A more extensive tabulation of t critical values than what appears in this bookshows that for the t distribution with 20 df, the areas to the right of the values .687,.860, and 1.064 are .25, .20, and .15, respectively. What is the confidence level foreach of the following three confidence intervals for the mean μ of a normalpopulation distribution? Which of the three intervals would you recommend beused, and why?a. (x - .687s/√/21, x +1.725s/√21)b. (x-.860s/√/21, x +1.325s/√/21)c. (x - 1.064s/√√21, x + 1.064s/√/21)

We have given information, The t-distribution has 20 degrees of freedom. The critical value of…

Answered: A more extensive tabulation of t…

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 fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 225 members were looked at and their mean number of visits per week was 2.1 and the standard deviation was 1.9. Round answers to 3 decimal places where possible. a. With 90% confidence the population mean number of visits per week is between and visits. b. If many groups of 225 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week.
QUESTION 2 A research study reported a 95% confidence interval for the mean time of hip surgeries based on a sample of 91 patients as (116 minutes, 138 minutes). Which of the following statements is correct about the given interval? A. Incorrect B. Correct The mean time of hip surgeries of the 91 patients in the selected sample falls between 116 and 138 minutes. ✓The mean time of hip surgeries of any sample of 91 patients will fall between 116 and 138 minutes. 95% of hip surgeries take between 116 and 138 minutes. We are 95% confident that the mean time of hip surgeries will be between 116 and 138 minutes.
Use the following information to answer the two exercises: The following data are the results of a random survey of 110 respondents about their shopping behaviour. The question was: How often do you go grocery shopping per week? Construct a 95% confidence interval for the true population mean number of grocery shoppings. Assume the underlying population is approximately normal. The sample variance calculated from the frequency table is 1,5. Number of Frequency shoppings 11 1 27 2 33 3 20 4 19 а. (2,0; 2,5) b. (1,8; 2,3) c. (1,9; 2,5) d. (1,8; 2,4)
Here are summary statistics for randomly selected weights of newborn girls: n=157, x=29.4 hg, s=6.7 Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 28.8 hg<μ<31.0 hg with only 20 sample values, x=29.9 hg, and s=2.4 hg? What is the confidence interval for the population mean μ? nothing hg<μ<nothing hg (Round to one decimal place as needed.)
The following information is obtained for a sample of 80 observations taken from a population. SS xx 370.842, se = 0.922, and y = 164.43 - 2.83x Make a 97 % confidence interval for B. = Round your answers to two decimal places. The 97 % confidence interval for Bis ( i ).
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You are trying to estimate the population mean p after taking a random sample from that population. Which of the following best represents a Margin of Error of about +/- 5% around the sample mean X? In other words, which best represents "95% confidence interval" around the observed mean, X? (In this notation, +/- stands for "plus or minus"; SD stands for "standard deviation"; and SE stands for "standard error.") p=X +- 2(SE) H= 2(SE) +/- X p =X+- 2(SD)
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
A manufacturer claims that the light bulbs that they produce have a mean lifetime of 1,200 hours and standard deviation of 400 hours. A random sample of size 50 is selected and the sample mean, , is calculated. Let the sample mean, .be an estimator of the population mean H. Which of the following statements are true? Select one or more: O a. The distribution of is approximately normal Ob. X is an unbiased estimator of u O c. The variance of is o?/n. where g? is the population variance and n is the sample size. Od. K is a consistent estimator of
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Here are summary statistics for randomly selected weights of newborn girls: n=217, x=31.7hg, s=6.5hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 29.6hg<μ<32.6hg with only 17 sample values, x=31.1hg, and s=2.4hg? What is the confidence interval for the population mean μ? hg < μ < hg (Round to one decimal place as needed.)
Here are summary statistics for randomly selected weights of newborn girls: n = 171, x = 29.8 hg, s = 6.8 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 28.0 hg

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