Question

In: Statistics and Probability

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 25 consumers was taken. The average age in the sample was 32 years with a sample standard deviation of 5 years. Please answer the following questions: a. Construct a 95% confidence interval estimate for the mean of the consumers’ age. b. Suppose a sample of 51 was selected (with the same mean and the sample standard deviation). Construct a 95% confidence interval for the mean of the consumers’ age

Solutions

Expert Solution

Answer a)

A 95% confidence interval estimate for the mean of the consumers’ age is (29.936, 34.064)

Answer b)

A 95% confidence interval estimate for the mean of the consumers’ age is (30.594, 33.406)

orchestra answered 1 year ago
Next > < Previous

Related Solutions

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 55 consumers was taken. The average age in the sample was 21 years with a standard deviation of 4 years. a. Construct a 95% confidence interval for the true average age of the consumers. b. Construct an 80% confidence interval for the true average age of the consumers. c. Discuss why the 95% and 80% confidence intervals are different.
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 25 consumers was taken. The average age in the sample was 32 years with a sample standard deviation of 5 years. Please answer the following questions: a. Construct a 95% confidence interval estimate for the mean of the consumers’ age. b. Suppose a sample of 51 was selected (with the same mean and the sample standard deviation). Construct a 95% confidence interval...
3. Estimate Interval The makers of a soft drink want to identify the average age of...
3. Estimate Interval The makers of a soft drink want to identify the average age of its consumers. A sample of 61 consumers was taken. The average age in the sample was 23 years with a sample standard deviation of 5 years. Please answer the following questions: a. Construct a 95% confidence interval estimate for the mean of the consumers’ age. b. Suppose a sample of 85 was selected (with the same mean and the sample standard deviation). Construct a...
1.     The produce of a soft drink wants to identify the average age of its consumers. A...
1.     The produce of a soft drink wants to identify the average age of its consumers. A sample of 55 consumers was taken. The average age in the sample was 21 years with a standard deviation of 4 years.   A.   Calculate the margin of error for a 95% confidence interval for the average age of the company’s consumers. [2 marks]   B.    Calculate a 95% confidence interval for the average age of the company’s consumers. [2 marks] C.    Carefully interpret in your words the 95%...
Please show your computation steps 3. The makers of a soft drink want to identify the...
Please show your computation steps 3. The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average age in the sample was 32 years with a sample standard deviation of 5 years. Please answer the following questions: a. Construct a 95% confidence interval estimate for the mean of the consumers’ age. b. Suppose a sample of 51 was selected (with the same mean and the sample standard...
A new soft drink is being market tested. It is estimated that 60% of consumers will...
A new soft drink is being market tested. It is estimated that 60% of consumers will like the new drink. A sample of 96 taste-tested the new drink. (a) Determine the standard error of the proportion. (b) What is the probability that more than 70% of consumers will indicate they like the drink?
A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers...
A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers have been claiming that the one-liter-sized products contain less than one liter of soft drink. The company has decided to investigate the problem. According to the company records, when there is no malfunctioning in the beverage dispensing unit, the bottles contain 1.02 liters of beverage on average, with a standard deviation of 0.15 liters. A sample of 70 bottles has been taken to be...
Explain the difference between a soft drink containing sugar and a diet soft drink, in terms...
Explain the difference between a soft drink containing sugar and a diet soft drink, in terms of density and concentration.
Consider you are a regional soft drink company competing in the US soft drink market. Dr....
Consider you are a regional soft drink company competing in the US soft drink market. Dr. Pepper was such a player, operating mostly in and around Texas. How could you compete successfully in this industry that is dominated by two large companies? Use appropriate frameworks to support your answer.
A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup....
A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup. If the amount of drink is normally distributed with a standard deviation equal to 0.5 ounces, Part a: What is the probability that a cup will contain more than 7.72 ounces? Part b: What is the probability that a cup contains between 6.72 and 7.06 ounces? Part c: How many cups will overflow if 7.8-ounce cups are used for the next 1000 drinks? Part...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT