Asked by Lovepreet Singh on May 27, 2024
Verified
Below you are given ages that were obtained by taking a random sample of 6 undergraduate instructors at a university.Assume the population has a normal distribution. 
a.
What is the point estimate of μ?
b.
Determine the standard deviation.
c.
Construct a 90% confidence interval for the average age of undergraduate instructors.
d.
Construct a 99% confidence interval for the average age of undergraduate instructors.
e.
Discuss why the 90% and 99% confidence intervals are different.
Point Estimate
A single value or statistic that is used to estimate the parameter of a population.
Confidence Interval
A spectrum of values obtained from sample data, expected to encompass an unknown parameter of the entire population with a certain degree of assurance.
- Fathom the differentiation in confidence intervals across divergent levels of confidence.
- Acquire knowledge on the concept of the standard error of the mean.
- Know how to calculate the standard deviation of a population given a sample.
Verified Answer
EW
Eudias WambuiMay 30, 2024
Final Answer :
a.
40 years
b.
2.19 (rounded)
c.
38.20 to 41.80 years (rounded)
d.
36.39 to 43.61 years (rounded)
e.
As the level of confidence increases, the confidence interval gets wider.
a.
40 years
b.
2.19 (rounded)
c.
38.20 to 41.80 years (rounded)
d.
36.39 to 43.61 years (rounded)
e.
As the level of confidence increases, the confidence interval gets wider.
Learning Objectives
- Fathom the differentiation in confidence intervals across divergent levels of confidence.
- Acquire knowledge on the concept of the standard error of the mean.
- Know how to calculate the standard deviation of a population given a sample.