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 78 92 90 78 58 99 63 86 71 89 83 84 55 82 73 102 61 Past 90 87 93 94 63 84 86 92 86 91 89 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=nothing (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 Reject H0 because the P-value is ▼ less than or equal to greater than the significance level. There ▼ is is not sufficient evidence that the mean time interval has changed. 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 rejected regardless of whether a significance level of 0.10 or 0.01 is used. B. 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. 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. 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.

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 78 92 90 78 58 99 63 86 71 89 83 84 55 82 73 102 61 Past 90 87 93 94 63 84 86 92 86 91 89 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=nothing (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 Reject H0 because the P-value is ▼ less than or equal to greater than the significance level. There ▼ is is not sufficient evidence that the mean time interval has changed. 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 rejected regardless of whether a significance level of 0.10 or 0.01 is used. B. 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. 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. 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.

Name: Listed below are time intervals (min) between eruptions of a geyser.
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Description: 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 sele

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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0.10

0.01?

Recent	78	92	90	78	58	99	63	86	71	89	83	84	55	82	73	102	61
Past	90	87	93	94	63	84	86	92	86	91	89	91

Let

μ1

be the recent times and let

μ2

be the past times. What are the null and alternative hypotheses?

H0:

μ1≠μ2

H1:

μ1=μ2

H0:

μ1=μ2

H1:

μ1>μ2

H0:

μ1<μ2

H1:

μ1=μ2

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=nothing

(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

Reject

because the P-value is

▼

less than or equal to

greater than

the significance level. There

▼

is not

sufficient evidence that the mean time interval has changed.

Is the conclusion affected by whether the significance level is

0.10

0.01?

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

is rejected regardless of whether a significance level of

0.10

0.01

is used.

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

is not rejected regardless of whether a significance level of

0.10

0.01

is used.

Yes, the conclusion is affected by the significance level because

is rejected when the significance level is

0.10

but is not rejected when the significance level is

0.01.

Yes, the conclusion is affected by the significance level because

is rejected when the significance level is

0.01

but is not rejected when the significance level is

0.10.

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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