Assignment – MBA 416
1. 10 employees are paid $25 each, 18 employees $15 each, and 22 employees $19 each. What is the weighted mean?
2. In a sample of 5 games, Warriors scored 110, 105, 94, 117, 108 points and Timberwolves scored 85, 120, 99, 110, 105 points. Which team had a higher level of consistency?
3. Company X manufactured the following number of units in the last 16 days: 27 27 27 28 27 25 25 28 26 28 26 28 31 30 26 26
– How many classes do you recommend?
– What should be the class interval.
– Organize the information into a frequency distribution.
– Calculate the mean and standard deviation.
4. Here is a sample of test scores – 66 77 81 92 89 78 84. Determine skewness.
5. Consider these 4 values from a population – 9 4 8 5. Determine mean and variance.
6. For the sample of test scores in problem 4, determine mean and variance.
7. The mean number of desks produced per week is 42 and the population standard deviation is 4.67. The company has introduced new production methods. A random sample of twelve week’s production indicates 44 desks were produced each week. Has the introduction of new production methods increased average number of desks produced each week at the .05 significance level? Estimate the 95% confidence interval.
8. Time spent in minutes browsing the internet during work hours by a sample of 10 employees is recorded as 45 50 19 66 75 23 36 42 77 65. Is the mean time spent browsing more than 55 minutes at the .05 significance level?
9. Time to travel to destination in minutes using Route 1 and Route 2 are below. Is there a difference in travel time between the 2 routes at the .05 significance level (assume equal but unknown standard deviation)?
Route 1 – 4 6 8 12
Route 2 – 5 7 9 11
10. Scores on ACT before and after attending an ACT prep workshop are below
Before: Student 1 – 28, S2 – 26, S3 – 19, S4 – 22, S5 – 22, S6 – 34
After: S1 – 31, S2 – 24, S3 – 26, S4 – 27, S5 – 22, S6 – 35
Did students’ ACT scores improve after attending the ACT prep workshop at the .05 significance level?
Note: write the appropriate formula, approach each problem in a step-by-step fashion, show all your calculations, where appropriate state the null and alternate hypotheses, and describe in words what you found and what that means.
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