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A group of economists wants to compare the average annual leave among the US and EU workers. Two
samples of US and EU workers were obtained independently and analyzed.
The sample of 37 US workers had the average annual leave of 18 days and the standard deviation 9.07 days.
The sample of 40 EU workers had the average annual leave of 26.8 days and the standard deviation 5.11
days.
Use 10% level of significance to decide whether there is sufficient evidence that average annual leave of US
workers is less than average annual leave of EU workers.
Procedure: Two means T Hypothesis Test
Assumptions: (select everything that applies)
Population standard deviations are known
Population standard deviation are unknown but assumed equal
Independent samples
Paired samples
The number of positive and negative responses are both greater than 10 for both samples
Sample sizes are both greater than 30
Population standard deviation are unknown and not assumed equal
Normal populations
Simple random samples…
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A group of economists wants to compare the average annual leave among the US and EU workers. Two
samples of US and EU workers were obtained independently and analyzed.
The sample of 37 US workers had the average annual leave of 18 days and the standard deviation 9.07 days.
The sample of 40 EU workers had the average annual leave of 26.8 days and the standard deviation 5.11
days.
Use 10% level of significance to decide whether there is sufficient evidence that average annual leave of US
workers is less than average annual leave of EU workers.
Procedure: Two means T Hypothesis Test
Assumptions: (select everything that applies)
Population standard deviations are known
Population standard deviation are unknown but assumed equal
Independent samples
Paired samples
D
The number of positive and negative responses are both greater than 10 for both samples
Sample sizes are both greater than 30
Population standard deviation are unknown and not assumed equal
Normal populations
Simple random…
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A group of economists wants to compare the mean annual leave among the US and EU workers. Two
samples of US and EU workers were obtained independently and analyzed.
The sample of 34 US workers had the mean annual leave of 14.7 days and the standard deviation 7.95 days.
The sample of 32 EU workers had the mean annual leave of 23.5 days and the standard deviation 3.86 days.
Use 10% level of significance to decide whether there is sufficient evidence that mean annual leave of US
workers is less than mean annual leave of EU workers.
Procedure: Two means T Hypothesis Test
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Assumptions: (select everything that applies)
Independent samples
simple random samples
Population standard deviations are known
Normal populations
The number of positive and negative responses are both greater than 10 for both samples
Population standard deviation are…
Chapter 10 Solutions
MATLAB: A Practical Introduction to Programming and Problem Solving
Chapter 10, Problem 10.1PChapter 10, Problem 10.2PChapter 10, Problem 10.3PChapter 10, Problem 10.4PChapter 10, Problem 1EChapter 10, Problem 2EChapter 10, Problem 3EChapter 10, Problem 4EChapter 10, Problem 6EChapter 10, Problem 7E
Chapter 10, Problem 8EChapter 10, Problem 9EChapter 10, Problem 10EChapter 10, Problem 11EChapter 10, Problem 12EChapter 10, Problem 13EChapter 10, Problem 14EChapter 10, Problem 15EChapter 10, Problem 16EChapter 10, Problem 17EChapter 10, Problem 18EChapter 10, Problem 19EChapter 10, Problem 20EChapter 10, Problem 21EChapter 10, Problem 22EChapter 10, Problem 23EChapter 10, Problem 24EChapter 10, Problem 25EChapter 10, Problem 26EChapter 10, Problem 27EChapter 10, Problem 28EChapter 10, Problem 29E
