Check whether it is appropriate to use normal distribution to find the probabilities for x ¯ .

Question

Want to see the full answer?

Answer 1

Question

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.

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

(a) Test the hypothesis. Consider the hypothesis test Ho = : against H₁o < 02. Suppose that the sample sizes aren₁ = 7 and n₂ = 13 and that $² = 22.4 and $22 = 28.2. Use α = 0.05. Ho is not ✓ rejected. 9-9 IV (b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).

Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null hypothesis, 40 = 0. What level of type II error would you recommend here? Round your answer to four decimal places (e.g. 98.7654). Use a = 0.05. β = i What sample size would be required? Assume the sample sizes are to be equal.…

= Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ = 15 and n₂ = 15, that x1 = 4.7 and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use απ 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume that α = 0.05. (a) The null hypothesis is 98.7654). rejected. The P-value is 0.0008 (b) The power is 0.94 . Round your answer to four decimal places (e.g. Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = 1 . Round your answer to the nearest integer.

Answer 2

Question

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.

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

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.

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

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.

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Answer 6

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

Answer 7

Chapter 6.2, Problem 16E

a.

To determine

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

Answer 8

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

Answer 9

b.

To determine

Find the probability that x¯ will be between 53 and 54 if appropriate.

Answer 10

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Answer 11

c.

To determine

Find the 45^th percentile of x¯ if appropriate.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 6.1 - Prob. 1CYU Ch. 6.1 - Prob. 2CYU Ch. 6.1 - Prob. 3CYU Ch. 6.1 - Prob. 4CYU Ch. 6.1 - Prob. 5CYU Ch. 6.1 - Prob. 6CYU Ch. 6.1 - Prob. 7CYU Ch. 6.1 - Prob. 8CYU Ch. 6.1 - Prob. 9CYU Ch. 6.1 - Prob. 10CYU

Check whether it is appropriate to use normal distribution to find the probabilities for x ¯ .

Concept explainers

Videos

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

Find the probability that x¯ will be between 53 and 54 if appropriate.

Find the 45^th percentile of x¯ if appropriate.

Want to see the full answer?

Chapter 6 Solutions

Check whether it is appropriate to use normal distribution to find the probabilities for x ¯ .

Concept explainers

Videos

Check whether it is appropriate to use normal distribution to find the probabilities for x¯.

Find the probability that x¯ will be between 53 and 54 if appropriate.

Find the 45th percentile of x¯ if appropriate.

Want to see the full answer?

Chapter 6 Solutions

Find the 45^th percentile of x¯ if appropriate.