Question

1. The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 voters in the town and found that 48% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 44%. Find the value of the test statistic. Round your answer to two decimal places.

2. A newsletter publisher believes that more than 46% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

State the null and alternative hypotheses for the above scenario.

3. A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 13 men had a mean height of 70.1 inches with a standard deviation of 2.19 inches. A random sample of 10 women had a mean height of 64.3 inches with a standard deviation of 2.21 inches. Determine the 90% confidence interval for the true mean difference between the mean height of the men and the mean height of the women. Assume that the population variances are equal and that the two populations are normally distributed. Round values to 2 decimal places. Lower and Upper endpoint?

4. Using traditional methods, it takes 10.9 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 9 students and observed that they had a mean of 11.3 hours with a variance of 2.56. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

5. Given two independent random samples with the following results:

n1=647	n2=581
x1=260	x2=195

Give the p-value for the appropriate test to determine if there is a significant difference between the two proportions? (Round to 3 decimal places.)

6. A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 402 gram setting. Is there sufficient evidence at the 0.02 level that the bags are underfilled? Assume the population is normally distributed.

State the null and alternative hypotheses for the above scenario.

7. Using traditional methods, it takes 106 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 70 students and observed that they had a mean of 107 hours. Assume the variance is known to be 64. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method?

8. A university financial aid office polled a random sample of 497 male undergraduate students and 455 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 400 of the male students and 333 of the female students said that they had worked during the previous summer. Give a 95% confidence interval for the difference between the proportions of male and female students who were employed during the summer. (Round to two decimal places) Lower and Upper bound?

Answer 1