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- octor es ces A group of economists wants to compare the mean annual leave among the US and EU workers. Two samples of US and EU workers were obtained independently and analyzed. The sample of 34 US workers had the mean annual leave of 14.7 days and the standard deviation 7.95 days. The sample of 32 EU workers had the mean annual leave of 23.5 days and the standard deviation 3.86 days. Use 10% level of significance to decide whether there is sufficient evidence that mean annual leave of US workers is less than mean annual leave of EU workers. Procedure: Two means T Hypothesis Test Assumptions: (select everything that applies) Independent samples Simple random samples Population standard deviations are known Normal populations The number of positive and negative responses are both greater than 10 for both samples Population standard deviation are unknown but assumed equal Paired samples Sample sizes are both greater than 30 Population standard deviation are unknown and not assumed equal…arrow_forwardQuestion 4 ANNUAL LEAVE 2.19/3 pts 29 Part 1 of 6 A group of economists wants to compare the mean annual leave among the US and EU workers. Two samples of US and EU workers were obtained independently and analyzed. The sample of 34 US workers had the mean annual leave of 14.7 days and the standard deviation 7.95 days. The sample of 32 EU workers had the mean annual leave of 23.5 days and the standard deviation 3.86 days. Use 10% level of significance to decide whether there is sufficient evidence that mean annual leave of US workers is less than mean annual leave of EU workers. Procedure: Select an answer Assumptions: (select everything that applies) Independent samples Simple random samples Population standard deviations are known Normal populations The number of positive and negative responses are both greater than 10 for both samples Population standard deviation are unknown but assumed equal Paired samples Sample sizes are both greater than 30 Population standard deviation are…arrow_forwardYou may want to use the Excel Two Means Calculator found in the Course to complete this problem. You want to estimate the difference between the mean GPA of day students (Group 1) and the mean GPA of night students (Group 2) with a 94% confidence. A random sample of 13 day students and 14 night students and their GPA's are recorded below. It is reasonable to assume samples represent populations with normal distributions. Click this button to reveal the data. Click again to collapse it. GPA-Day GPA-Night 3.22 3.19 3.36 3.19 3.6 3.1 2.97 3.09 3.11 3.36 2.57 3.18 3.46 3.43 3.01 3.13 3.06 3.15 3.31 3.12 3.22 3.4 3.06 3.27 2.97 3.18 3.38 Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. All conditions are met for inference using Two-Sample T-Confidence Interval because there are two independent random samples and populations have normal distributions. Round answers properly to 2…arrow_forward
- Proctor ents An economist wants to compare average hourly rate charged by automobile mechanics in two suburbs. She randomly selects auto repair facilities from both suburbs and records their hourly rates (in dollars). The data are as follows: Click this button to reveal the data. Click again to collapse it. Suburb1 Suburb2 39.5 44.6 33.3 39.5 43.9 29.6 37.7 31.2 42 44.3 32.9 46.3 33.5 46.4 46 47.3 41.6 20.1 43.4 33.9 ources 34.1 45.6 44.3 44.1 esources 43.1 35.8 36.5 36.6 42.1 32.5 Note: If using Excel, after copying the given data, use Paste Special and select "Unicode Text" to paste the data properly. After pasting, double check the number of data in each column to make sure those are pasted properly. If using Ti calculator, check sum of the data before analyzing: 593.9 for Suburb 1 and 577.8 for Suburb 2 Use 3% level of significance to decide whether there is sufficient evidence that the average hourly rate charged by automobile mechanics in suburb 1 is greater than the average…arrow_forward3:51 myopenmath.com Get a similar question You can retry this question below 89 סוי A school administrator wants to see if there is a difference in the number of students per class for the Portland Public School district (Group 1) compared to the Beaverton School district (Group 2). Let μ₁ be the average number of students per class for the Portland Public School district. Let u₂ be the average number of students per class for the Beaverton School district. Assume the populations are normally distributed. A random sample of 28 Portland classes found a mean of 33 students per class with a standard deviation of 6. A random sample of 27 Beaverton classes found a mean of 38 students per class with a standard deviation of 4. a. Find a 98% confidence interval for the difference of the means. Use Excel Two Means Calculator found in the Course and round answers to 2 decimal places. <11-12 < b. Select the correct conclusion based on the < above confidence interval. Since the above dencente…arrow_forwardDon't use AI please for this statistics question.arrow_forward
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