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Category: Calculus and Above
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Experience:  I teach Calculus and Probability in an University since 1994
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# 13. If z is a standard normal variable, find the probability. The

13. If z is a standard normal variable, find the probability.
The probability that z is greater than -1.82 (Points : 4)
0.4656
0.9656
-0.0344
0.0344

14. Find the value of the linear correlation coefficient r.
The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.
W4T13 (Points : 4)
0.224
-0.678
0.678
-0.224

15. Solve the problem.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215. (Points : 4)
0.0287
0.1179
0.4713
0.3821

16. Use the normal distribution to approximate the desired probability.
Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. (Points : 4)
0.1871
0.4936
0.2946
0.3229

17. The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.
The probability of no more than 75 defective CD's (Points : 4)
The area to the right of 75.5
The area to the left of 75
The area to the left of 74.5
The area to the left of 75.5

18. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.
In a random sample of 184 college students, 97 had part-time jobs. Find the margin of error for the 95% confidence interval used to estimate the population proportion. (Points : 4)
0.0721
0.00266
0.126
0.0649

19. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
n = 125, x = 72; 90% confidence (Points : 4)
0.507 < p < 0.645
0.503 < p < 0.649
0.506 < p < 0.646
0.502 < p < 0.650

20. Use the given data to find the minimum sample size required to estimate the population proportion.
Margin of error: 0.015; confidence level: 96%; phat and qhat unknown (Points : 4)
6669
3667
4519
4670

21. Use the confidence level and sample data to find a confidence interval for estimating the population (mu). Round your answer to the same number of decimal places as the sample mean.
A random sample of 130 full-grown lobsters had a mean weight of 21 ounces and a standard deviation of 3.0 ounces. Construct a 98% confidence interval for the population mean mu. (Points : 4)
21 oz < mu < 23 oz
20 oz < mu < 22 oz
20 oz < mu < 23 oz
19 oz < mu < 21 oz

22. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
ALPHA = 0.05 for a left-tailed test. (Points : 4)
-1.96
±1.96
±1.645
-1.645

23. Solve the problem. Round the point estimate to the nearest thousandth.
50 people are selected randomly from a certain population and it is found that 13 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall? (Points : 4)
0.50
0.26
0.19
0.74

24. Find the value of the test statistic z using z = W4T29
The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n = 800 deaths of the elderly with 15% of them attributable to residential falls. (Points : 4)
3.96
-3.96
4.71
-4.71

25. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
The test statistic in a right-tailed test is z = 1.43. (Points : 4)
0.1528; fail to reject the null hypothesis
0.1528; reject the null hypothesis
0.0764; fail to reject the null hypothesis
0.0764; reject the null hypothesis
Hi,

I am working on this questions now

I will post the answers soon

Steve
Customer: replied 5 years ago.
ok thank you
13. If z is a standard normal variable, find the probability.
The probability that z is greater than -1.82 (Points : 4)
0.4656
0.9656
-0.0344
0.0344

14. Find the value of the linear correlation coefficient r.
The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

I need the paired data values to answer this question

W4T13 (Points : 4)
0.224
-0.678
0.678
-0.224

15. Solve the problem.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215. (Points : 4)

0.0287
0.1179
0.4713
0.3821

16. Use the normal distribution to approximate the desired probability.
Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. (Points : 4)

0.1871
0.4936
0.2946
0.3229

17. The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.
The probability of no more than 75 defective CD's (Points : 4)
The area to the right of 75.5
The area to the left of 75
The area to the left of 74.5
The area to the left of 75.5

18. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.
In a random sample of 184 college students, 97 had part-time jobs. Find the margin of error for the 95% confidence interval used to estimate the population proportion.
(Points : 4)

0.0721
0.00266
0.126
0.0649

19. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
n = 125, x = 72; 90% confidence (Points : 4)

0.507 < p < 0.645
0.503 < p < 0.649
0.506 < p < 0.646
0.502 < p < 0.650

20. Use the given data to find the minimum sample size required to estimate the population proportion.
Margin of error: 0.015; confidence level: 96%; phat and qhat unknown (Points : 4)

6669
3667
4519
4670

21. Use the confidence level and sample data to find a confidence interval for estimating the population (mu). Round your answer to the same number of decimal places as the sample mean.
A random sample of 130 full-grown lobsters had a mean weight of 21 ounces and a standard deviation of 3.0 ounces. Construct a 98% confidence interval for the population mean mu. (Points : 4)

21 oz < mu < 23 oz
20 oz < mu < 22 oz
20 oz < mu < 23 oz
19 oz < mu < 21 oz

22. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
ALPHA = 0.05 for a left-tailed test. (Points : 4)
-1.96
±1.96
±1.645
-1.645

23. Solve the problem. Round the point estimate to the nearest thousandth.
50 people are selected randomly from a certain population and it is found that 13 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall? (Points : 4)
0.50
0.26
0.19
0.74

24. Find the value of the test statistic z using z = W4T29
The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n = 800 deaths of the elderly with 15% of them attributable to residential falls. (Points : 4)

3.96
-3.96
4.71
-4.71

25. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
The test statistic in a right-tailed test is z = 1.43. (Points : 4)
0.1528; fail to reject the null hypothesis
0.1528; reject the null hypothesis
0.0764; fail to reject the null hypothesis
0.0764; reject the null hypothesis

Bonus is welcome

Thanks

Steve