andom sample of measurement a populabion with population standard deviation a,3 had a sample mean of x, 9. An independent random sample measurements from a second population with populabion standard deviation of X, 11. the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The student's t. We assume that both population distributions are approximately normal with known standard deviations. The student's t. We assume that both population distributions are approximately normal with unknown standard deviations. •D The standard normal distribution. Samples are independent, the population standard deviations are known, and the sample sizes are sufficiently large. (b) State the hypotheses. O Hi H, " Hạ1 H, < Hz • Hi H, " Hại M, H, * Hz O H,i H, " Hại M,i H, > Hz (c) Compute x, -. Compute the corresponding sample distribution value. (Tesst the difference , - Hy. Round your answer to two decimal places.) (d) Find the Prvalue of the sample test statistic. (Round your answer to four decimal places.)

andom sample of measurement a populabion with population standard deviation a,3 had a sample mean of x, 9. An independent random sample measurements from a second population with populabion standard deviation of X, 11. the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The student's t. We assume that both population distributions are approximately normal with known standard deviations. The student's t. We assume that both population distributions are approximately normal with unknown standard deviations. •D The standard normal distribution. Samples are independent, the population standard deviations are known, and the sample sizes are sufficiently large. (b) State the hypotheses. O Hi H, " Hạ1 H, < Hz • Hi H, " Hại M, H, * Hz O H,i H, " Hại M,i H, > Hz (c) Compute x, -. Compute the corresponding sample distribution value. (Tesst the difference , - Hy. Round your answer to two decimal places.) (d) Find the Prvalue of the sample test statistic. (Round your answer to four decimal places.)

Name: Questions C and G please! (f) Interpret the results.O Reject the null
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Description: Questions C and G please! (f) Interpret the results.O Reject the null hypothesis, there is insufficient evidence that there is a difference between the population means.Reject the null hypothesis, there is sufficient evidence that there is a differen

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Questions C and G please!

(f) Interpret the results.
O Reject the null hypothesis, there is insufficient evidence that there is a difference between the population means.
Reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
O Fail to reject the null hypothesis, there is insufficient evidence that there is a difference between the population means.
(g) Find a 99% confidence interval for u, - H,. (Round your answers to two decimal places.)
lower limit
upper limit

A random sample of 49 measurements from a population with population standard deviation o, = 3 had a sample mean of x, = 9. An independent random sample of 64 measurements from a second population with population standard deviation o, = 4 had a sample mean of x, = 11. Test
the claim that the population means are different. Use level of significance 0.01.
(a) What distribution does the sample test statistic follow? Explain.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The student's t. We assume that both population distributions are approximately normal with known standard deviations.
The student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
O D The standard normal distribution. Samples are independent, the population standard deviations are known, and the sample sizes are sufficiently large.
(b) State the hypotheses.
O H,: 4, = 2i H,: 4, * H2
O H: H, = 4, H, : H, > H2
(c) Compute x, - x,.
x, - x, =
Compute the corresponding sample distribution value. (Test the difference u, - H,. Round your answer to two decimal places.)
(d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
(e) Conclude the test.
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

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