Math & SPSS homework help

For questions that require calculations, all calculations should be shown, not just the final answer. For questions that require an answer using SPSS, the Variable View, Data View, and Output Panel screens should be copied and pasted to your exam.

Answer all questions on the exam thoroughly. Create a Microsoft Word document, including the question number, the question, your typed answer, and SPSS screens if required. You may use Word’s equation editor to complete your answers.

1) A newspaper article about the results of a poll states: “In theory, the results of such a poll, in 99 cases out of 100 sho uld differ by no more than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States.” Find the sample size suggested by this statement.

2) A savings and loan association needs information concerning the checking account balances of its local customers. A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a standard deviation of $297.29. Using SPSS, find a 98% confidence interval for the true mean checking account balance for local customers.

image10.jpg3) Test the claim that for the adult population of one town, the mean annual salary is given by image1.jpg Sample data are summarized as and image2.jpg Use a significance level of image3.jpg

image11.jpg4) Use the P-value method to test the claim that the population standard deviation of the systolic blood pressures of

adults aged 40-50 is equal to image4.jpg The sample statistics are as follows: Be sure to state the hypotheses, the value of this test statistic, the P-value, and your conclusion. Use a significance level of


5) The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer. The levels, in ppm, are shown below.

0.31 0.47 0.19 0.72 0.56

0.91 0.29 0.83 0.49 0.28

0.31 0.46 0.25 0.34 0.17

0.58 0.19 0.26 0.47 0.81

Do the data provide sufficient evidence to support the claim that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm? Use a 0.05 significance level to test the claim that these sample levels come from a population with a mean greater than 0.4 ppm. Use the P-value method of testing hypotheses. Assume that the standard deviation of levels of the chemical in all such tomatoes is 0.21 ppm.

6) A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.

7) The confidence interval, 3.56 < σ < 5.16, for the population standard deviation is based on the following sample

statistics: n = 41, image5.png = 30.8, and s = 4.2. What is the degree of confidence?

8) A random sample of 16 women resulted in blood pressure levels with a standard deviation of image6.jpg A random sample of 17 men resulted in blood pressure levels with a standard deviation of image7.jpg Using SPSS and a 0.05 significance level, test the claim that blood pressure levels for women vary more than blood pressure levels for men.

9) The following data shows annual income, in thousands of dollars, categorized according to the two factors of gender and level of education. Assume that incomes are not affected by an interaction between gender and level of education, and test the null hypothesis that gender has no effect on income. Use a 0.05 significance level.


image12.jpg image13.jpg image14.jpg10) At the 0.025 significance level, use SPSS to test the claim that the four brands have the same mean if the following sample results have been obtained.

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