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1. A statistics instructor collected data on the time it takes the students to complete a test. The test taking time is uniformly distributed within a range of 35 minutes to 55 minutes.
a. Determine the height.
b. How long does the typical test taking time?
c. Determine the standard deviation of the test taking time.
d. What is the probability a particular student will take less than 45 minutes?
e. What is the probability a particular student will take between 45 and 50 minutes?
2. A certain printer cartridge has demonstrated a mean time usage of 9 hours and a standard deviation of 22 minutes. What time usage guarantee (in hours) should the manufacturer advertise in order to ensure that only 4% of the cartridges fail to meet the guaranteed time usage?
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
The population standard deviation for both groups is 6. At α = 0.01, is there a difference in the cholesterol levels between the two groups? Find the 99% confidence interval for the difference of the two means.
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank sum test, evaluate the significance of the results, assuming there are no ties.
Using ANOVA, determine if there is a significant difference in the six year graduation rate by type.
Discuss how graphical representations can be used to display data in a meaningful way. Choose a specific business application and describe an example of a specific graph or chart that can be used to interpret data and why it is so useful.
Soft Drinks a vending machine automatically pours soft drinks into cups. As the amount of soft drink dispensed into a cup is normally distributed
To find out the probability that the age of a randomly selected CEO. The average age of CEOs is 56 years. Suppose the variable is normally distributed.
Now compute the standard deviation for this distribution.
A researcher conducts some research in which they identify a significant positive correlation (r =0.42) between the number of children a person has and their life satisfaction. Which of the following is it inappropriate to conclude from this resea..
If the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94.
A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded. Determine the regression line equ..
A large population of overdue bills has balances that follow a normal curve. When we take a sample of 100 of these the average is $500 and the standard deviation is $100. (a) what statement can you make about the range $300 to $700? (b) what state..
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