Answered: between eruptions of a geyser. Assume…

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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Question

Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01?

Recent	77	90	88	79	57	100	61	88	69	88	81	83	56	82	75	103	60
Past	89	87	93	94	66	86	84	92	86	91	88	91

Let μ1 be the recent times and let μ2 be the past times. What are the null and alternative hypotheses?

A. H0: μ1≠μ2

H1: μ1=μ2

B. H0: μ1=μ2

H1: μ1≠μ2

C. H0: μ1=μ2

H1: μ1>μ2

D. H0: μ1<μ2

H1: μ1=μ2

Calculate the test statistic.

t=nothing

(Round to two decimal places as needed.)

Find the P-value.

P-value=

(Round to three decimal places as needed.)

Is the conclusion affected by whether the significance level is 0.10 or

0.01?

A. No, the conclusion is not affected by the significance level because

H0 is not rejected regardless of whether a significance level of

0.10 or 0.01 is used.

B. Yes, the conclusion is affected by the significance level because

H0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10.

C. Yes, the conclusion is affected by the significance level because

H0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01.

D. No, the conclusion is not affected by the significance level because

H0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.

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.

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