Question

A random sample of n = 64 weights is taken from babies born at a hospital....

A random sample of n = 64 weights is taken from babies born at a hospital. A mean of ?̅ =7.5 lbs and a standard deviation of ? = 6.4 lbs were found for the sample. Calculate a 95% confidence interval for the mean weight of all babies born at this hospital assuming σ is unknown

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

t /2,df = 1.998

Margin of error = E = t/2,df * (s /n)

= 1.998 * (6.4 / 64)

Margin of error = E = 1.6

The 95% confidence interval estimate of the population mean is,

- E < < + E

7.5 - 1.6 < < 7.5 + 1.6

5.9 < < 9.1

(5.9 , 9.1)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital,...
Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean weight of babies born to full-term pregnancies is 7 pounds with a standard deviation of 14 ounces (1 pound = 16 ounces). Dr. Watts (who works at Meadowbrook Hospital) has four deliveries (all for full-term pregnancies) coming up during the night. Assume that the birth weights of these four babies can be viewed as a simple random sample. What is the probability...
A random sample of 24 recent birth records at the local hospital was selected. In the...
A random sample of 24 recent birth records at the local hospital was selected. In the sample, the average birth weight was 119.6 ounces. Population standard deviation was 6.7 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean μ. A 95% confidence interval for the population mean birth weight based on these data is
An SRS of 18 recent birth records at the local hospital was selected.   In the sample,...
An SRS of 18 recent birth records at the local hospital was selected.   In the sample, the average birth weight was 119.6 ounces and the standard deviation was 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with unknown mean μ and unknown standard deviation σ . We want to estimate μ based on our sample. A 95% confidence interval for the population mean birth weight based on...
Suppose babies born in a large hospital have a mean weight of 3200 grams, and a...
Suppose babies born in a large hospital have a mean weight of 3200 grams, and a standard deviation of 526 grams. If 100 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 50 grams?
6) A zoologist weights 19 newborn African elephants born in captivity. The mean weight of the...
6) A zoologist weights 19 newborn African elephants born in captivity. The mean weight of the sample is 185.4 lbs with a standard deviation of 6.4 lbs. a) Find a 99% confidence interval for the true weight of newborn African elephants born in captivity. b) Provide the margin of error of the interval as your answer. Round your answer to 1 decimal place.
Suppose babies born in a large hospital have a mean weight of 4090 grams, and a...
Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600. If 64 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be greater than 4144 grams? Round your answer to four decimal places.
Birth weights at a local hospital have a Normal distribution with a mean of 110 oz...
Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. You take a random sample of babies born at the hospital and find the mean weight. What is the probability that the mean weight will be between 111 and 114 in a sample of 50 babies born at this hospital? Round to 3 decimal places.
The average weight of 237 babies born at Swedish hospital last year was 7.04 pounds with...
The average weight of 237 babies born at Swedish hospital last year was 7.04 pounds with a standard deviation of .42 pounds. Generate the population and then take two samples. Compare their means and standard deviations. random sample of 3 from the population of 237. Calculate the mean and standard deviations of your sample of 3
The mean weight of 10 randomly newborn babies at a local hospital is 7.14 lbs and...
The mean weight of 10 randomly newborn babies at a local hospital is 7.14 lbs and the standard deviation of 0.817 lbs. Assume the weight of newborn babies has approximately normal distribution. a. Find the margin of error for a confidence level of 90%. b. Fill in the blanks in the following sentence. % of all samples of size have sample means within of the population mean. c. Find the 90% confidence interval for the mean weight at this hospital.
please do steps 11 - The mean weight of 10 randomly selected newborn babies at a...
please do steps 11 - The mean weight of 10 randomly selected newborn babies at a local hospital is 7.14 lbs and the standard deviation is 0.87 lbs. Assume the weight of newborn babies has approximately normal distribution. a. Find the margin of error for the 95% confidence interval for the mean weight of all newborn babies at this hospital. b. Use information from part (a) to fill in the blanks in the following sentence: __________ of all samples of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT