1. Find margin of error and critical values (t-a/2) for sample of 9 objects with mean 30 and standard deviation 5. . Use 99% confidence interval.

2. Find margin of error and confidence interval for the population mean µ if sample of 5 objects is given: 7, 9, 4, 6, 4. Use 95% confidence interval.

(Use t-distribution. You need to find average value for sample and sample standard deviation SD)

3. Find 90% confidence interval estimate for the variance - σ² for sample of 12 objects. Given sample variance SD² = 1.21

P (χ²-left < χ² < χ²-right) =1-α ; (n-1)*SD²/(χ²- right)< σ² < (n-1)* SD²/(χ²- left)

4. Given a data set of 49 scores, where the mean was 40 and SD = 3, test the claim that the mean score is equal to 41

a. at the 0.05 significance level

b. at the 0.10 significance level

c. at the 1% significance level

5. Company claims that weight of the object is 10 lb. Controller checked 64 objects and found that mean weight was 9.3 lb and standard deviation 3 lb. Test the claim at

a. 10% significance level.

b. 1% significance level.

6. With n =5 and p=.3, find P (at least 4) (binomial distribution)

7. With n =20 and p=.4, find P (at most 8) (use normal approximation with continuity correction)

Subject | Mathematics |

Due By (Pacific Time) | 05/22/2013 12:23 am |

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