The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car.Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffaloresidents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation ofthe population (Boston residents) is 8.2 miles a day.Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston ResidentsHo : 1 – H2 = 0H : H1 - 42 0At alpha = 0.05 what is your conclusion?0.05-3.6 0002 0002 0001 0001 .0001 .0001 000 0001 .0001 00010.010.020.040.060.070.090.000.030.08-3.5.00020002.00020002.0002.00020002.0002.00020002-3.4 0003.0003.0003 0003 .0003 00030003 0003 0003 0002-33 000500050005 0004 .0004 .00040004 00040004 0003-32 0007-3.1 0010.00070006 0006 .0006 .00060006 0005.0005 00050009.0009 0009 .0008 .00080008 0008 0007 0007-3.0 0013-29 0019„00130013 0012 .0012 .00110011.00110010 0010.001800180017.0016.00160015001500140014-280026002500240023.0023002200210021.00200019

Name: The U.S. Department of Transportation provides the number of miles th
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car.Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviatio

There are two independent populations. Those which are named as Buffalo residents and Boston…

Math

Statistics

The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of the population (Boston residents) is 8.2 miles a day. Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents Ho : H1 - H2 = 0 H : 1 – 42 +0 At alpha = 0.05 what is your conclusion?

The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of the population (Boston residents) is 8.2 miles a day. Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents Ho : H1 - H2 = 0 H : 1 – 42 +0 At alpha = 0.05 what is your conclusion?

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: The average salary for a certain profession is $63,000. ASsume that the standard deviation of such…

A: Let X be the salaries of the profession. The mean and standard deviations of X are $63000 and $34500…

Q: Jason took his Siberian Husky dog to the veterinarian. The dog was put on a scale and found to weigh…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Suppose that the weights of candy bars vary according to a normal distribution, with mean of 62…

A: The question is about normal dist. Given : The mean weights of candy bars ( μ ) = 62 g The std.…

Q: What percentage of students from this school earn scores that satisfy the admission requirement?…

A: It is given thatMean, μ = 1490Standard deviation, σ = 296Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: Private high schools often have entrance exams to assess the educational background of perspective…

A: Given Information: Brayden scored 174 on the Xavier high school admissions exam. Brayden scored 290…

Q: A state administered standardized reading is given to eighth grade students. The scores for all…

A: Mean(μ)=517 Standard deviation(σ)=63

Q: A particular fruit's weights are normally distributed, with a mean of 497 grams and a standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The We Go Farther Tire Company advertises a tire that lasts for 80,000 miles. The mileage for the…

Q: A study found out that for a particular area, the average income per family is $24596 and the…

A: Solution

Q: The average McDonald's restaurant generates $2.3 million in sales each year with a standard…

A: Here, population standard deviation is known, so we can perform a z-test .

Q: The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a…

A: 69.5 2.62 64.4 2.53 American woman:

Q: Ojai is a weather station in the state of California and Seabrook is a weather station in the state…

A: Given information- We have given the data of noontime temperatures recorded among weather stations…

Q: video game c

A: given, sample size(n) = 1500 sample mean (x̄) = 115 sample stadard deviation (s) = 11

Q: The average McDonald's restaurant generates $3.4 million in sales each year with a standard…

Q: A gym class is taking a fitness test. The gym teacher is recording how many sit-ups the participants…

Q: Two different species of trees have heights that are approximately normal in distribution. Tree A…

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: A particular fruit's weights are normally distributed, with a mean of 377 grams and a standard…

A: Find z-value: Note: The total area under the normal curve is 1. Area to the left of z under the…

Q: Suppose phone bills have a mean of $78 and a standard deviation of $8. How much would a phone bill…

Q: A particular fruit's weights are normally distributed, with a mean of 361 grams and a standard…

A: From the provided information,

Q: A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose…

A: a) If the histogram is skewed right, there should be large sample size to make sure that the…

Q: A study conducted by the Center for Population Economics at the University of Chicago studied the…

Q: have a mean GPA of 2.57 with a standard deviation of 0.71. how many of the 850 new students have a…

A: Given that. X~N( μ , ?) μ=2.57 , ?=0.71 Z-score =( x - μ )/?

Q: Suppose that the mean of a set of data is 50.2 and the standard deviation is 4.2. Assume that the…

A: Given μ=50.2, σ=4.2, h=5.1 We want to find the new mean and standard deviation.

