A carnival prankster thinks he can make money by fooling people about his age. He asks a random sample of 50 people to guess his age (which is 62) and he finds that their average guess is 59.4 with a standard deviation of 4.73 At alpha = .01 can he conclude that, on average, people are guessing his age correctly? If not, are they over or underestimating it?

A carnival prankster thinks he can make money by fooling people about his age. He asks a random sample of 50 people to guess his age (which is 62) and he finds that their average guess is 59.4 with a standard deviation of 4.73 At alpha = .01 can he conclude that, on average, people are guessing his age correctly? If not, are they over or underestimating it?

Name: A carnival prankster thinks he can make money by fooling people about
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A carnival prankster thinks he can make money by fooling people about his age. He asks a random sample of 50 people to guess his age (which is 62) and he finds that their average guess is 59.4 with a standard deviation of 4.73 At alpha = .01 can he

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

See similar textbooks

Related questions

Q: A random sample is selected from a normal population with a mean of µ = 30 and a standard deviation…

Q: Past experience indicates that the time required for high school seniors to complete a standardized…

Q: A machine produces bolts with an average diameter of 0.35 in. and a standard deviation of 0.02 in.…

A: It is given that the mean is 0.35 and the standard deviation is 0.02.

Q: modeling agency, a researcher wishes to see if the average height of female models is really less…

A: Given that x̄ = 66.3 , μ = 67 , s = 1.9 , n = 32 Note: According to bartleby experts question…

Q: A manufacturer of potato chips would like to know whether its bag filling machine works correctly at…

A: Solution: State the hypotheses. Null hypothesis: That is, the bag filling machine works correctly…

Q: For the same level of type I error, in order to decrease the probability of type II error we can,…

Q: The professor of a introductory calculus class has stated that, historically, the distribution of…

A: As per our guidelines we are supposed to answer only 3 sub-parts (if there are multiple sub-parts…

Q: A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of…

Q: A random sample is selected from a normal population with a mean of μ = 50 and a standard deviation…

A: Given information: Population mean, μ=50 Population standard deviation, σ=12 The sample mean, M = 55…

Q: The Omani-student in a large university took a survey and It was found that the mean health care…

Q: A sample of n = 25 scores is determined to have a standard error of 2 points. what is the standard…

A: Given data, SE=2 n=25 s=?

Q: A researcher knows from past studies that the standard deviation of the time it takes to inspect a…

Q: A sample of difference scores from a repeated-measures experiment has a mean of MD=3 with a standard…

A: The difference in score is measured so the null hypothesis will claim that the there is no…

Q: A sample of n = 16 scores has a standard error of 12. What is the standard deviation of the…

A: Given that, Sample size, n = 16 Standard error = 12

Q: According to a recent report, people smile an average of u=62 times per day. Assuming that the…

A: Let "X" be the average number of times that people smile in a day.

Q: A psychologist reports that the average length of R.E.M. sleep in his test subjects was 10 minutes.…

A: Hypothesis Testing: Hypothesis is a procedure by which we can tests an assumption regarding a…

Q: A random sample is selected from a normal population with a mean of μ = 40 and a standard deviation…

A: The hypotheses can be constructed as: Null hypothesis: H0: µ = 40 Alternative hypothesis: H1: µ ≠ 40…

Q: A sample with a variance of s2 = 36 has a standard deviation equal to s = 6. Tru or false

Q: A manufacturer claims that the mean lifetime, μ, of its light bulbs is 44 months. The standard…

Q: The distribution of scores on a standardized aptitude test is approximately normal with a mean of…

A: Solution: Let X be the score on a standardized aptitude test is approximately normal dstribution…

Q: According the the U.S. Department of Education, full-time graduate students receive an average…

Q: A random sample of n = 16 scores is obtained from a normal population with a mean of µ = 100 and a…

Q: According to the CDC (2016), the average life expectancy of someone with diabetes is µ = 72 years,…

