BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours an that the sample standard deviation of the lifetimes is 700 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H;: u is ? v||? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is? when, in fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?

BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours an that the sample standard deviation of the lifetimes is 700 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H;: u is ? v||? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is? when, in fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?

Name: BIG Corporation advertises that its light bulbs have a mean lifetime,
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose that we have reason to doubt this claim and decide to do astatistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and

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

Similar questions

The standard deviation of pulse rates of adult males is more than 11 beats per minute. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.345. State the null hypothesis (H0). State the alternative hypothesis (H1). What kind of test would this be, a two-tailed, a left-tailed, or a right-tailed? Sketch a normal distribution curve and highlight the region of significance (also called critical region or rejection region). On your graph, next highlight the P-value. (The P-value means that there is a 34.5% chance that your results could be random or happen by chance). State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Without using technical terms or symbols, state a final conclusion that addresses the original claim.
select an appropriate statistical test and perform hypothesis testing
An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 620 days and a standard deviation of 124.5. BIG Corporation claims that the standard deviation of its electric bulbs is less than 124.5. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H0, and the alternative hypothesis H1 that we would use for this test. H0 = H1 =
QUESTION 5 You want to run a 2-tailed independent t-test on sample 1 (M = 42.8, SD = 1.8) and sample 2 (M = 39.6, SD = 0.9), which each have sample size = 9. You have set a = 0.05. Assume equal variances and calculate t_obs.
If we have a sample of size 100 with sample mean breaking strength of 975 pounds from a population of rope with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength differs from 1000 pounds, what is the P-value of our data?
BIG Corporation advertises that its light bulbs have a mean lifetime, μ , of at least 3000 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2840 hours and that the sample standard deviation of the lifetimes is 700 hours. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?70028403000 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?70028403000In the context of this test, what is a Type II error?A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater…
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. Ho____ H1____
A scientist has read that the mean birth weight u of babies born at full term is 7.3 pounds. The scientist, believing that the mean birth weight of babies born at full term is less than this value, plans to perform a statistical test. She selects a random sample of 75 birth weights of babies born at full term. Suppose that the population of birth weights of babies born at full term has a standard deviation of 1.8 pounds and that the scientist performs her hypothesis test using the 0.05 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) Н : μ is What are the null and alternative hypotheses that the scientist should use for the test? H, : u is Assuming that the actual value of u is 6.82 pounds, what is the power of the test? Round your response to at least two decimal places. What is the probability that the…
Previous research has shown that the mean number of ballpoint pens Americans use per year is 4.3 with a standard deviation of 1.17. You believe that amount is too high since computers are used so often this day and age. You randomly select 20 people and find the average to be 3.8 ballpoint pens per year. Assuming normality, is there evidence to show that the mean has decreased? What is the decision for this hypothesis test? Previous research has shown that the mean number of ballpoint pens Americans use per year is 4.3 with a standard deviation of 1.17. You believe that amount is too high since computers are used so often this day and age. You randomly select 20 people and find the average to be 3.8 ballpoint pens per year. Assuming normality, is there evidence to show that the mean has decreased? What is the decision for this hypothesis test? Reject the null because the test statistic is in the critical region and the p-value is less than alpha. Reject the null because the test…
A repeated-measures study with a sample of n=9 participants produces a mean difference of Md = 3 with a standard deviation of s=6. Use a two-tailed hypothesis test with a=.05 to determine whether it is likely that this sample came from a population with ud= 0. Now assume that the sample mean difference is Md=12 and repeat the hypothesis test. Use a two-tailed hypothesis test with a=.05 to determine whether it is likely that this sample came from a population with u=0. Explain how the size of the sample mean difference influences the likelihood of finding a significant mean difference.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1that we would use for this test.
Suppose you are a quality control manager at a manufacturing company that produces light bulbs. The company has recently made changes to the manufacturing process, and you want to investigate whether these changes have had a significant impact on the average lifespan of the bulbs. You collect a random sample of 30 light bulbs produced under the new process and find that the sample mean lifespan is 1200 hours with a sample standard deviation of 100 hours. Additionally, you collect a random sample of 35 light bulbs produced under the old process and find that the sample mean lifespan is 1180 hours with a sample standard deviation of 90 hours. Assuming that the population standard deviations are unknown but equal, test at a 5% significance level that the average lifespan of the light bulb has changed with the new manufacturing process. NOT FOR MARKS, just a book sample question