A researcher takes sample temperatures in Fahrenheit of 16 days from Miami (Group 1) and 18 days from Tucson (Group 2). Test the claim that the mean temperature in Miami greater than the mean temperature in Tucson. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. MiamiTucson77.574.18480.575.358.672.477.374.165106.564.295.85998.669.379.572.677.570.577.76466.466.965.964.290.680.581.866.975.371 59 75.9 1. What are the correct hypotheses? H0: H1: 2. Based on the hypotheses, find the following:Test Statistic = p-value = The p-value is to alpha.3. The correct decision is to .The correct summary would be: the claim that the mean temperature in Miami greater than the mean temperature in Tucson.

Answered: A researcher takes sample temperatures…

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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A researcher takes sample temperatures in Fahrenheit of 16 days from Miami (Group 1) and 18 days from Tucson (Group 2). Test the claim that the mean temperature in Miami greater than the mean temperature in Tucson. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places.

Miami	Tucson
77.5	74.1
84	80.5
75.3	58.6
72.4	77.3
74.1	65
106.5	64.2
95.8	59
98.6	69.3
79.5	72.6
77.5	70.5
77.7	64
66.4	66.9
65.9	64.2
90.6	80.5
81.8	66.9
75.3	71
	59
	75.9

1. What are the correct hypotheses?

H₀:

H₁:

2. Based on the hypotheses, find the following:

Test Statistic =

p-value =

The p-value is     to alpha.

3. The correct decision is to        .

The correct summary would be:       the claim that the mean temperature in Miami greater than the mean temperature in Tucson.

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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