Search
How many committees of three(3) can be formed from eight(8) people?
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of
$200
a month and an additional
$12
for each album that he sells. Last month he earned a total of
$644
Write an equation to determine the number of albums (a)
Floyd sold last month.
A sample of 100 workers in a large plant gave a mean assembly time of 294 seconds with a standard deviation of 12 seconds in a time and motion study. Find a 95%percent confidence interval for the mean assembly time for all the workers in the plant
A total of 825 tickets were sold for the school play they were either adult tickets or student tickets they were 75 much do tickets sold in adult tickets how many adult tickets were sold
The recovery time in days for 36 patients are given below
8 7 6 4 5 3 7 8 10 7 7
6 4 10 3 6 8 2 5 4 5 3 8
7 4 6 3 7 12 4 3 6 6 9 4
A. Construct a frequency distribution
B. What percentage of recovery days were fewer than 6
C. Find the mean and median number of days to recovery
D. Fin the 20th percentile and the samllr variance
If Cot θ= 12/5 , and
Cos θ= 1/tan θ. Evaluate;
Cos2θ/sin θ + Cos θ
An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars of this model and collected the following information on the ages (in years) and prices (in hundreds of dollars) of these cars.
Age
8
3
6
9
2
5
6
3
Price
45
210
100
33
267
134
109
235
- What is the independent variable?
- What is the dependent variable?
- Develop the regression model
- Predict the price of a 7-year-old car of this model.
- Estimate the price of an 18-year-old car of this model. Comment on this finding.
The manager of a restaurant in a large city claims that waiters working in all restaurants in his city earn an average of $150 or more in tips per week. A random sample of 25 waiters selected from restaurants of this city yielded a mean of $139 in tips per week with a standard deviation of $28. Assume that the weekly tips for all waiters in this city have a normal distribution.
Using the 1% significance level, can you conclude that the manager’s claim is true?
The manager of a restaurant in a large city claims that waiters working in all restaurants in his city earn an average of $150 or more in tips per week. A random sample of 25 waiters selected from restaurants of this city yielded a mean of $139 in tips per week with a standard deviation of $28. Assume that the weekly tips for all waiters in this city have a normal distribution.
a. Using the 1% significance level, can you conclude that the manager’s claim is true? Use
both approaches. (20 Mks)
b. What is the Type I error in this exercise? Explain. What is the probability of making such
an error? (5 Mks)
The manager of a restaurant in a large city claims that waiters working in all restaurants in his city earn an average of $150 or more in tips per week. A random sample of 25 waiters selected from restaurants of this city yielded a mean of $139 in tips per week with a standard deviation of $28. Assume that the weekly tips for all waiters in this city have a normal distribution.
a. Using the 1% significance level, can you conclude that the manager’s claim is true? Use
both approaches. (20 Mks)
b. What is the Type I error in this exercise? Explain. What is the probability of making such
an error? (5 Mks)
