The following data is on the completion time of a machining task taken by a random sample of 12 trainees and a random sample of 15 professional machinists (independent samples): Completion times (in minutes) 37 17 38 41 | 45 45 Trainees (X) 32 43 27 43 41 35 | 26 21 32 27 32 | 28 21 30 40 24 28 32 39 33 Professional 30 | 40 machinists (Y) Let µ, and µ, be the corresponding population mean completion times, and assume that the populations from which these completion times were sampled are normally distributed. 1- Are the professional machinists faster on the average than the trainees (µ, > µz) at the 1% level of significance? Test this by the following 5 steps. Step 1. Hypotheses and significance level: Но: Hạ: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result): 2- Construct a 99% confidence interval for µ,-µ2.

The following data is on the completion time of a machining task taken by a random sample of 12 trainees and a random sample of 15 professional machinists (independent samples): Completion times (in minutes) 37 17 38 41 | 45 45 Trainees (X) 32 43 27 43 41 35 | 26 21 32 27 32 | 28 21 30 40 24 28 32 39 33 Professional 30 | 40 machinists (Y) Let µ, and µ, be the corresponding population mean completion times, and assume that the populations from which these completion times were sampled are normally distributed. 1- Are the professional machinists faster on the average than the trainees (µ, > µz) at the 1% level of significance? Test this by the following 5 steps. Step 1. Hypotheses and significance level: Но: Hạ: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result): 2- Construct a 99% confidence interval for µ,-µ2.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The following data is on the completion time of a machining task taken by a random sample
of 12 trainees and a random sample of 15 professional machinists (independent samples):
Completion times (in minutes)
45 45
Trainees (X)
Professional
32 43 27 43|
41 37
17 38 41
35
26 21
32 27 32 22 28 21
30 | 40 24
28 32
39
33
machinists (Y)
Let µ, and u, be the corresponding population mean completion times, and assume that the
populations from which these completion times were sampled are normally distributed.
1- Are the professional machinists faster on the average than the trainees (u, > µ,)
at the 1% level of significance? Test this by the following 5 steps.
Step 1. Hypotheses and significance level:
Но:
На:
a =
Step 2. Test Statistic and its sampling distribution under Ho:
Step 3. Observed value of the test statistic:
Step 4. P-value under Ho:
Step 5. Decision and conclusion (interpretation of the result):
2- Construct a 99% confidence interval for H;-H2.

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