Q: e. Compare the results of parts (a) through (d) to those when the standard deviation is 0.030. When…

A: We have given that e) standard deviation sigma =0.030 , ZSTAT= -1.24 and p-value =0.216 99%…

Q: Lightbulbs are measured in lumens (light output), watts (energy use), and hours (life). A standard…

A: Given:- Standard white light bulb mean = 675 hours…

Q: The employee e-mail accounts in one company are using a mean of 1.07 gigabytes of memory with a…

A: We have to find given mean and sd.

Q: A particular fruit’s weights are normally distributed, with a mean of 700 grams and a stand…

Q: On a standardized exam, the score are normally distributed with a mean of 300 and a standard…

A: X~N( μ , ?) μ=300 , ?=25 Z-score =( x - μ )/?

Q: The monthly incomes of trainees at a local factory are normally distributed with a mean of $1600 and…

Q: A particular fruit's weights are normally distributed, with a mean of 349 grams and a standard…

A: Let X be the particular fruits weight. The Mean is μ=349. The standard deviation is σ=36.

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

The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car.
Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo
residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of
the population (Boston residents) is 8.2 miles a day.
Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents
Ho : 1 – H2 = 0
H : H1 - 42 0
At alpha = 0.05 what is your conclusion?
0.05
-3.6 0002 0002 0001 0001 .0001 .0001 000 0001 .0001 0001
0.01
0.02
0.04
0.06
0.07
0.09
0.00
0.03
0.08
-3.5
.0002
0002
.0002
0002
.0002
.0002
0002
.0002
.0002
0002
-3.4 0003
.0003
.0003 0003 .0003 0003
0003 0003 0003 0002
-33 0005
0005
0005 0004 .0004 .0004
0004 0004
0004 0003
-32 0007
-3.1 0010
.0007
0006 0006 .0006 .0006
0006 0005
.0005 0005
0009
.0009 0009 .0008 .0008
0008 0008 0007 0007
-3.0 0013
-29 0019
„0013
0013 0012 .0012 .0011
0011
.0011
0010 0010
.0018
0018
0017
.0016
.0016
0015
0015
0014
0014
-28
0026
0025
0024
0023
.0023
0022
0021
0021
.0020
0019

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

A magazine recently published an article that stated the population mean amount young adults from a certain city spend per week on food is exactly $150. Eric, a college student who resides in the city, believes that the population mean is greater than $150 per week. He selects a representative sample of 110 young adults and finds out how much each person spends on food per week. He calculates the sample mean to be $156.45 with a sample standard deviation of $26.62. The test statistic ț for a hypothesis test of Ho : μ = 150 versus Ha : μ 〉 150 ist 2.54. If 0.005 〈p-valueく0.01 and the level of significance is α = 0.10, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount young adults from the city spend per week on food is greater than $150? Select all that apply: Fail to reject the null hypothesis that the true population mean amount young adults from the city spend per week on food is equal to $150 Reject the…
A particular fruit's weights are normally distributed, with a mean of 767 grams and a standard deviation of 39 grams.The heaviest 11% of fruits weigh more than how many grams?Give your answer to the nearest gram.
Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of 7 pounds. James samples 40 Americans and finds and average of 14 pounds. How likely is it to get an average of 14 pounds if he had a representative sample?
In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard deviation of that data set?
According to the Nielsen Company the mean number of TV sets in a US household in 2013 was 2.24. Assume the standard deviation is 1.3. A sample of 95 household is drawn. Would it be unusually for the sample mean to be less than 2?
A successful basket ball player has a height of 6 feet 4 inches. Based on statistics his height converts to the z score 2.66. How many standard deviations in his height above the mean
A person records the speeds of various cars as they drive past their house. After 100 readings, the speeds of the cars are normally distributed with a mean of 23.84 mph and a standard deviation of 3.56 mph. a. If a car's speed has a z-score of -2, what speed was that car going? b. Calculate the z-score for a car that is driving at 28 mph. c. One car is observed as driving at 30 mph, and another at 15 mph. Which of the two is more unusual?
The mean height of a population of men is 70.8 inches and the standard deviation is 3.2 inches. What proportion of these men can walk through 6-foot tall doorway without having to duck?
The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find the probability that the mean of a randomly selected sample of 25 people will be between 110 and 135 gallons.Assume the variable is normally distrubuted
A particular fruit's weights are normally distributed, with a mean of 477 grams and a standard deviation of 19 grams.The heaviest 3% of fruits weigh more than how many grams?Give your answer to the nearest gram.
A student earned a 79 on a precalculus exam, and she earned a 92 on a statistics exam. The precalculus exam had a mean score of 72.3 with a standard deviation of 8.4. On the other hand, the statistics exam had a mean score of 87.4 with a standard deviation of 11.4. Determine which exam the student earned a better score on with respect to her peers.
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.