Suppose that 100 tires made by a certain manufacturer lasted on average 54,500miles with a standard deviation of 2,000 miles. Do you have enough evidence toreject the manufacturer's claim that the average life is at least 55,000 miles? Test theclaim at significance level a = 0.05. State clearly what are your null and alternativehypotheses, show your work, and state your conclusion.

n=100, s=2000, sample mean x̄=54500, population mean μ=55000, level of significance ɑ=0.05

Answered: Suppose that 100 tires made by a…

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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Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1 gdL. Research shows that exactly 95% of healthy females have a hemogoblin level of 16.1 gdL. What is the standard deviation of the distribution of hemoglobin levels and healthy females. Carry you intermediate computations to atleast four decimal places, and round your answer to at least two decimal places.
answer 3
You are testing that the mean speed of your cable Internet connection is 100 Megabits per second. State the null and alternative hypotheses.
Has the number of shoppers who wear masks changed from 2020 to 2021? There are arguments for and against this question. The mean number of masks, u, used by a shopper in Metropolis in 2020 will be compared to the mean number of masks, Hy used by a shopper in Metropolis in 2021. The true values of u, and u, are unknown. It is recognized that the true standard deviations are o, = 19 for the 2020 measurements and o, = 24 for the 2021 measurements. We take a random sample of m = 255 shoppers in 2020 and a random sample of n = 200 shoppers in 2021. The mean number of masks were x= 97 for 2020 and y= 85 for 2021. Assuming independence between the years and assuming masks used by shoppers are normally distributed we would like to estimate x - Hy. What is the standard deviation of the distribution of x? What is the standard deviation of the distribution of x - y? Create a 95% confidence interval for uy - Hy ? ) What is the length of the confidence interval in part c) ? If we let n stay at 200…
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Time to Complete the Course Right 45 47 50 49 50 50 48 44 Left | 45 | 43 48 47 50 52 | 44 42 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: p1 p2 Ні: p1 p2 b. The test statistic t v v = 1.199 (please show your answer to 3 decimal places.) c. The p-value = [1338 your answer to 4 decimal places.) d. The p-value is > va e. Based on this, we should fail to reject f. Thus, the final conclusion is that ... * (Please show v the null hypothesis. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over
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2. Average Senior High School annual cost of tuition fee for all private schools last yearwas Php43,700. A random sample of costs this year for 45 private schools indicatedthat the sample mean was Php45,800 and a sample standard deviation was Php5,600.At 0.01 level of significance, is there sufficient evidence to conclude that the costincreased?Solution:Step 1: State the hypothesis.?0: _____________________________________________________________?1: _____________________________________________________________Step 2: The level of significance and critical region.? = ________ and the ????????? = __________Step 3: Compute for the value of one sample t test. ????????? = _______Step 4: Decision Rule.___________________________________________________________________________________________________.Step 5: Conclusion:____________________________________________________________________________________________________________________________________________________________________________.3.…

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