Question

2. A random sample of 25 male runners has a mean of ¯ x = 60...

2. A random sample of 25 male runners has a mean of ¯ x = 60 and standard deviation s = 3 kilograms (kg). Suppose that the mean weights of male runners follow a normal distribution with unknown mean µ and unknown standard deviation σ kg. Find a 90% confidence interval for µ. (10 pts.)

Homework Answers

Answer #1

Confidence interval calculation.

Here 90% confidence that population mean of weights  lies between 59 to 61 kg

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
2. A random sample of 25 male runners has a mean of ̄x= 60 and standard...
2. A random sample of 25 male runners has a mean of ̄x= 60 and standard deviation s = 3 kilograms(kg). Suppose that the mean weights of male runners follow a normal distribution with unknown mean μ and unknown standard deviation σkg. Find a 90% confidence interval for μ. (10 pts.)
Problem 6. A random variable x has a Normal distribution with an unknown mean and a...
Problem 6. A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a random sample of size n = 36 and find a sample mean of "x-bar" = 98. What is a 95% confidence interval for the mean of x?
A random sample of size 36 has sample mean 12 and sample standard deviation 3. (a)...
A random sample of size 36 has sample mean 12 and sample standard deviation 3. (a) Check Requirements: Is it appropriate to use a Student’s t distribution to compute a confidence interval for the population mean ? Explain. (b) Find a 80% confidence interval for µ. [round E to 2 d.p.] (c) Interpretation: Explain the meaning of the confidence interval you computed.
Suppose a random sample of 12 male runners of college-age gave a mean weight of 151...
Suppose a random sample of 12 male runners of college-age gave a mean weight of 151 lbs with a standard deviation of 9 lbs. We would like to know whether or not the population from which this sample was selected has a lower mean weight than 160 lbs which is the mean weight of the population of college-aged males as a whole. The value of the t-statistic for testing the hypotheses of interest is t = -3.5. What is the...
A sample of size 20 is drawn from a normal distribution with unknown variance and unknown...
A sample of size 20 is drawn from a normal distribution with unknown variance and unknown mean µ. The sample mean is ¯ x = 1.25 and the sample standard deviation is s = 0.25. The 99% lower confidence bound on µ is A. 1.108 ≤ µ B. 1.120 ≤ µ C. µ ≤ 1.392 D. µ ≤ 1.380
A random variable X is normally distributed. It has a mean of 254 and a standard...
A random variable X is normally distributed. It has a mean of 254 and a standard deviation of 21. List the givens with correct symbols: ? (σ N X̄ μ s X p n) = 254 ? (X̄ n σ s X p μ N) = 21 a) If you take a sample of size 21, can you say what the shape of the sampling distribution for the sample mean is?   ? Yes No Why or why not? Check all...
4. By using the information provided below, find a t–confidence interval for the mean of the...
4. By using the information provided below, find a t–confidence interval for the mean of the population from which the sample was drawn. [4 points] (a) ¯ x = 20, n = 36, s = 3, confidence level = 95%. (b) ¯ x = 35, n = 25, s = 4, confidence level = 90%. 5. A 95% confidence interval for a population mean, µ, is given as (18.985,21.015). This confidence interval is based on a simple random sample of...
A random sample of 200 students in a statistics class revealed a mean test score of...
A random sample of 200 students in a statistics class revealed a mean test score of 78. If the standard deviation of the population was 5.5, find the 90% confidence interval for the unknown population mean test score.
A random variable ?x has a Normal distribution with an unknown mean and a standard deviation...
A random variable ?x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a random sample of size ?=36n=36 and find a sample mean of ?¯=98x¯=98 . What is a 95% confidence interval for the mean of ?x ? (96.355,99.645)(96.355,99.645) (97.347,98.653)(97.347,98.653) (94.08,101.92)(94.08,101.92) (74.48,121.52)
Suppose x has a distribution with μ = 25 and σ = 2. (a) If random...
Suppose x has a distribution with μ = 25 and σ = 2. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μx = 25 and σx = 0.5.No, the sample size is too small.     Yes, the x distribution is normal with mean μx = 25 and σx = 2.Yes, the x distribution is normal with mean μx = 25...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT