Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $672. For 23 teenage girls, it was $559. From past years, it is known that the population standard deviation for each group is $180. Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls. Conduct a hypothesis test at the 5% level. i. State the distribution to use for the test. (Round your answers to two decimal places.) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) ii. 111.

Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $672. For 23 teenage girls, it was $559. From past years, it is known that the population standard deviation for each group is $180. Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls. Conduct a hypothesis test at the 5% level. i. State the distribution to use for the test. (Round your answers to two decimal places.) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) ii. 111.

Name: Parents of teenage boys often complain that auto insurance costs more
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: Parents of teenage boys often complain that auto insurance costs more, on average, forteenage boys than for teenage girls. A group of concerned parents examines a random sampleof insurance bills. The mean annual cost for 36 teenage boys was $672. Fo

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: Would a person spending $476 on their car be considered usual or unusual if the amount spent by the…

A: Given information- Population mean µ = $347 Population standard deviation, σ = $39.58 Let, X be the…

Q: Based on the results that follow, do you think that the standard deviation is different from the two…

A: Let σ be the population standard deviation. Given that, Population standard deviation (σ)=2Sample…

Q: The mean assessed value of homes in Southern County is $158,000 with a standard deviation of…

A: Old mean = E(X) = 158000 Old SD = SD(X) = 32000

Q: Yoonie is a personnel manager in a large corporation. Each month she must review the employees in…

A: Solution: It is given that from the past experience of Yoonie, it takes her approximately four hours…

Q: IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ…

A: Given that Mean =100 Standard deviation =15 We have to the percentile corresponding to an IQ…

Q: The average McDonald's restaurant generates $3.6 million in sales each year with a standard…

A: For the MacDonald's restaurant the following information is provided. Average μ=3.6 Standard…

Q: The annual salaries for workers at a local mill are normally distributed with a mean of $45,000 and…

A: The annual salaries for workers at a local mill are normally distributed with a mean of $45,000 and…

Q: The average daily points for my fantasy baseball team are {4.1, 5.7, 3.8, 4.7, 4.7, 5.5, 4.1, 2.7,…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: You are told that the mean income for graduating seniors is $58,500 with a standard deviation of…

A: Given μ=58500σ=4100 Majority of graduating seniors earn income between a and b is,…

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: he cost of laptops is normally distributed with a mean of $750 and a standard deviation of $60. What…

A: GivenMean(μ)=750standard deviation(σ)=60

Q: Suppose the amount newly married couples spend per week on groceries is normally distributed with a…

A: given data, normal distribution μ=65σ=4.3the amount (in dollars) spent on groceries representing the…

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Nicole has a score of…

A: From the provided information, Mean (µ) = 152 Standard deviation (σ) = 16 X~N (152, 16) Nicole has…

Q: you know 10% of the people in Amsterdam describe themselves as hipsters. you ask 400 respondents if…

A: Solution: Given data : p = 10% = 0.10 Sample size (n) = 400 To find: standard deviation of the…

Q: One year, many college-bound high school seniors in the US took the SAT. For the verbal portion of…

A: According to the given information in this question We need to find the percentage of students would…

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

Q: eenage boys often complain that auto insurance costs more, on average, for teenage boys than for…

A: Given, Parents of teenage boys often complain that auto insurance costs more, on average, for…

Q: The average McDonald's restaurant generates $2 million in sales each year with a standard deviation…

A: Sample (x) (x-x̄)2 1 2.6 0.1089 2 3.2 0.8649 3 2.2 0.0049 4 2.6 0.1089 5 2.2 0.0049 6…

Q: The average McDonald's restaurant generates $3.2 million in sales each year with a standard…

Q: Last year the revenue for utility companies had a mean of $60 million with a standard deviation of…

Q: Explain why each scenario is either sample or population standard deviation. All SCAD students are…

A: Survey based question

Q: You may need to use the appropriate appendix table or technology to answer this question. A…

