In a random sample of twelve people, the mean driving distance to work was 21.3 miles and the standard deviation was 7.3 miles. Assume thepopulation is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ.Interpret the results.Identify the margin of error.(Rolsquare milesmiles per hourmiless needed.)

Given, sample size n = 12, mean and standard deviation .Given 99% confidence intervalDegree of…

Answered: In a random sample of twelve people,…

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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A population has a mean μ=88 and a standard deviation σ=28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=49. μx= (Simplify your answer.)
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38beats per minute, the mean of the listed pulse rates is x =73.0 beats per minute, and their standard deviation is sequals=23.2 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
The marks of six students in a science test are represented by the variable x. The following data was produced: n=6, Σx = 279 and Σx2 = 13 093.Find the mean and standard deviation.
Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.04 mm and a standard deviation of 0.54 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 8.8 mm and 7.3 mm. Round your answers to two decimal places. a. Find the standardized version of x. X- 8.04 0.54 (Do not simplify. Use integers or decimals for any numbers in the expression. Do not round.) b. Determine and interpret the z-scores for thumb lengths of 8.8 mm and 7.3 mm. Round your answers to two decimal places. Determine and interpret the z-score for a thumb length of 8.8 mm. The z-score for a thumb length of 8.8 is |. This is standard deviations the mean thumb length. (Round to two decimal places as needed.)
A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
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A biologist is attempting to determine the mean weight of African elephants. She conducts a sample of 60 elephants, and finds a sample mean of 8954 lbs., with a standard deviation of 127 lbs. Assume that the distribution of weights of African elephants is nearly normal.Define your variable: Let μμ be the mean weight of all African elephants, in lbs.. Let μμ be the mean weight of the sampled African elephants, in lbs.. Let p be the proportion of elephants that weigh . Let p be the proprotion of elephants in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and lbs.What is the margin of error? Round your answer to one decimal place. lbs.Another biologist believes that the mean weight of elephants is 89898989. What do you think of this claim? That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It is reasonable. The…
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.28 mm and a standard deviation of 0.78 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 10.3 mm and 7.1 mm. Round your answers to two decimal places. a. Find the standardized version of x. z=enter your response here
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