average weight of a jelly bean is known to be 1.10 grams. It’s known to have a standard deviation of 0.2 grams. 100 jelly beans have been weighted and found an average weight of 1.25 grams. Is there evidence that the known weight is true? Test it with a 0.05 level of significance.

average weight of a jelly bean is known to be 1.10 grams. It’s known to have a standard deviation of 0.2 grams. 100 jelly beans have been weighted and found an average weight of 1.25 grams. Is there evidence that the known weight is true? Test it with a 0.05 level of significance.

Name: he average weight of a jelly bean is known to be 1.10 grams. It’s know
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: he average weight of a jelly bean is known to be 1.10 grams. It’s known to have a standard deviation of 0.2 grams. 100 jelly beans havebeen weighted and found an average weight of 1.25 grams. Is there evidence that the known weight is true? Test it w

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: Light globes produced by a manufacturing company have had a life expectancy of 1350 hours. Because…

Q: Heights of men in America are usually a mean of 69.1 inches, with an SD of 2.67 inches. Women are…

A: Z score is given by,

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Given that Mean = 6.9 and Standard deviation = 1.5 Formula z = (x - mean)/ SD

Q: The amount of income taxes that people owe each year varies greatly from person to person because…

A: Given information Population standard deviation, σ = $25,989 Sample size, n = 30 Sample standard…

Q: A manufacturing company produces metal pipes with a desired width of 2.5 cm. Due to machine error,…

A: Introduction: Denote X as the width of a randomly selected pipe produced by the manufacturing…

Q: waster than in untreated water. Use the level of significance=0.05 Sample1=untreated water,…

A: Given Data : For Sample 1 x̄1 = 7.8 s1 = 1.4 n1 = 5 For Sample 2…

Q: The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of…

A: Given that the collagen amount was found to be normally distributed with a mean is 73 and the…

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: From the given information, it can be observed that the claim is that the valve performs more than…

Q: The average waist size for teenage males is 27.1 inches with a standard deviation of 2.34 inches. If…

A: We have given that. X~N( μ , ?^2 ) μ = 27.1 , ? = 2.34 , x=26.2 Z-score =( x - μ)/?

Q: The mean dose for a medicine is 134mg and the standard deviation is 18mg. The dosing is normally…

A: Given the definition of Empirical formula that, According to Empirical rule , the data with mean μ…

Q: MCAT in a recent year,scores on the medical college admissions test had a mean of 25 and a standard…

A: From the provided information, Mean (µ) = 25 Standard deviation (σ) = 6

Q: The hospital record shows that the mean weight of newly born baby is 7 lbs with the standard…

Q: Do people who exercise regularly have a cholesterol level less than the recommended level of 140? A…

A: The summary of statistics is,

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: 16. Solution: Let X be the height of an adult man. From the given information, X has mean µ=69…

Q: The heights of adult women are normally distributed with a mean of 63.5 inches and a standard…

A: Solution: Let X be the height of adult women. From the given information, X follows normal…

Q: The length of time it takes for a manufacturer to build a car is normally distributed with a mean of…

Q: A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it…

A: Solution

Q: The test scores of students in a class test has a mean of 70 and with a standard deviation of 12.…

A: Given,mean(μ)=70standard deviation(σ)=12

Q: The length of the western rattlesnake is normally distributed with a mean of 42 inches and a…

A: Determine the length of the snakes that the 95% of western rattlesnakes that are longer than. The…

Q: A manufacturer claims that the average tensile strength of thread A exceeds the average tensile…

A: There are two samples, and the sample names are A and B , each having 48 piece. Thereforen1=48.…

Q: The average American consumes 93 liters of alcohol per year. Does the average college student…

Q: he heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: Solution: Let X be the height of adult men in America and Y be the height of adult women in America.…

Q: An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer…

A: Population mean()=6.5sample size(n)=210sample mean()=6.6standard deviation()=0.6significance…

Q: A shareholders' group is lodging a protest against your company. The shareholder's group claimed…

A: n=96 ∴df=n-1=9sx=8.5S=5.7H0:μ=9H1:μ<9α=0.05

Q: An automobile manufacturer claims that its van has a 45.5 miles/gallon (MPG) rating. An independent…

A: Given data: An automobile manufacturer claims that its van has a μ=45.5 miles/gallon (MPG) rating.…

Q: The heights of English men are normally distributed with a mean of 69.2 inches and a standard…

A: given mean (μ= 69.2 ) standard deviation(σ) = 4 z= (x-μ)/σ p(x<57.2) =P((x-μ)/σ <…

Q: An auto manufacture advertises it's car has an average mile per gallon of 38 (MPG-35) If the…

A: Let X be the cars miles per gallon. μ= 38 MPGσ= 1.78 MPG

Topic Video

Question

he average weight of a jelly bean is known to be 1.10 grams. It’s known to have a standard deviation of 0.2 grams. 100 jelly beans have
been weighted and found an average weight of 1.25 grams. Is there evidence that the known weight is true? Test it with a 0.05 level of significance.

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 7 images

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, probability and related others by exploring similar questions and additional content below.

Similar questions

Weights of incoming college freshmen are normally distributed with a mean of 150 lbs. and a standard deviation of 25 pounds. What z-score and what weight represents the first quartile for incoming freshmen?
The average rainfall in a certain area is 24.5 inches per year, with a standard deviation of 3 inches per year. What is the chance they get more than 32 inches of rain next year?
I researched the winning time for the 1/4 mile race in the Fayette County Fair. Let's assume that winning times are normally distributed for both men and women. The mean time for men is 43.92s with a standard deviation of 0.38s. The men's fastest time has a z-score of -1.95. What is the time associated with men's z-score? T TTArial 3 (12pt) Click Save and Submit to save and submit. Click Save All Answers to save all answers.
Do men take a different amount of time than women to get out of bed in the morning? The 54 men observed averaged 4.3 minutes to get out of bed after the alarm rang. Their standard deviation was 1.4. The 59 women observed averaged 5 minutes and their standard deviation was 2.8 minutes. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: μ1 = + μ2 (please enter a decimal) H₁: μ1 # ♦ μ2 (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic t = d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is α f. Based on this, we should fail to reject + the null hypothesis.
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 75.6 inches tall. (to 2 decimal places) Submit Question
Although, it is commonly believed that the mean for the human body temperature is 98.6 F, others doubt it. A random sample of 100 persons showed the mean body temperature to be 98.4 F with standard deviation of .76 F. At a .05 level of significance, find if the data indicates that the mean for the human body temperature is not equal to 98.6. Find tcritical or tcr
A tire manufacturer claims that the mean life of its tire is 75,000 miles. The mean of a sample of 50 tires is 74,200 miles with a standard deviation of 2300 miles. Using an alpha of 5%, does the manufacturer’s claim appear to hold ture? Explain.
Yane is a researcher who studies bacteria. They are trying to ascertain the mean lifespan for a bacteria species. It is believed that the standard deviation of their lifespan is o = 4 hours. They would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should they gather to achieve this? Remember your answer must be a whole number. n= bacteria
A basketball analyst recently claimed that the average number of passes per possession in basketball today is less than 5. A random sample of 40 possessions had a mean number of passes of 4.1. The standard deviation of all possessions is known to be 2.4. Test the claim with 0.01 level of significance.
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of -1.3214
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. (a) What is the z-score for a woman 70 inches tall? z-score = What is the z-score for a man 80 inches tall? z-score =
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.3 pounds/square inch. Assume the standard deviation is known to be 0.7. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.