1. The custodian of a warehouse showed that in a random sample of n = 60 days, the warehouse contains an average of 985 kilograms of unused paper. Given that o = 94 for the data, what can the custodian assert with 95% confidence about the maximum error if he uses = 985 as an estimate of the actual daily average of unused paper inside the warehouse?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Answer the following questions.

 

Answer each of the following:
1. The custodian of a warehouse showed that in a random sample of n = 60
days, the warehouse contains an average of 985 kilograms of unused
paper. Given that o = 94 for the data, what can the custodian assert with
95% confidence about the maximum error if he uses 985 as an estimate
of the actual daily average of unused paper inside the warehouse?
2. Sixty-four employees of ADMU travel an average of 11.4 kilometers to
work. The standard deviation is 4 km. Find the 99% confidence interval of
the true mean of the population.
3. For a group of 12 pregnant women, the mean number of heart beats per
minute of the fetus is 145, and the standard deviation is 5. Find the 95%
confidence of the true mean.
Transcribed Image Text:Answer each of the following: 1. The custodian of a warehouse showed that in a random sample of n = 60 days, the warehouse contains an average of 985 kilograms of unused paper. Given that o = 94 for the data, what can the custodian assert with 95% confidence about the maximum error if he uses 985 as an estimate of the actual daily average of unused paper inside the warehouse? 2. Sixty-four employees of ADMU travel an average of 11.4 kilometers to work. The standard deviation is 4 km. Find the 99% confidence interval of the true mean of the population. 3. For a group of 12 pregnant women, the mean number of heart beats per minute of the fetus is 145, and the standard deviation is 5. Find the 95% confidence of the true mean.
4. A Marketing researcher randomly selects 20 female students in a
certain university and found out that their average monthly
expenditures for their cellphone loads is Php500.00 with a standard
deviation of Php75.00. Find the 99% confidence interval for the average
expenditures of female students for their cellphone loads.
MODU
5. A bookstore confirms that the durability of their textbooks follows a normal
distribution with a standard deviation of 5 years, How many textbooks must be
selected as samples if you wanted to estimate with 99% confidence that the
sample mean is within 2 years of the true population mean?
6. It was reported that students who do online business during this pandemic crisis
earns money with a standard deviation of P1,500. If you wanted to estimate
with 95% confidence the mean income of students within P450 of the true
population mean, how many students should you select?
7. Which one of the following statements is more helpful? Explain why.
a. We can be 95% confident that the average amount of money spent on
housing in the Philippines is between P 13,500 and P 148,500.
b. We can be 95% confident that the average amount of money spent
monthly on housing in the Philippines is between P 49,500 and P 58,500.
Transcribed Image Text:4. A Marketing researcher randomly selects 20 female students in a certain university and found out that their average monthly expenditures for their cellphone loads is Php500.00 with a standard deviation of Php75.00. Find the 99% confidence interval for the average expenditures of female students for their cellphone loads. MODU 5. A bookstore confirms that the durability of their textbooks follows a normal distribution with a standard deviation of 5 years, How many textbooks must be selected as samples if you wanted to estimate with 99% confidence that the sample mean is within 2 years of the true population mean? 6. It was reported that students who do online business during this pandemic crisis earns money with a standard deviation of P1,500. If you wanted to estimate with 95% confidence the mean income of students within P450 of the true population mean, how many students should you select? 7. Which one of the following statements is more helpful? Explain why. a. We can be 95% confident that the average amount of money spent on housing in the Philippines is between P 13,500 and P 148,500. b. We can be 95% confident that the average amount of money spent monthly on housing in the Philippines is between P 49,500 and P 58,500.
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