Question 12: You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=89.9Ho:μ=89.9 Ha:μ<89.9Ha:μ<89.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:Column AColumn BColumn CColumn D62.372.788.568.691.874.183.267.678.591.867.18569.496.171.983.982.257.566.66967.174.578.98587.778.576.577.5What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is less than 89.9.There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.9.The sample data support the claim that the population mean is less than 89.9.There is not sufficient sample evidence to support the claim that the population mean is less than 89.9. You wish to test the following claim (Ha) at a significance level of a = 0.02.H,:μ = 89.9Ha:μ < 89.9You believe the population is normally distributed, but you do not know the standard deviation. You obtainthe following sample of data:Column A Column B Column CColumn D62.372.788.568.691.874.183.267.678.591.867.18569.496.171.983.982.257.566.66967.174.578.98587.778.576.577.5What is the critical value for this test? (Report answer accurate to three decimal places.)critical value =What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =The test statistic is...O in the critical regionO not in the critical regionThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the nullAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the population mean is less than89.9.There is not sufficient evidence to warrant rejection of the claim that the population mean is lessthan 89.9.The sample data support the claim that the population mean is less than 89.9.There is not sufficient sample evidence to support the claim that the population mean is less than89.9.

Followings are the Explanation of the question Calculate the Sample Mean and Sample Standard…

Question 12: You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=89.9Ho:μ=89.9 Ha:μ<89.9Ha:μ<89.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D 62.3 72.7 88.5 68.6 91.8 74.1 83.2 67.6 78.5 91.8 67.1 85 69.4 96.1 71.9 83.9 82.2 57.5 66.6 69 67.1 74.5 78.9 85 87.7 78.5 76.5 77.5 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... in the critical region not in the critical region 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 population mean is less than 89.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.9. The sample data support the claim that the population mean is less than 89.9. There is not sufficient sample evidence to support the claim that the population mean is less than 89.9

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question 12: You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.

Ho:μ=89.9Ho:μ=89.9
Ha:μ<89.9Ha:μ<89.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

Column A	Column B	Column C	Column D
62.3	72.7	88.5	68.6
91.8	74.1	83.2	67.6
78.5	91.8	67.1	85
69.4	96.1	71.9	83.9
82.2	57.5	66.6	69
67.1	74.5	78.9	85
87.7	78.5	76.5	77.5

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

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

The test statistic is...

in the critical region
not in the critical region

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 population mean is less than 89.9.
There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.9.
The sample data support the claim that the population mean is less than 89.9.
There is not sufficient sample evidence to support the claim that the population mean is less than 89.9.

You wish to test the following claim (Ha) at a significance level of a = 0.02.
H,:μ = 89.9
Ha:μ < 89.9
You believe the population is normally distributed, but you do not know the standard deviation. You obtain
the following sample of data:
Column A Column B Column C
Column D
62.3
72.7
88.5
68.6
91.8
74.1
83.2
67.6
78.5
91.8
67.1
85
69.4
96.1
71.9
83.9
82.2
57.5
66.6
69
67.1
74.5
78.9
85
87.7
78.5
76.5
77.5
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
O in the critical region
O not in the critical region
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the population mean is less than
89.9.
There is not sufficient evidence to warrant rejection of the claim that the population mean is less
than 89.9.
The sample data support the claim that the population mean is less than 89.9.
There is not sufficient sample evidence to support the claim that the population mean is less than
89.9.

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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