-Determine whether to reject H0

-State a conclusion

Recovering from surgery: A new postsurgical treatment was compared with a standard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Treatment:16 Control: 22.1-23-1-24 17 19 21 26 12 13 15 19 2021 22 24 25 Can you conclude that the mean recovery time for those receiving the new treatment is greater than the mean for those receiving the standard treatment? Let 1 denote the mean recovery time for the new treatment. Use the = 0.05 level of significance and the TI-84 calculator.

Solution

SOL)

NULL HYPOTHESIS: Mean recovery for those receiving a new treatment is equall to the mean for those receiving the standard time

ALTERNATIVE HYP: Mean recovery for those receiving a new treatment is greater than the mean for those receiving the standard time

b) The Hypothesis is right tailed(Mean recovery for those receiving a new treatment is greater than the mean for those receiving the standard time)

c) Test Statistic:

We use t test

Now using excel we get

p=0.11477

CONCLUSION:

Since alpha=0.05 and p value=0.11477

Here p > alpha at 5% level Hence we do not reject the null hypothesis

Hence we conclude that, Mean recovery for those receiving a new treatment is equall to the mean for those receiving the standard time