Question

Is this don’t correctly? If not, please show correct work.

8. One goal of the ATFV treatment for vocal fold scar is to increase mean phonation time (MPT). The following data show preop and postop MPT values for 5 patients. Test whether the MPT for patients after surgery is greater than the MPT for patients before surgery using a 5% significance level, and find the p-value. ifindependent label what μ , and μ2 are. I these are dependent tell me how you are subtracting them, the irst sample is what and the second sample is what? Denenden Step 1: State the hypothesis, and identify the claim. Step 2: Compute the test value and find p-value. you indicate if your variances are equal or not. If you answered independent this is a two-part solution and Make sure t-test : 1.ly?ㄱ P-value 0.957 Step 3: Compare p-value to alpha. Make the decision to reject or not reject the null hypothesis. 0. 1511 0,05 fil to rget Summarize the results. State your conclusion clearly. There is not enough evdance to Svpport he uaim har r MPT rb( ()aments avtor surgery is greater tnan ttu H1PT Step 4:

Answer 1

Here data is given before surgery and after surgery. So this data is dependent data.

Claim : MTP for patients after surgery is greater than MTP for patients before surgery.

Let sample one sample of before surgery and sample two sample of after surgery.

d = Sample 2 - sample 1.

Step 1:

The hypothesis are

H0: $\mu _{d}$ = 0 v/s H1: $\mu _{d}$ > 0

Step 2.

The test statistic is,

$t=\frac{\overline{d}}{s_{d}/\sqrt{n}}$

preop	postop	d=postop -preop
10	17	7
7	5	-2
10.2	18	7.8
5	14	9
13.8	15	1.2

So we get : n = 5, $\overline{d}$ = 4.6, s_d = 4.76

Hence the test statistic is,

$t=\frac{4.6}{4.76/\sqrt{5}}$

= 2.161

Here df = n-1 = 5-1 = 4

p value = p ( t > 2.161 ) = 0.0484

( using excel formula " =t.dist.rt(2.161,4)" )

Step 3.

Here p value < $\alpha$ ( 0.05)

Hence we reject null hypothesis.

Step 4.

Conclusion :

There is sufficient evidence to conclude that  MTP for patients after surgery is greater than MTP for patients before surgery.