A: Male consumer Sample size, n1=40 Sample mean, x¯1=132.67 Population sd, σ1=45 Female consumer…

Q: Kathy is a business administration major at Florida State University. She is comparing her…

A: The z-value is the standardized value that explains about the relative measure of a data value. The…

Q: The manager of a fast-food restaurant records each day for a year the amount of money received from…

A: From the provided information, Mean (µ) = 1337 Standard deviation (σ) = 204 X~N (1337, 204) Here X…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: The weekly mean income of a group of executives is $1,000 and the standard deviation of this group…

Q: It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side…

A: Let X be the random variable X~ Normal (0, 1)

Q: Abby's score of 704 on the math portion of the 2002 GRE exam placed her in the 84th percentile rank.…

A: given data Abby score x = 704 84th percentile σ = 141μ = ?

Q: You may need to use the appropriate appendix table or technology to answer this question. A…

A: From the information, given that The formula for two sample Z-test confidence interval is,

Q: Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys…

Q: The amount of Jen's monthly phone bill is Normally distributed with a mean of $ 76 and a standard…

A: Answer: Using the given data, Let X: Jen's monthly phone bill amount X is normally distributed with…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

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

Parents of teenage boys often complain that auto insurance costs more, on average, for
teenage boys than for teenage girls. A group of concerned parents examines a random sample
of insurance bills. The mean annual cost for 36 teenage boys was $672. For 23 teenage girls,
it was $559. From past years, it is known that the population standard deviation for each
group is $180. Determine whether or not you believe that the mean cost for auto insurance
for teenage boys is greater than that for teenage girls. Conduct a hypothesis test at the 5%
level.
State the distribution to use for the test. (Round your answers to two decimal places.)
What is the test statistic? (If using the z distribution round your answer to two
decimal places, and if using the t distribution round your answer to three decimal
places.)
What is the p-value? (Round your answer to four decimal places.)
i.
ii.
ii.

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 Introduction:

VIEW

Step 2 Answer and explanation:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.2 and standard deviation of 5.2, SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,159 and standard deviation of 205. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number. 80 888 #3 $ & 3 4. 7 E Y U F G H J K DI
Cherise is interested in how her friends compare to the population for number of hours of television watched during a single week. She collects the data from 9 of her friends. The average for her friends is 28 hours, with a standard deviation of 9. She knows that the population mean is 34. What is the t statistic?
The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…
The prices of all college textbooks follow a bell-shaped distribution with a mean of $108 and a standard deviation of $21. What percentage of the price that is more than 140? Show your works and read the table.
Think of your own example of a data set that would follow a normal distribution and explain why.
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
According to a health foundation survey from 2018 and 2016, the average annual premiums for employer-sponsored health insurance for family coverage was $16,834 in 2018 and $15,745 in 2016. Suppose the survey for 2018, was based on 250 employees who had employer-sponsored health insurance and the survey for 2016 was based on 200 employees who had employer-sponsored health insurance. Assume the population standard deviation for 2018 and 2016 were $2160 and $1990; respectively. Find a 97% confidence interval for the mean difference. (Round your answer to 1 decimal place.)Lower limit = Upper limit =
The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.9 and standard deviation of 5.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,059 and standard deviation of 203. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number.
It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side of the mean. How many deviations from the mean would 88 percent lie?
Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $670. For 23 teenage girls, it was $556. From past years, it is known that the population standard deviation for each group is $180. Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?boys > ?girls H0: ?boys = ?girls H0: ?boys < ?girls H0: ?boys ≠ ?girls Part (b) State the alternative hypothesis. Ha: ?boys > ?girls Ha: ?boys ≠ ?girls…
Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. What does Chebyshev's theorem say about the number of the amounts that are within three standard deviations of the mean? Click the icon to view the room costs in dollars. There are at least observations that are within three standard deviations of the mean. (Round up to the nearest whole number.) Room Costs ($) 92 106 118 170 184 181 119 248 138 133 122 250 0 X