A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the B bounce upward to be 55.1 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between - to 95 and to 95, th the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the samp 56.7 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls ... Find - to 95 and to.95· - to.95 = to.95

A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the B bounce upward to be 55.1 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between - to 95 and to 95, th the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the samp 56.7 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls ... Find - to 95 and to.95· - to.95 = to.95

Name: A company manufactures tennis balls. When its tennis balls are droppe
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the ballsbounce upward to be 55.1 inches. This average is maintained by periodically testin

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: What is the overall mean? What is the mean of Drug 1? What is the mean of Drug 2? What is the mean…

A: Here use sample mean formula

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A: Solution: Let X be the average percent of fat calories. From the given information, X follows normal…

Q: The time spent on volunteer activities varies within a group of students. A particular group of…

A: Mean μ=2, standard deviations σ=3 , n=100 P( x̄>2.5)=?

Q: A sample of n = 9 has s = 3. What are the correct values for S.S. and s2? -SS = 81; sample…

Q: Given a data point X, what does the Z-score tells us about x

A: Formula for the z-score : Z-score = ( X-μ )/σ μ = Mean σ = Standard deviation Now it is clear :…

Q: An experiment was conducted to compare the difference in weight loss between aerobics (group 1) and…

A: Given: x¯1=5.7 x¯2=3.5s1=1.9 s2=0.7n1=27 n2=30

Q: A physical therapist wanted to know whether the mean step pulse of men was less than the mean step…

A: 50 men selected randomly; n=50 74 women participate in the study.

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Finding the value of z at lowest 14-1.08032 ( From Excel =NORM.S.INV(0.14))Finding the value of z at…

Q: Unfortunately, arsenic occurs naturally in some ground water.† A mean arsenic level of ? = 8.0 parts…

A: We have given that Sample size n =36 Sample mean =6.9 Standard deviation =2.6

Q: Dlivia works at a company that creates mobile phones. She wanted to estimate the mean amount of tim…

A: Given data,n=6df=n-1=5x=9s=2.07α=0.10t-critical value is tc=2.015

Q: An study was conducted to compare the difference in math scores between police foundations (group 1)…

A: Given : x¯1=68.6s1=3.7n1=30x¯2=69.4s2=4.0n2=32 We want to find 99% confidence interval for the…

Q: Dopamine is a chemical that plays a role in the trans- mission of signals in the brain. A…

A: Given: Data regarding amount of dopamine in the brain of each of seven rats. 6.8 5.3 6.0 5.9 6.8 7.4…

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A: Given μ= Mean =71 σ= standard deviation =8 Top 10% receive A's Next 20% received B's Middle…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Н : u is ? ? What are the null and alternative hypotheses that the researcher should use for the…

A: Population mean μ=136 mm Hg Population SD σ=16 mm Hg n=150

Q: Unfortunately, arsenic occurs naturally in some ground water.† A mean arsenic level of ? = 8.0 parts…

A: mu=8, n=36, Xbar=7.1, s=2.2, Ho:mu=8 vs H1: mu<8 We use t statistic

Q: A physical therapist wanted to know whether the mean step pulse of men was less than the mean step…

A: Given that A physical therapist wanted to know whether the mean step pulse of men was less than the…

Q: Two chemical companies can supply a raw material. The concentration of a particular element in this…

Q: Alex's times for running a mile are Normally distributed with a mean time of 5.28 minutes and a…

Q: Beth randomly chose 30 school days and timed her drive to school on those days. Ana randomly chose…

A: Given that We have to test hypothesis for the claim that Beth’s drive time is greater than…

Q: During rush hour, the traffic speed on a busy highway is found to have mean 42 mph and standard…

Q: A physical therapist wanted to know whether the mean step pulse of men was less than the mean step…

A: Solution: From the given information, the claim is that the mean step pulse of men was less than the…

Q: One sample of n = 4 scores has a mean of M = 12, and a second smaple with n = 6 scores has a mean of…

Q: Before every flight, the pilot must verify that the total weight of the load is less than the…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A sample of 9 freshmen takes a reading comprehension test and their scores are a mean of 10 and…

A: Consider that μ defines the population mean score.

Q: A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score…

A: From the provided information, Sample size (n) = 10 Sample mean (x̄) = 177 Sample standard deviation…

Q: Past records suggest that the mean annual income, u, of teachers in state of Utah is greater than or…

A: State the hypotheses. Determine the type of test statistic used. The type of test statistic…

Q: Find the value of the test statistic z using graphing calculator. The claim is that the proportion…

Q: Two sample T for Men vs Women N Mean A physical therapist wanted to know whether the mean step pulse…

A: It is given that, the output of test between the two samples. The output includes the test…

Topic Video

Question

A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls
bounce upward to be 55.1 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between - to 95 and to 95, then
the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is
56.7 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls?
Find - to 95 and to,95·
- to.95 =
to.95 =
(Round to three decimal places as needed.)

Find the t-value,
t-value =
Is the company making acceptable tennis balls? Choose the correct answer below.
A. The tennis balls are not acceptable because the t-value falls outside - to 90 and to 90-
B. The tennis balls are acceptable because the t-value falls between - to 90 and to 90-
C. The sample is not large enough to determine if the tennis balls are acceptable.

