ACTIVITY 2 - STATISTICAL ANALYSISI. Follow the steps in testing hypothesis to answer the problem:1. A manufacturer of flashlight batteries claims that the average life of hisproduct will exceed 40 hours. A company is willing to buy a very large shipment ofbatteries if the claim is true. A random sample of 36 batteries is tested, and it isfound that the sample mean is 45 hours. If the population of batteries has astandard deviation of 5 hours, is it likely that the batteries will be bought?

Given that Hypothesized Population Mean (\mu)(μ) = 4040 Population Standard Deviation…

Answered: I. Follow the steps in testing…

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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Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b. What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?
Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…
Need answer to question 4.
In a sample of 80 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1580 with a standard deviation of $350. In a sample of 80 trips taken by the employees in the sales department is $1750 with a standard deviation of $550. When testing the hypothesis that the averageamount spent on trips taken by the salesepartment are higher than those taken by the HR department, if the test statistic is 2.33 and the critical value is 1.96 then what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
A study is conducted to compare the performance of students with more than one personal electronic gadget and those with only one. A number of them were taken as subjects for the study. The mean grades of these students and the standard deviations are shown below: For one gadget: The mean is 83, standard deviation is 12, and sample size is 7. For more than one gadget: The mean is 79, standard deviation is 13, and sample size is 5. Is it possible to conclude that there is no significant difference in the mean grades of the two types of students at a 95% confidence interval? Note: This is a two-tailed test. Also take note that this is finding the difference between two population means.
I. There are two samples with means 15 and 18. Both of those samples consist of 24 observations. Sample standard deviations are equal to 4 in both cases. If you want to test whether the difference between the mean in the first and the mean in the second population is equal to 0, what is your decision at the .01 level?
2) A restaurant association claims that the average amount a family spends per year eating out is $2700. Suppose you are a consumer reporter and want to test this claim. You select a random sample of 32 homes and obtain that their mean is $2850 with a standard deviation of $270. using α= 0.05, do you have enough evidence to reject the association's claim?
A manufacturer advertises that the average life of batteries produced by his firm is at least 12 months. The consumer board disagrees, and claims that the average life of the batteries is less than 12 months. The consumer board test a random sample of 9 batteries and find that the mean life is 10.6 months with a standard deviation of 2. The consumer board's alternative hypothesis is: A. The average life of the population of batteries is 12 months. B. The average life of the population of batteries is less than 12 months. C. The average life of the population of batteries is more than 12 months. D. The average life of the population of batteries is at least 12 monthsThe manufacturer of 'Road King' tyres claim that their tyres last an average of 70,000km or more. The Consumer Board suspects that this claim may be false (they have received some complaints) and decide to test the manufacturer's claim. The Consumer Board took a sample of size 500 from the population. They ran the…
2. The average gasoline price of one of the major oil companies has been $1.00 per gallon. Because of shortages in production of crude oil, it is believed that there has been a significant increase in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $1.04. Assume that the standard deviation of the population (o) is $0.12. a) State the null and the alternative hypotheses for testing the belief. b) Describe a Type I error and a Type II error for this situation. c) What is the critical value at a = .05? d) what's your What is the t-statistic or z-statistic associated with the above sample results?
Read each situation and perform the appropriate test of hypothesis for the one sample mean z-test and t-test. 2. A manufacturer claims that their car batteries have a mean life expectancy of 6 years with a population standard deviation of 1.75 years. In order to test its own claim, a random sample of 35 batteries were tested and it was found out their mean life span is 5. 5 years. Is there evidence at the 0.01 level of significance that the batteries become exhausted in less than 6 years?
a. State the null and alternative hypothesis.
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. A sample of 16 elements selected from this population produced a mean of 86.75 and a standard deviation of 12.54. The significance level is 2%. a. –2.602 and 2.602 b. –2.583 and 2.583 c. –2.131 and 2.131 d. –1.341 and 1.341

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