Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter. a. Mean b. Proportion c. Standard deviation

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

100%

Chapter 8, Problem 1CQQ

Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter.

a. Mean

b. Proportion

c. Standard deviation

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

00:49

Students have asked these similar questions

T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an independent set and m(G) = |E(G)|. (i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The neighborhood of a vertex in a triangle free graph must be independent; all edges have at least one end in a vertex cover. (ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you may need to use either elementary calculus or the arithmetic-geometric mean inequality.

We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…

Negate the following compound statement using De Morgans's laws.

Answer 2

Textbook Question

100%

Chapter 8, Problem 1CQQ

Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter.

a. Mean

b. Proportion

c. Standard deviation

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

00:49

Answer 3

Textbook Question

100%

Chapter 8, Problem 1CQQ

Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter.

a. Mean

b. Proportion

c. Standard deviation

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

00:49

Answer 4

Textbook Question

100%

Chapter 8, Problem 1CQQ

Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter.

a. Mean

b. Proportion

c. Standard deviation

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

00:49

Answer 5

Textbook Question

100%

Answer 6

Textbook Question

100%

Answer 7

a.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Answer 8

a.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer 13

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Answer 14

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

Answer 15

b.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer 20

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Answer 21

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

Answer 22

c.

Expert Solution

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer 27

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Answer 28

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.