### Hypothesis Testing: Null and Alternative Hypotheses**Scenario:**In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to conduct a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.**Objective:**Determine the null and alternate hypotheses for this scenario.**Possible Choices:**1. $ H_0: \mu = 7.1 $ minutes, $ H_1: \mu > 7.1 $ minutes2. $ H_0: \mu = 7.1 $ minutes, $ H_1: \mu < 7.1 $ minutes3. $ H_0: \mu \neq 7.1 $ minutes, $ H_1: \mu = 7.1 $ minutes4. $ H_0: \mu = 7.1 $ minutes, $ H_1: \mu \neq 7.1 $ minutes5. $ H_0: \mu = 7.1 $ minutes, $ H_1: \mu < 7.1 $ minutes**Graphical Representation:**The given image presents a multiple-choice format where different hypothesis pairs are listed, with each pair consisting of a null hypothesis ($H_0$) and an alternate hypothesis ($H_1$).**Explanation of Setup:**- **Null Hypothesis ($H_0$)**: Represents the status quo or the hypothesis that indicates no effect or no change. Here, it suggests that the average duration of the phone calls is still 7.1 minutes.- **Alternate Hypothesis ($H_1$)**: Represents a change or an effect. This could either indicate that the average duration has increased, decreased, or simply changed in either direction.**Choose the Correct Pair:**For a two-tailed hypothesis test, where we are interested in any change from the historical mean (both increases and decreases),we use:- $ H_0: \mu = 7.1 $ minutes- $ H_1: \mu \neq 7.1 $ minutesHence, the fourth option listed in the multiple-choice setup should be selected.**Instructions:

Name: ### Hypothesis Testing: Null and Alternative Hypotheses**Scenario:**I
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Hypothesis Testing: Null and Alternative Hypotheses**Scenario:**In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to conduct a hypothesis test to deter

Answered: Image /qna-images/answer/aff20a34-60a7-4d70-b513-e0ba0e6f6d29.jpg

Math

Statistics

A hypothesis test Is to be performed. Determine the null and alternate hypotheses. In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.

A hypothesis test Is to be performed. Determine the null and alternate hypotheses. In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.

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

Solve quickly please
IQ tests are approximately normally distributed with a mean of 100 for adults. A tech company CEO wants to conduct a hypothesis test to see if the average IQ of employees at high-tech firms in California is higher than average. What is Type I error in the context of this problem?
Classify the hypothesis test as two-tailed, left-tailed, or right-tailed. At one school, the average amount of time that tenth-graders spend watching television each week is 20.1 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 20.1 hours.
Determine the null and alternative hypotheses.In the past, the mean running time for a certain type of radio battery has been 9.6 hours. The manufacterer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result. Choose the best asnwer below A. H0: μ ≥ 9.6 hoursHA: μ = 9.6 hours B. H0: μ > 9.6hoursHA: μ > 9.6 hours C. H0: μ ≠ 9.6 hoursHA: μ = 9.6hours D. H0: μ = 9.6hoursHA: μ > 9.6 hours E. H0: μ = 9.6 hoursHA: μ ≠ 9.6 hours
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
option d. for the last question is D. The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective.
For the given scenario, determine the type of error that was made if any.(begin by determining the null and alternative hypothesis). A new whitening toothpaste advertises for shades as the mean number of shades the toothpaste whitens your teeth. One user claims that the mean number of shades the toothpaste whitens your teeth is different from four shades. The user conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean number of shades the two piece white is your teeth is for shade. Was an error made? If so, what type? A, B, C? A.Yes; type 2 error B.Yes; type 1 error C.No; correct decision
In the past, the mean running time for a certain type of flashlight battery has been 8.5 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result. A. Lower-tailed B. Upper-tailed C. Two-sided O A B O C
A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. Suppose that we want to carry out a hypothesis test to see if the true mean discharge differs from 9 . State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
Your medical research team is investigating the mean cost of a 30-day supply of a certain heart medication. A pharmaceutical company thinks that the mean cost is more than $95. You want to support this claim. How would you write the null and alternative hypotheses?
A company claims that less than 30% of people who both work and live in Newcastle. A study revealed that among a random sample of 200 people working in Newcastle, 62 also lived in Newcastle. Does the sample support the company’s claim? Use a level of significance of 0.01.
At a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the decision? A) Reject Ho because the test statistic is in the critical region and the p-value is greater than the significance level. B) Reject Ho because the test statistic is not in the critical region and the p-value is greater than the significance level.…