Question

The makers of a soft drink want to identify the average age of its consumers. A...

The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is taken. The average age in the sample was 22.5 years with a standard deviation of 5 years. Assume the population of consumer ages is normally distributed.

a.Construct a 95% confidence interval for the average age of all the consumers.

b.Construct an 80% confidence interval for the average age of all the consumers.

c.Discuss why the 95% and 80% confidence intervals are different.

d.Interpret the confidence interval estimate that you constructed in part d.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a vending machine that is supposed to dispense eight ounces of soft drink. A random...
Consider a vending machine that is supposed to dispense eight ounces of soft drink. A random sample of 20 cups taken over a one-week period had an average of 7.845 ounces, and a standard deviation of 0.1986. Estimate a 95% confidence interval of the true mean dispensed by the machine and interpret (in a sentence) what it means.
A random sample of 36 staff members at a local hospital showed an average age of...
A random sample of 36 staff members at a local hospital showed an average age of 25 years. Ages of the staff at the hospital are normally distributed with a population standard deviation of 1.8 years. The 98% confidence interval for the average age of all hospital staff is a) 24.385 to 25.615 b) 23.200 to 26.800 c) 24.301 to 25.699 d) 23.236 to 26.764
The king of a large castle would like to estimate the average age of knights currently...
The king of a large castle would like to estimate the average age of knights currently enrolled. Previous studies show a standard deviation of 2 years in knight ages. a. If in a random sample of 25 knights at the castle, the average age x was found to be 23.2 years old, find a 95% confidence interval for the average age of all knights at the castle. b. If the king wanted a 95% confidence interval for the average knight...
A soft-drink machine is regulated so that it discharges an average of 6.6 ounces per cup....
A soft-drink machine is regulated so that it discharges an average of 6.6 ounces per cup. The amount of drink is normally distributed with a standard deviation equal to 0.5 ounces. Part 1:  (3 points ) What is the probability that a cup will contain more than 7.54 ounces? Part 2:  (3 points ) What is the probability that a cup contains between 6.54 and 7.06 ounces? Part 3: (4 points ) Suppose we want to regulate this machine so that only...
A college admissions director wishes to estimate the mean age of all students currently enrolled. The...
A college admissions director wishes to estimate the mean age of all students currently enrolled. The age of a random sample of 23 students is given below. Assume the ages are approximately normally distributed. Use Excel to construct a 90% confidence interval for the population mean age. Round your answers to two decimal places and use increasing order. Age 25.8 22.2 22.5 22.8 24.6 24.0 22.6 23.6 22.8 23.1 21.5 21.4 22.5 24.5 21.5 22.5 20.5 23.0 25.1 25.2 23.8...
Suppose you want to know if the average age of CEO’s at fortune 500 companies has...
Suppose you want to know if the average age of CEO’s at fortune 500 companies has increased in recent years. In 2010 you took a sample of 30 CEO’s and find their average age is 47 with a sample variance of s 2 2 = 36. In 2016 you took a sample of 25 CEO’s and find their average age is 50 with a sample variance of S 1 2 = 25. Assume the degrees of freedom is 42 What...
Suppose we want to estimate the 90% confidence interval of difference between mean age of university...
Suppose we want to estimate the 90% confidence interval of difference between mean age of university students in Minnesota and Wisconsin. For this we took a random sample of 10 students from Minnesota and another sample of 15 students are taken from Wisconsin. Suppose we found mean age of Minnesota students 23 years with sample standard deviation 2.3 years. also we found mean age of Wisconsin students 22.5 years with sample standard deviation 1.6 years. What is the critical value...
Show ALL work neatly, Need it ASAP, Will UPVOTE for sure A soft-drink machine is regulated...
Show ALL work neatly, Need it ASAP, Will UPVOTE for sure A soft-drink machine is regulated so that it discharges an average of 6.5 ounces per cup. The amount of drink is normally distributed with a standard deviation equal to 0.6 ounces, Part 1:  (3 points )  What is the probability that a cup will contain more than 7.45 ounces? Part 2:  (3 points )  What is the probability that a cup contains between 6.45 and 7.06 ounces? Part 3: (4 points ) Suppose...
You want to estimate the average starting salary of San Jose graduates. You call a random...
You want to estimate the average starting salary of San Jose graduates. You call a random sample of 200 students who graduated in the last two years. After collecting the data, you are about to calculate the 95% confidence interval when you remember that incomes are skewed to the right. Isn’t a 95% confidence interval based on a normal curve? Was all your work in vain? Explain, making reference to the assumptions required for confidence intervals to be valid.
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 22 students, the mean age is found to be 21.4 years. From past studies, the ages of enrolled students are normally distributed with a standard deviation of 10.2 years. Construct a 90% confidence interval for the mean age of all students currently enrolled. 1. What is the Critical value?