Question

Use this data for following questions: T2005 AZ100 3.06 2.91 3.04 3.31 3.13 2.82 3.01 3.01...

Use this data for following questions:

T2005 AZ100
3.06 2.91
3.04 3.31
3.13 2.82
3.01 3.01
2.95 2.94
3.02 3.17
3.02 3.25
3.12 3.39
3.00 3.22
3.04 2.97
3.03 2.93
3.05 2.97
3.01 3.05
2.73 2.95
3.12 2.92
3.04 2.71
3.10 2.77
3.02 2.73
2.92 3.18
3.01 2.95
3.15 2.86
2.69 3.16
3.04 3.06
3.01 3.25
2.95 2.82
3.14 3.22
3.31 2.93
3.01 3.24
2.93 2.77
3.00 2.94
3.04 3.31

1. What is the point estimate of the population mean of the hole diameter for the T2005?

Question options:

3.022

3.023

3

2.799

2. Conduct a hypothesis test to determine if the AZ100 drill holes are statistically significantly different from the hypothesized value of 3 centimeters. Use an alpha of .05, and assume the population standard deviation is unknown. What is the value of your test statistic?

Question options:

0.034

0.020

0.670

1.100

3. Conduct a hypothesis test to determine if the AZ100 drill holes are statistically significantly different from the hypothesized value of 3 centimeters. Use an alpha of .05, and assume the population standard deviation is unknown. What is the p-value for your hypothesis test?

Question options:

0.254

0.508

0.140

0.746

4. Find the mean difference in the sample hole diameter between the T2005 and the AZ100, and construct a confidence interval around the mean difference with a confidence coefficient of .90.

What is the confidence interval? Assume the population standard deviation is unknown.

Question options:

3.022 to 3.023

-0.080 to 0.079

-0.067 to 0.066

0.002 to 0.040

5. Find the mean difference in the sample hole diameter between the T2005 and the AZ100, and perform a two tailed hypothesis test where t:

Ho: μ¯¯1−μ¯¯2=0

HA:  μ¯¯1−μ¯¯2≠0

What is your p-value for this test, assume an alpha of .01 and unknown population standard deviation?

Question options:

0.362

0.987

0.127

0.494

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