Project #19021 - biostat 5F

  FINAL EXAM               MATH 577                 Name __________________

 

NOTE:  Complete the following take?home exam. You are not to discuss this exam with anyone other than the instructor, nor are you to receive help or assistance from anyone.  Show your work.  There is no time limit and you may use your books and your notes.

 

 

 

1.Form a 95% confidence interval on the difference in the means.  Assume population variances are equal.

 

       sample          A  B

 

       sample size    12     12

 

       sample mean    6550

 

       sample std dev  7 9

 

 

 

2.Perform a Mann?Whitney test to test for equal medians using

 

a significance level of 0.05.

 

SAMPLE 1SAMPLE 2

 

5272

 

7862

 

5691

 

9088

 

6590

 

 

 

3.Use the following data to determine whether the median is less than 48. Use the Wilcoxon signed rank test(significance level of 0.05).

 

OBS 47  46  40  40  46  35  34  59  54  33

 

 

 

4.Using a 5% level of significance, test whether the mean number of credits for students taking the CPA exam is greater than 140. Assume that a sample of 100 has a mean of 155 and a standard deviation(s) of 15.

 

 

 

5.      Use the data below to form a 95% confidence interval on the difference in the population means.

 

           Nmeanstd dev(s)

 

      Sample 1  1005270150

 

Sample 21005220100

 

 

 

6.Using a significance level of 0.05, test the claim that the proportion of toothpaste brands with ADA seal is less than 0.50.  Assume in a sample of 100, 45 have the ADA seal.

 

 

 

7.Forma a 95% confidence interval on the mean pouring temperature for iron castings if a sample of size 10 yielded a mean of 2560 and a standard deviation (s) of 20.

 

 

 

8.Given the results below, form a 95% confidence interval on the difference in the proportions.

 

     group       sample size        number of successes

 

      A                 500                  300

 

      B                 500                  250


 

 

 

 

9.  Using the following ANOVA and a significance level of 0.05, test whether the slope of the regression line is positive.

 

 

 

      The regression equation is

 

Y = 3.64 + 1.89 x

 

predictorcoefstdevt-ratio

 

constant3.6433.7650.97

 

X1.89320.28516.64

 

                          ANOVA

 

    source        df        ss           ms F

 

    regression     11285.71285.744.09

 

    error         13 379.129.16

 

    total          141664.8

 

 

 

10.Using the output in problem 9, form a 95% confidence interval on the slope.

 

 

 

11.   Calculate the slope and intercept.

 

x

y

xy

x2

y2

42

9

378

1764

81

48

10

480

2304

100

50

8

400

2500

64

59

5

295

3481

25

72

3

216

5184

9

271

35

1769

15233

279

 

 

 

12.In a sample of size 18, the sample correlation coefficient was found to be 0.6.  Test the hypothesis that the population correlation coefficient is greater than zero using a significance level of 0.05.

 

 

 

13.Given the following contingency table (using a significance level of 0.05), and assuming the value of the test statistic is 4.74, test for independence between illness & vaccination.

 

      MS      SSH

 

male 374144

 

female 357271

 

 

 

14.In a one?way ANOVA the following table is obtained:

 

        source           df         SS          MS     F

 

     factor  2 1200  600   6.00

 

     within(error)   24 2400  100

 

     total          26 3600

 

Test for equal factor means using a significance level of .05.

 

 

 

15.Using the following table:

 

        source           df         SS          MS     F

 

     regression  5 2000  400   4.00

 

     within(error)   15  1500  100

 

     total          20 4400

 

Test for model using a significance level of .05.

 

 

 

Subject Mathematics
Due By (Pacific Time) 12/10/2013 12:00 pm
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