# mathematics

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 7 53 60 Female 1 39 40 Total 8 92 100 State the null and alternative hypothesis for the information above. A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are related in some way. B. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way. C. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way. D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way. A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 25.2. What is the margin of error? A. 3.9 B. 4.8 C. 4.9 D. 3.7 Which of the following statements is true? A. The t distribution cannot be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population. B. The t distribution can be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population. C. The p distribution can be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population. D. The p distribution can be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population. A 95% confidence interval for the mean of a normal population is found to be 17.6 < µ < 23.6. What is the margin of error? A. 2.0 B. 2.7 C. 3.0 D. 4.0 The following data were analyzed using one-way analysis of variance. A B C 34 27 19 26 23 31 31 29 22 28 21 22 Which one of the following statements is correct? A. The purpose of the analysis is to determine whether the groups A, B, and C are independent. B. The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal. C. The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal. D. The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal. One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 4.613, state your conclusion about the relationship between gender and colorblindness. A. Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related. B. Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. C. Do not Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. D. Do not Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related. A simple random sample from a normal distribution is taken in order to obtain a 95% confidence interval for the population mean. If the sample size is 8, the sample mean x̄ is 22, and the sample standard deviation s is 6.3, what is the margin of error? Show your answer to 2 decimal places. A. df = 7; E = 3.3445.38 = 5.6566 B. df = 8; E = 3.3445.38 = 5.6566 C. df = 6; E = 2.3656.38 = 5.769 D. df = 7; E = 2.3656.38 = 5.869 One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 3.427, state your conclusion about the relationship between gender and colorblindness. A. Do not reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related. B. Do not reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. C. Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related. D. Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. A 95% confidence interval for the mean of a normal population is found to be 13.2 < µ < 22.4. What is the margin of error? A. 4.6 B. 4.4 C. 4.2 D. 5.6 One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 7 53 60 Female 1 39 40 Total 8 92 100 If gender and colorblindness are independent, find the expected values corresponding to the male combinations of gender and colorblindness. A. Colorblind Male 4.8; Not Colorblind Male 55.2 B. Colorblind Male 6.8; Not Colorblind Male 53.2 C. Colorblind Male 4.8; Not Colorblind Male 55.4 D. Colorblind Male 4.8; Not Colorblind Male 56.2 One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100 State the null and alternative hypothesis for the test associated with this data. A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way. B. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are related in some way. C. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way. D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way.

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