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

$Hypothesis Tests and Confidence Intervals for Means$

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.

Similar questions

A psychology student conducted a study on using a chief executive officer's facial structure to predict a firm's financial performance. The facial width-to-height ratio (WHR) for each in a sample of 47 CEOs at publicly traded firms was determined. The sample resulted in x=2.23 and s=0.35. The student wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOs. The student wants to use the value of μ=2.1. Do you recommend he use this value? Conduct a test of hypothesis for μ to help you answer the question. Specify all the elements of the test, including H0, Ha, test statistic, p-value, and your conclusion. Test at α=0.01.
Given a data point x, what does the z-score tell us about x?
A wildlife biologist is interested in comparing the mean number of miles flown per day by two types of birds when migrating over the ocean. Two independent samples of miles flown per day are collected with the following sample statistics. x1 =131.8, X2 =129.5, s1 =10.3, s2 =11.5 The sample size for the first sample is n₁ =31 and the second sample has sample size n₂ =36. Compute the test statistic for the following null and alternative hypotheses. Use two decimal place accuracy. Ho : μ1 = μ2 HA : μι < μ2
The data in Table 7..7 are collected in an experiment designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are each assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 weeks, and 32 weeks, gestation. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. PLEASE SHOW THE ANSWER IN EXCEL FORMAT WITH FORMULAS.
A quality control engineer at Shell visits 80 gas stations and collects a fuel sample from each. She measures the sulphur content in the gas and sorts the samples into 4 different batches. She finds: 19 samples with less than 180 ppm sulphur, 20 samples with between 180 and 230 ppm, 23 samples with between 230 and 280 ppm, and 18 samples with more than 280 ppm. Does the sulphur content of gas follow a normal distribution with a mean of 230 ppm and a standard deviation of 50 ppm at the 5% significance level
Do wearable devices that monitor diet and physical activity help people lose weight? Researchers had 237 subjects who were already involved in a program of diet and exercise use wearable technology for 24 months. They measured their weight (in kilograms) before using the technology and 24 months after using the technology. The 237 differences in weight (weight after 24 months minus weight before using the wearable technology) had ?⎯⎯⎯=−3.5�¯and ?=7.8.. Let ?� be the mean weight difference. What is the test statistic? Give your answer to three decimal places. ?= Identify the correct interpretation of the results based on your analysis.Which is the correct answer ? There is very convincing evidence that there is a decrease in average weight after wearing the device. There is a small amount of evidence that there is a decrease in average weight after wearing the device. There is very convincing evidence that there is an increase in average weight…
Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
Unfortunately, arsenic occurs naturally in some ground water.† A mean arsenic level of μ = 8.3 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 41 tests gave a sample mean of x = 7.3 ppb arsenic, with s = 2.4 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8.3 ppb? Use ? = 0.01. (a) What is the level of significance? State the null hypotheses H0 and the alternate hypothesis H1 . H0 : μ ---Select--- < ≥ ≤ = > ≠ H1 : μ ---Select--- < > ≤ ≥ = ≠ (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and σ is known.The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is unknown. The Student's t, since the…
Water specimens are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharge is at most 150F, there will be no negative effects on the river's ecosystem. To investigage whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150F, researchers will take 50 specimens at randomly selected times and record the temperature of each specimen. The resulting data will be used to test the hypotheses:H0:μ≤150FH0:μ≤150F Ha:μ>150FHa:μ>150F.(a) In the context of this problem, describe Type I and Type II errors.Type I Error:Select an answer A Type I error is not obtaining convincing evidence that the mean water temperature is greater than 150F when in fact it is greater than 150F. A Type I error is obtaining convincing evidence that the mean water temperature is greater than 150F when in fact it is at most 150F. Type II…
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 40 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,250 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,250 lb / 40 = 163 lb. What is the possiblity that the aircraft is overloaded? Should the pilot take any action to correct an overloaded aircraft? Assume that the weights of men are normally distributed with a mean of 177.3 lb and a standard deviation of 39.3 The probability is approximately
A standardized exam’s score are normally distributed. In a recent year, the mean test score was 1477 and the standard was 315. The test scores of four students selected at random 1860 1230, 2160, and 1360. Find the Z- score that correspond to each value and determine wether any of the values are unusual. The Z-score for 1860 is-The Z-score for 1230 is-The Z-score for 2160 is-The Z-score for 1360is-
A cruise ship charges passengers $3 for a can of soda. Because of passenger complaints, the ship manager has decided to try out a plan with a lower price. He thinks that with a lower price, more cans will be sold, which would mean that the ship would still make a reasonable total profit. With the old pricing, the mean number of cans sold per passenger for a 10-day trip was 10.3 cans. Suppose μ represents the mean number of cans per passenger for the new pricing. What hypotheses should the ship manager test if he wants to determine if the mean number of cans sold is greater for the new pricing plan? O Ho: μ = 10.3 versus H₂: μ> 10.3 O Ho: μ = O Ho: μ = 10 versus Ha: μ 10.3