The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breakingstrength is 2200 pounds with a standard deviation of 185. A consumer protection agency claims that the actual standard deviation is higher. Suppose that theconsumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis H. and the alternative hypothesis H, theywould use for this test.EspañolHo: 0H₁: 0μXРContinueesc!1@2W# 3Ce0DŚ 2#r%S0<05acer^t.602022O&1yhu酸□图D

The claim is that the actual standard deviation is higher.

Answered: The breaking strengths of cables…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Currently patrons at the library speak at an average of 68 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 60 people speaking at the library. Their average decibel level was 63.5 and their standard deviation was 15. What can be concluded at the the αα = 0.05 level of significance?The null and alternative hypotheses would be: H0:H0: Mean = __?__orrect H1:H1: Mean < __?__orrectC The test statistic t= __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
A school district claims that the average salary of elementary school teachers in their district is more than the national average of $42,000. A sample of 30 elementary school teachers from that district have a mean salary $43,260. The standard deviation for the population is $5,230. At α = 0.05, test their claim that teachers in their district earn more than $42,000 per year.
Suppose a golfer claims that her drive distance is not equal to 232 meters, on average. Several of her friends do not believe her, so the golfer decides to do a hypothesis test, at a 10% significance level, to persuade them. She hits 21 drives. The mean distance of the sample drives is 239 meters. The golfer knows from experience that the standard deviation for her drive distance is 15 meters. H0: μ=232; Ha: μ≠232 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
Currently patrons at the library speak at an average of 64 decibels. Will this average change after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 69 people speaking at the library. Their average decibel level was 61.7 and their standard deviation was 6. What can be concluded at the α = 0.05 level of significance? H0:H0: ? μ p Select an answer > ≠ < = H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
answer 3
Bo is buying some nails for a project. They are interested in whether the boxes are significantly lighter than advertised. The company says the box of nails should weigh 10 lbs but Bo finds the average weight of 8 boxes is 9.8 lbs with a standard deviation of .4 lbs. Assume an alpha of .10.
A sample of 200 people has a mean age of 21 with a population standard deviation (σ) of 5. Test the hypothesis that the population mean is 18.9 at α = 0.05.
A researcher claims that the average wind speed in a certain city is 7 miles per hour. a sample of 30 days has an average wind speed of 7.2 miles per hour. The standard deviation of the population is 0.6 mile per hour.at a=0.05 Is there enough evidence to reject the claim?
A population of size 20 is sampled without replacement. The standard deviation of the population is 0.35. We require the standard error of the mean to be no more than 0.15. What is the minimum sample size?
Use calculator t3 .
A nutritionist claims that the mean tuna consumption by a person is 3.8 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.5 pounds per year. Assume the population standard deviation is 1.04 pounds. At α=0.09, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.8 Ha: μ≠3.8 B. H0: μ≠3.5 Ha: μ=3.5 C. H0: μ>3.5 Ha: μ≤3.5 D. H0: μ>3.8 Ha: μ≤3.8 E. H0: μ≤3.5 Ha: μ>3.5 F. H0: μ≤3.8 Ha:μ>3.8 b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. A. Reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.8pounds. B. Reject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to…
A nutritionist claims that the mean tuna consumption by a person is 3.9 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.8 pounds per year. Assume the population standard deviation is 1.02 pounds. At a = 0.09, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: u>3.8 Ha: μs 3.8 O B. Ho: H#3.8 Ha: μ= 3.8 O C. Ho: Hs3.9 Hai H> 3.9 O D. Ho: H>3.9 O E. Ho: Hs3.8 Ha: H> 3.8 F. Ho: H=3.9 Ha:us3.9 Ha: H#3.9 (b) Identify the standardized test statistic. (Round to two decimal places as needed.)

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