(a) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is between $553 and $707 (b) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is greater than $757. (c) Do you think the assumption of normality is reasonable? Explain. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is 2 30. O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is 2 30. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30. O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is < 30.

(a) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is between $553 and $707 (b) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is greater than $757. (c) Do you think the assumption of normality is reasonable? Explain. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is 2 30. O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is 2 30. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30. O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is < 30.

Name: According to the June 2004 Readers' Digest article "Only in America,"
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: According to the June 2004 Readers' Digest article "Only in America," the average amount that a 17-year-old spends on his or her high school prom is $638 Assume that theamounts spent are normally distributed with a standard deviation of $173. (Give

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Weights

A: Normal probability plot is one of the technique to assess whether the data follows normal…

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: Detailed explanation:Step 1: Calculate the Mean of x and…

Q: #of Occupants 1 2 3 0.70 0.15 0.10 0.03 0.02 What is the mean number of occupants in a vehicle? 45…

A: given data, here data table and their probabilities are given we have to find out the mean for the…

Q: A research firm conducted a survey to determine the average amount of money consistent smokers spend…

A: We have given that, Let X be a random variable from normal distribution with mean(μ) = 20 and…

Q: The amount of corn chips dispensed into a 18-ounce bag by the dispensing machine has been identified…

Q: Waiting times for customers in an airline reservation system are (in seconds) 953, 955, 948, 951,…

A: Data953955948951957949954950959

Q: The population mean annual salary for an electrician is $46,700.A random sample of 42 electricians…

Q: The average amount of hours Americans sleep a night is a type of which statistic? a.Inferential…

A: We know that the Average value or Arithmetic mean is a type of central tendency of data that comes…

Q: B. Standard Deviation = 2.8532 The cost of parking is 3.25 dollars per hour. Calculate the mean and…

A: It is given that the probability distribution in tabulated form.

Q: Fill in the blank. Suppose the round-trip airfare between Philadelphia and Los Angeles a month…

Q: A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine…

A: Given that, a brewery claims that the mean amount of beer in their bottles is at least 12 ounces.

Q: Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned)…

A: The provided information are: Population mean μ=32Population standard deviationσ=9

Q: Ryan believes that his mother’s houseplants would grow taller if she watered with rainwater instead…

A: Test is that whether the mother’s houseplants would grow taller if she watered with rainwater…

Q: 84 tires in a factory are tested for defectiveness. 12% of tires made in the factory are defective.…

A: From the provided information, Sample size (n) = 84 tires 12% of tires made in the factory are…

Q: 1. Define expected value of the mean:

A: In this question we will explain expected value of the mean

Q: Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures…

A: Given information- For the year 2001- Population mean, µ = $235 Population standard deviation, σ =…

Q: Suppose that the amount of a weekly grocery bill of all households in a metropolitan area is…

A: Mean = 140 Sample standard deviation = 35 Sample size = 49 Using standard normal distribution.

Q: A dentist hypothesizes that the average time a child spends brushing their teeth is less than 60% of…

A: In the given situation, the claim of the problem is "the average time a child spends brushing their…

Q: A researcher is testing the effect of a new flu vaccine on absenteeism from work. A sample of n=9…

A: Given information- The population mean, μ = 4 per year Sample size, n = 9 Significance level, α =…

Q: sample of 31 years of rainfall for California and a sample of 49 years of rainfall for New York has…

A: Given information for State of California: Mean, μ=22. Standard deviation, σ=4. Sample size, n=31.…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: Suppose the round-trip airfare between Boston and Orlando follows the normal probability…

A: Step 1: Given informationMean = $387.20Standard deviation = $68.50The distribution used is normal…

Q: To avoid unpleasant surprises when the statement comes, you try to record all your credit card…

A: Let us define a Bernoulli random variable Xi such that, Xi=1 the ith purchase is unrecorded0…

Q: Classify the hypothesis test as two-tailed, lefttailed, or right-tailed. A manufacturer claims that…

A: A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.1 ounces.

Q: A manager of a popular retail store knows that the distribution of purchase amounts by its customers…

A: GivenMean(μ)=28standard deviation(σ)=9

Q: II. NORMAL PROBABILITY DISTRIBUTION a. The selling prices of home in a certain community is such…

Q: A soda company claims that the mean amount of soda in their bottles is 12 ounces. Determine whether…

A: Given, A soda company claims that the mean amount of soda in their bottles is 12 ounces. The…

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

100%

According to the June 2004 Readers' Digest article "Only in America," the average amount that a 17-year-old spends on his or her high school prom is $638 Assume that the
amounts spent are normally distributed with a standard deviation of $173. (Give your answers correct to four decimal places.)
(a) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is between $553 and $707.
(b) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is greater than $757.
(c) Do you think the assumption of normality is reasonable? Explain.
O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is > 30.
O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is > 30.
O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30.
O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is < 30.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

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

Similar questions

When will I see the credit? In a random sample of 170 customers, 90 ordered chicken sandwitches for lunch. In a recent study reported Sept. 21, 1952 on the Flurry Blog, the mean age of tablet users is 34 years. Suppose the standard deviation is 15 years. Take a sample of n = 100. Find the probability that at least 150 favor a charter school.
A. If 75% of high school students are able to pass a stats test, find the mean, variance, and standard deviation for the number of students who pass the test in a sample of 150 students. B. What is the probability that just you will not pass this test, if all 22 students take the test?
Media experts claim that daily print newspapers are declining because of Internet access. Listed below, from left to right and then top to bottom, are the numbers of daily print newspapers in a large region for a recent sequence of years. First find the median, then test for randomness of the numbers above and below the median using a = 0.05. What do the results suggest? 1620 1593 1570 1554 1547 1539 1524 1513 1488 1485 1477 1467 1455 1454 1455 1446 1433 1428 1408 1391 1380 The median is (Type an integer or a decimal. Do not round.) ~
need help please
Please use the approporate stats table provided. Do not use a software for this problem. Q17: If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be:a. No accidents b. One accident c. Two or more