Given the following measurements from a normal distribution: 8.6, 16.7, 18.5, 11.7, 9.7 a) Use the t-distribution to find the 80% confidence interval for the mean. b) Find the 80% confidence interval for the variance.

Given the following measurements from a normal distribution: 8.6, 16.7, 18.5, 11.7, 9.7 a) Use the t-distribution to find the 80% confidence interval for the mean. b) Find the 80% confidence interval for the variance.

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...

See similar textbooks

Related questions

Q: 1988, on the math SAT, the males taking the exam averaged about 500, while the females averaged…

A: Excel function =NORMSDIST() and NORMSINV()

Q: om's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution. The…

A: Given that The Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal…

Q: Consider the following sample data. Sample A: 10, 17, 24 Sample B: 68, 75, 82 Sample C:…

A: There are three samples given. Sample A 10, 17, 24 Sample B 68, 75, 82 Sample C 1035, 1042,…

Q: Consider the following data and calculate the standard deviation. 6.24, 6.21, 6.24, 6.28

A: The mean is, μ=∑XN=6.24+6.21+6.24+6.284=24.974=6.2425 The mean is 6.2425.

Q: Calculate the standard deviation and variance of the sample data shown, to two decimal places x…

A: The following data has been provided: 20.7,15.2,2.5,3.8,17.9 The sample size is n=5

Q: Dr. Samwell Tarly wants to estimate the number of books checked out of the library in the past year.…

A: It is given that the mean is 10,000 and the standard deviation is 10.

Q: Find the standard error, t statics Sample variance = .67 Sample size = 30 Population size = 60…

A: Given information- Sample variance, s2 = .67 So, sample standard deviation, s = 0.819 Sample size, n…

Q: z-score Percentile z-score Percentile z-score Percentile -3.0 0.13 -2.0 2.28 -1.0 15.87 -2.9 0.19…

A: It is given that Mean = 24.8 Standard deviation = 2.5 Z-Score, Z = ( X - μ )/σ

Q: A population has a mean µ = 84 and a standard deviation o = 29. Find the mean and standard deviation…

A: Suppose the variable of interest is x. It is given that; x has mean µx = 84 and the standard…

Q: Consider a sample with data values of19,5,17,4, and 20. Compute the variance. (to 1 decimal)…

A: The computational formula for sample variance is:…

Q: Sample A: Sample B: Sample C: 5, 11, 17 76, 82, 88 1,075; 1,081; 1,087 (a) Find the mean and…

A: Given three sample data as follows: Sample A: 5, 11 and 17 Sample B: 76, 82 and 88 Sample C: 1075,…

Q: The weights for a group of 18-month-old girls are normally distributed with a mean of 24.7 pounds…

A: Mean = 24.7Standard deviation = 2.8Raw score = 29.3

Q: Check the following data for normality by finding nor-mal scores and making a normal-scores plot:…

Q: To find the impact of students working while enrolled in classes, a researcher carried out a survey…

A: A statistic is the estimator of a particular parameter of the population.For eg. The sample mean is…

Q: The annual earnings of 25 people with a high school diploma and 16 people with an associate’s degree…

A: We have given that High School Diploma Associates degree X1 = $36,875 X2= $44,900 S1= $5475…

Q: Assume that the values x below, represent data collected for a population. Calculate the summary…

A: For the given data mean =? s.d =? variance =?

Q: The sample data below represent a variable, X: 3.5 7.6 1.9 2.3 1.8 4.7…

A: Given The data is as follows: X 3.5 7.6 1.9 2.3 1.8 4.7 3.4

Q: Find the mean, variance, and standard deviation of the sampling distribution of the sample…

A: Given: n = 241 p = 0.6 Formula Used: Mean = np Variance = np(1-p) Standard deviation = np(1-p)

Q: You are performing a TWO-tailed significance test on a mean based on a sample size of 11. You…

A: Obtain the P-value bounds for the given value of t. The correct option is identified below as…

Q: A cample mean is computed from a population with a variance of 2.45. The sample size is 40. The…

A: Given,variance(σ2)=2.45standard deviation(σ)=2.45sample size(n)=40

Q: the range, variance, and standard deviation for the given sample data. Include appropriate units in…

Q: alculate (by hand) sample variance (SD2) and sample standard deviation (SD) of the distribution:…

A: The given data is 6, 8, 39, 36, 2, 36, 2, 20

Q: You are performing a ONE-tailed significance test on a mean based on a sample size of 11. You…

A: Obtain the P-value bounds for the given value of t. The correct option is identified below as…

Q: A marketing study was conducted to compare the variation in the age of male and female purchasers of…

A: According to the given information, we have Female: Sample size = 31Sample mean = 50.30Sample…

Q: Calculate the standard deviation and variance of the sample data shown, to two decimal places x 1.4…

A: Sample standard deviation: 1.4 1.96 1.3 1.69 21.3 453.69 4.2 17.64 1.9 3.61 15.2…

Q: Given the following information of a sample data, calculate the variance and standard deviation:…

A: n=8

Q: Calculate the variance and standard deviation of the following sample data sets: a.…

Q: in a population of Yorkshire hogs, sample statistics indicate the following: Average Days to 250…

A: The question is about normal distribution.Given :Population average days ( ) = 160Population…

Q: Determine the following:a. The value of a consistent with N = 6 in moving averages.b. The value of N…

A: a) Consider the relation N+12=1αα=2N+1N=2α-1 The required value is calculated as follows: α=2N+1…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Given the following measurements from
a normal distribution:
8.6, 16.7, 18.5, 11.7, 9.7
a) Use the t-distribution to find the 80%
confidence interval for the mean.
b) Find the 80% confidence interval for
the variance.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

bit a

VIEW

bit b

VIEW

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Calculate the observed z value using a sample mean of 25, a population average of 20, and a standard error of the mean of 8.
What technique compares dispersion with the average of data? Select one: a. Standard deviation b. Process capability c. Variance d. Coefficient of variation
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
Two accounting professors decided to test if the variance of their grades is different or no. To accomplish this, they each graded the same 10 exams with the following results: Standard Deviation 22.4 Mean Grade Professor 1 79.3 Professor 2 82.1 12.0 F What is the P-value of the test? Select one: a. between 0.01 and 0.025 Ob. between 0.025 and 0.05 C. between 0.05 and 0.10 Od. bigger than 0.10
light examined data on employment and answered questions regarding why workers separate from their employes. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable, do the following tasks. A. determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning B. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks
A sample of n = 64 scores has a mean of M = 45 and an estimated standard error of 3 points. What is the sample variance? Select one: a. s2 = 113 b. s2 = 576 c. s2 = 498 d. s2 = 502
The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table 10.4 shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5% level of significance. Engine Sample Mean Number of RPM Population Standard Deviation 1 1,500 50 2 1,600 60