Question

PRINTS TO P a Peane out the tolowing form When fnished, dick Submit Form to netun the completed form. You can save data typed into Highlight Existing Fields ubmit form For the next four questions (questions 7-10) what is/are the critical value(s) 7. Ho : ,12150 , n-30 and α 0.01 10. H. :us150 . n-24 and α . 005 Bonus Question: What is/are the critical value(s) H, : σ 15, n-10 and α . 0 01 (Critical values are found in Table 5) ThinkCentre

Answer 1

Critical values: for all of the above we will use tn-1 scores since n is small

7. This is one sided test, so critical value is at t 0.01,29 = 2.462

8. Again one sided, so t0.05, 8 = 1.86

9. This is two sided, so t0.005,34= 2.728

10. This is one sided, so t0.05,23= 1.714

11. For this one sided test, critical values are found from the chi square table, 2.088 and 21.67

Testing the claim about mean:

Test statistic: 32-30/5/√25 = 2

This is a one sided test, so critical value is at t0.05,24 = 1.711

Null hypothesis: H0: u<= 30

Alternative hypothesis is Ha: u>30

Since our test statistic is greater than the critical value we have sufficient evidence to reject the null hypothesis.

Confidence intervals:

1. Here since population standard deviation is unknown, t score will be used,

So 95% confidence interval for u is given as:

100 +- t0.025,24*5/√25

= 100+- 2.064

= (97.936, 102.064)

2. 90% confidence interval for p is given as:

X/n +- 1.645*√(x/n)(1-x/n)/n

= 0.4 +- 1.645*√0.4*0.6/100

= (0.3194, 0.4806)

3. 95% confidence interval for sigma is given as,

√(n-1)*s^2/39.36 , √(n-1)*s^2/12.4

= (1.562, 2.782)