The diameter of holes for a cable harness is known to have a normal distribution with o = 0.03 inches. A random sample of size 12yields an average diameter of 1.5045 inches. Find a 95% two-sided confidence interval on the mean hole diameter. Round the answersto 4 decimal places.iiStatistical Tables and Charts

The random variable diameter of holes follows normal distribution. The population standard deviation…

Answered: The diameter of holes for a cable…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In the entire population of a certain type of tree, the mean height of the trees is μ = 168.8 ft and the standard deviation is σ = 43.6 ft. You collect a random sample of n=22 trees. The distribution of these sample means is shown below. Each tick mark on the horizontal axis is a distance of one more standard error. Complete the indicated boxes, correct to two decimal places. mean of distribution=168.8 standard error=9.30 Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
A population has a mean μ = 73 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. Hx ox (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)
A recent personalized information sheet from your wireless phone carrier claims that the mean duration of all your phone calls was μ=3.1 minutes with a standard deviation of σ=2.4 minutes. From a random sample of n=50 calls, your parents computed a sample mean of x=4.1 minutes and a sample standard deviation of s=3.2 minutes. Complete parts a through e below. a. Sketch the population distribution for the duration of your phone calls. What are its mean and standard deviation? b. What are the mean and standard deviation of the data distribution? c. Find the mean and standard deviation of the sampling distribution of the sample mean. d. Is the sample mean of 4.1 minutes unusually high? Find its z-score and comment. e. Your parents told you that they will kick you off the plan when they find a sample mean larger than 4.2 minutes. How likely is this to happen? P(x>4.2 minutes)= ?
In a population of a certain species of newt, the mean length of the newts is μ= 63 inches and the standard deviation is σ= 3.4 inches. You collect a random sample of n=16 newts. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. mean of distribution= standard error= Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
A random sample of 15 exam scores showed a standard deviation of 6.0 points. Find the 95 percent confidence interval for the population standard deviation. Use Appendix E to obtain the values of χ2LχL2 and χ2UχU2 . (Round your answers to 2 decimal places.) The 95% confidence interval is from ______ to __________ .
Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
The pulse rates of 177 randomly selected adult males vary from a low of 35 bpm to a high of 103 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate 6. n3= (Round up to the nearest whole number as needed.) b. Assume that o = 11.9 bpm, based on the value s = 11.9 bpm from the sample of 177 male pulse rates. n=D (Round up to the nearest whole number as needed.) c. Compare the results from parts (a) and (b). Which result is likely to be better? The result from part (a) is larger than the result from part (b). The result from part (b) is likely to be better because it uses a better estimate of o.
The random sample of n=75�=75 yielded a sample mean of x¯=26�¯=26.Assume that we know the population standard deviation is σ=30�=30. Step 2 of 3 : Calculate a 95% confidence interval for the population mean. Round your answers to 2 decimals places.
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The diameter of holes for a cable harness is known to have a normal distribution with o = 0.03 inches. A random sample of size 12 yields an average diameter of 1.5045 inches. Find a 95% two-sided confidence interval on the mean hole diameter. Round the answers to 4 decimal places. sHs i