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 92 89 78 56 101 63 86 71 89 82 84 57 81 73 103 62 Past 88 88 93 94 63 85 84 92 88 91 91 91 Let μ1be 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= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. Fail to reject or Reject H0 because the P-value is less than or equal to or greater than the significance level. There is not or is sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or0.01? A. 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. 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. 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. 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.

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 92 89 78 56 101 63 86 71 89 82 84 57 81 73 103 62 Past 88 88 93 94 63 85 84 92 88 91 91 91 Let μ1be 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= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. Fail to reject or Reject H0 because the P-value is less than or equal to or greater than the significance level. There is not or is sufficient evidence that the mean time interval has changed. Is the conclusion affected by whether the significance level is 0.10 or0.01? A. 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. 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. 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. 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.

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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Concept explainers

Question

0.01?

Recent	77	92	89	78	56	101	63	86	71	89	82	84	57	81	73	103	62
Past	88	88	93	94	63	85	84	92	88	91	91	91

Let μ1be 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.

(Round to two decimal places as needed.)

Find the P-value.

P-value=

(Round to three decimal places as needed.)

Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of

0.10.

Fail to reject or Reject

H0 because the P-value is

less than or equal to or greater than

the significance level.

There is not or is sufficient evidence that the mean time interval has changed.

Is the conclusion affected by whether the significance level is

0.10 or0.01?

A. 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.

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. 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.

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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