Answered: What is the test statistic for this…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

You wish to test the following claim (H0,Ha) at a significance level of α=0.002

Ho:μ1=μ2
Ha:μ1≠μ2

You obtain the following two samples of data.

Sample #1

Sample #2

91.1	91.9	75.1	68.6
77.8	97	81.3	76.3
95	89.6	75.1	81.3
93.6	85.7	82.7	78.9
99.4	87.8	91.9	95.5
71.9	73.8	92.7	86.7
79.3	71.4	60.2	95
75.9	72.4	71.4	73.8
86.7	82.7	75.9	78.2
64.9	92.7	85	99.4
89.6	97	80	83.7
68.6	100.1	96.5	98.8
79.6	76.7	56.2

63.9	67.4	51.6	95.4
78.6	63.1	71.3	93.3
105.2	70.3	68	64.7
91.8	90.4	82.3	62.3
104.2	92.3	89.9	103.2
81.1	73.3	105.2	79.4
79.8	94.3	44.4	67.4
44.4	44.4	89	66.1
79	96.6	58.2	59.4
77.3	78.6	113	93.3
94.9	76.9	87.7	89.5
99.2	86	70.3	76
69.2	83.5	57	110.8
63.9	61.4	110.8	86.9
90.4	44.4	71.3

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
The sample data support the claim that the first population mean is not equal to the second population mean.
There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions