The height of a population of students have mean 171 cm and standard deviation 32. (a) If a sample of 46 students is selected, approximate the probability that the sample mean of their heights lies between 165 and 176 cm. (b) Repeat the first part (part a) if the sample size is 152.

The height of a population of students have mean 171 cm and standard deviation 32. (a) If a sample of 46 students is selected, approximate the probability that the sample mean of their heights lies between 165 and 176 cm. (b) Repeat the first part (part a) if the sample size is 152.

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: A researcher studying stress is interested in the blood pressure measurements of chief executive…

Q: Solve step by step in digital format 10.- The results obtained in an exam given to 500 students are…

A: Given data normal distrributionμ = 40σ = 10P(30<x<60) = ?

Q: Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of…

A: Sample size(n)=25mean()=$232Standard deviation()=$63

Q: A research company wants to estimate the mean IQ score for the population of all high school…

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

Q: After 6 points have been added to every score in a sample, the mean is found to be M = 70 and the…

A: 15.a.Given:New mean M=70New Standard deviation s=3Constant added=6The addition of constant value to…

Q: Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of…

A: here original population is normally distributed. therefore sampling distribution of sample mean…

Q: 2. The heights are measured for a simple random sample of 9 supermodels. They have a mean of T =…

Q: After a researcher adds 6 points to every score in a sample, the standard deviation is found to be s…

A: The question is about change of origin.Introduction :Change of origin :If a no. is added /…

Q: A group of data has a mean of 65 with a standard deviation of 5. What z-score is possible if the…

A: According to the provided information,

Q: A particular fruit's weights are normally distributed, with a mean of 522 grams and a standard…

A: GivenMean(μ)=522standard deviation(σ)=32sample size(n)=20

Q: The average monthly income of public school teachers is Php25,000 with standard deviation of Php800.…

Q: A researcher studying stress is interested in the blood pressure measurements of chief executive…

A: The test to be carried out will be- H0:μ is 132 H1:μ is less than 132 Type-II error occurs when the…

Q: For a frequency distribution of marks in Sociology of 200 candidates (grouped in intervals 05.5…

Q: For males born in upstate NY, the gestation times are normally distributed with a mean of 39 weeks…

A: Given, for males born in upstate NY, the gestation times are normally distributed with a mean of 39…

Q: All of the accountants at a small paper company are required to take the same accounting exam to…

Q: weighs 170 lbs with a standard deviation of 8 lbs and the average female tennis player weighs 125…

Q: The probability of winning a certain lottery to stay in a lodge near Antelope Valley Canyon is 1 For…

Q: A statistic professor at an all-men's college determined tha the standard deviation of men's heights…

A: Here, the problem is about testing whether the standard deviation of female height is greater than…

Q: level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.9 grams…

A: Formula : σ_x̄ = σ/√n

Q: To qualify for a police academy, applicants are given a test of physical fitness. The scores are…

A: Given : mean (μ ) = 62 standard deviation (σ) = 7 σ² = 49

Q: What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the…

A: Claim is that the mean systolic blood pressure of CEOs of major corporation is less than 134 mm Hg.…

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: The mean and standard deviation of 20 items was found to be 10 and 2 respectively. Later it was…

Q: The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as…

Q: Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and…

Q: For a population with = 150, a raw score of X = 125 corresponds to z = -2.00. What is the standard…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: 4. Normally, the mean weight of MFU students is 60 kg, please find the probability to obtain the…

Q: What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the…

A: Given Population Mean, μ=136 Sample Mean, x=130 Sample sd, s=15

Q: Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a…

A: Sample size n =18Standard deviation s=12NOTE:- According to bartleby guidelines expert can solve…

Q: Male and female populations of to under 80 years old are represented by age in the table below.…

A: The question is about frequency distribution.Given :

Q: The mean of the population is 50. The standard deviation is 10. (a) What is the probablity that a…

Q: The odds difference = exp((0.15*20)-(0.15*30)), the standard error(se) = 0.06 which is on the scale…

A: From the given information, Consider, odds difference = exp((0.15*20)-(0.15*30)) and standard…

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 175…

Q: average score that can be obtained on a standardized test at your school is 114with a standard…

A: Sample size n =18Standard deviation s=12NOTE:- According to bartleby guidelines expert can solve…

Q: The time needed for college students to complete a certain paper and pencil maze follows a Normal…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

The height of a population of students have mean 171 cm and standard deviation 32.

(a) If a sample of 46 students is selected, approximate the probability that the sample mean of their heights lies between 165 and 176 cm.

(b) Repeat the first part (part a) if the sample size is 152.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 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

to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 66 and a standard deviation of 10 . If only the top 13% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. Cutoff score
The Michelin tires in average will last for 60000 miles. A technician claims that the deviation of mileage for wearied off tires is 25000 miles. If 16 such tires are tested, find the probability that for those tires the average wearied off mileage is between 55000 and 65000 miles.
If the population average height is 67" and you take a random sample of 25 people resulting in a sample average value of 66 with a standard deviation of 2. Determine the "t" score that you would use as a test score for this data, and solve it for "t".
The masses of 250 students are normally distributed with mean 65kg and standard deviation 4kg. Then how many students have masses between 63kg and 73kg.
Suppose the masses of a batch of 2000 potatoes have a mean of 60 grams with a standard deviation of 8 grams. Assuming the weights have a normal distribution, predict the number of potatoes that would have masses between 45 and 55 grams. Sketch the distribution curve, shade the required probability, and show horizontal scales the population parameters and the z-scores. Solve the problem
A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, H, of CEOS of major corporations is less than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 128 mm Hg and the standard deviation of the sample to be 16 mm Hg. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? |Ho: H is ? |H,: µ is ? In the context of this test, what is a Type II error? A Type II error is ? fact, µ is ? v the hypothesis that u is ? when, in Suppose that the researcher decides not to reject the null hypothesis. What sort of error might he be making? ? Continue Save For Later Submit…
A quantity measured 50 times results in a mean x=23.345 +/- 0.0022 What is the standard deviation? What number of measurements will cut the standard deviation of the mean half? If a 100 measurement are taken, what is the new standard deviation?
Among 157 Cuban American men ,the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if based on these data, we may conclude that the mean systolic blood pressure for a population of Cuban American is greater than 140. Use α=0.01 (solve without excel) , show work
The arithmetic mean and standard deviation of a series of 20 items were calculated by á/ student as 20 cm and 5 cm. respectively. But while calculating them an item 13 was misread as 30. Find the correct arithmetic mean and standard deviation.