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Prob/Stats Unit 6 Quiz Corrections Assignment

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Find the margin of error for the mean number of telephone calls directed by a local telephone company if s = 4.5 minutes, n = 420, and we want to be 95% confident.

a)

0.020

b)

0.432

c)

0.009

d)

0.117

2.

A sample of 31 people were randomly selected from among the workers in a shoe factory. The time taken for each person to polish a finished shoe was measured, and the sample mean was 2.2 minutes with a sample standard deviation of 0.72 minutes. Construct the 90% confidence interval for the mean time to polish a shoe.

a)

(1.98, 2.42)

b)

(1.87, 2.53)

c)

(1.95, 2.45)

d)

(1.90, 2.50)

3.

Scores on a certain test are normally distributed with a VARIANCE of 56. A researcher wishes to estimate the mean scores achieved by all adults on the test. Find the sample size needed to assure with 98% confidence that the sample mean will not differ from the population mean by more than 3 points.

a)

34

b)

1892

c)

102

d)

14

4.

A group of 59 randomly selected students have a mean score of 38.8 with a standard deviation of 5.8 on a placement test. What is the 90% confidence interval for the mean score of all students taking the test?

a)

(37.0, 40.6)

b)

(37.3, 40.3)

c)

(36.9, 40.7)

d)

(37.5, 40.1)

5.

For a sample with 66 observations, the mean is 33 and the standard deviation is 8.5. Use a 95% confidence level to find the margin of error for mean.

a)

1.86

b)

1.76

c)

2.09

d)

4.25

6.

In a sample of 170 observations, there were 75 people who liked pizza. Find the margin of error for the proportion of people who like pizza given a 95% confidence level.

a)

0.1310

b)

0.0746

c)

0.0028

d)

0.0671

7.

A survey of 300 union workers in New York State reveals that 112 favor the Independent candidate for governor. Construct the 98% confidence interval for the true proportion of all New York State union workers who favor the Independent candidate.

a)

(0.344, 0.402)

b)

(0.301, 0.0445)

c)

(0.316, 0.430)

d)

(0.308, 0.438)

8.

Find a 95% confidence interval for proportion if n=61, x=23.

a)

(0.275, 0.479)

b)

(0.254, 0.500)

c)

(0.255, 0.499)

d)

(0.274, 0.480)

9.

Of 92 randomly selected adults, 73.9% have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.

a)

0.632 < p < 0.846

b)

0.664 < p < 0.814

c)

0.644 < p < 0.442

d)

0.621 < p < 0.857

10.

A survey of shoppers is planned to see what percentage use credit cards. Prior surveys suggest 86% of shoppers use credit cards. How many shoppers should be surveyed for a 95% confidence level if we want to be within 2% of the true population proportion?

a)

1157

b)

1156

c)

814

d)

815

11.

A pollster wishes to estimate the true population proportion of U.S. voters who agree with candidate A. How many voters should be surveyed in order to be 90% confident that the true proportion is within 7%?

a)

196

b)

197

c)

139

d)

138

12.

Find the critical value, Ch-squared left corresponding to a sample size of 4 and a confidence level of 98%.

a)

11.345

b)

0.297

c)

0.115

d)

13.277

13.

The mean systolic blood pressure for a random sample of 25 women aged 18-24 is 115.9 mm Hg, and the standard deviation of the sample is 12.8 mm Hg. Construct a 90% confidence interval for the population standard deviation.

a)

(10.22, 16.40)

b)

(10.43, 16.74)

c)

(10.61, 17.20)

d)

(10.39, 16.85)

14.

How many people must be surveyed if you want to be 99% confident that the sample standard deviation, s, is within 5% of the population standard deviation?

a)

767

b)

1335

c)

3148

d)

5457

15.

Evaluate t* for a confidence interval about the mean with a confidence level of 99% and a sample size of 17.

a)

2.898

b)

2.583

c)

2.921

d)

2.567