A: H0 : ? =72 H1 : ? ≠72 Population mean = ? = 72 Population S.D = ? =14 Sample size = n =64…

Q: To disprove a previous study that claims that college graduates make an average salary of $46,000, a…

Q: random sample of 100,000 credit sales in a department store showed an average sale of $87.25. From…

Q: Suppose that a random sample of 75 Republicans had a mean income of $60,000 with a standard…

A: Given that Sample sizes n1=75 , n2=41 Sample means X̄1=60000 , X̄2=50000 s1…

Q: A manufacturer of precision measuring instruments states that the standard deviation of the…

A: Introduction: Denote the true population standard deviation of the precision measuring instrument as…

Q: A sample of size 52 will be drawn from a population with a mean of 18 and a standard deviation of…

Q: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average…

A: (a) Determine the population of interest. The population of interest is determined below as…

Q: A psychiatrist is testing a new antianxiety drug, which seems to have the potentially harmful side…

A: Given, A psychiatrist is testing a new antianxiety drug, which seems to have the potentially harmful…

Q: A random sample is selected from a normal population with a mean of μ = 30 and a standard deviation…

A: State the hypotheses That is, there is no sufficient evidence to conclude that treatment has a…

Q: ABC university claims that because of its superior facilities and close faculty supervision, its…

Q: oducts online. The shipping department manager claims that the average order shipped by their…

Q: The supervisor of a production line believes that the average time to assemble an electronic…

A: We have given that Sample size n=36 Sample mean = 13 Standard deviation = 3.4

Q: If you conduct 14 different statistical tests with alpha = 0.05, what is the probability you will…

A: Given that the researcher conducts 14 different statistical tests, each with an alpha is 0.05. That…

Q: A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a…

A: Given that the conclusion is fail to reject the null hypothesis.

Q: An electrical appliance made by company A has an average life of 2500 hours, with a standard…

A: Given that For Company A Population mean=2500 hours Standard deviation =500 hours Sample size=300…

Q: In a hospital study, it was found that the standard deviation of the sound levels from 26 areas…

A: (a)

Q: A random sample is selected from a normal population with a mean of μ = 30 and a standard deviation…

A: From the provided information, Population mean (µ) = 30 Standard deviation (σ) = 8 Sample mean (M) =…

Q: According the U.S. Department of Education, full-time graduate students receive an average salary of…

Q: A company advertises that their starting salary for new workers is $50,000. It is known that…

A: Given: Average(μ)=50,000standard deviation(σ)=8500sample size(n)=36sample mean(x)=52000

Q: When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to…

A: From the given information, The average value is lower than 120 bpm. Null Hypothesis: H0: The…

Q: A manufacturer of light bulbs claims that its light bulbs have a mean life of 702 hours and a…

A: Given that, μ=702σ=124n=130 The mean and standard deviation of the sample mean is,

Q: ples of size 100 are drawn randomly from a normal population that has a mean of 20 and a standard…

A: Given: μ=20, σ=5, n=100 The corresponding z-value needed to be computed: The probability of…

Q: A pharmaceutical company claims that they have a new drug that will significantly reduce the average…

A: The random variable recovery time follows normal distribution. The sample size is 22. The sample…

Q: The security department of a factory wants to know whether the true average time required by the…

A: Given : sample size, n = 35 sample mean, x̄ = 9.48 sample standard deviation,s= 1.7…

Q: A random sample of 100 students showed that the average height is 168cm with a standard deviation of…

Q: A random sample is selected from a normal population with a mean of μ = 40 and a standard deviation…

A: a. The hypothesis is, Null hypothesis: H0: There is no sufficient evidence to conclude that the…

Q: A gallon of paint claims to cover 400 sq ft. To test this, a research lab obtained 30 random gallons…

A: The p-value is 0.212.

Topic Video

Question

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 by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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.

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Calculus For The Life Sciences

Calculus

ISBN: