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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