Let X1, X2, ..sample, the sample mean and sample variance are calculated to be X = 8.25, S2 = 14.6 Designa test with significance level a = 005 to decide between HO : u = 9 Ha : u 6= 9 (a) Find theX81 be a random sample from an unknown distribution. After observing this...acceptance region and draw your conclusion accordingly. (b) Find a confidence interval for u atconfidence level (1-a). Is 9 included in this interval and how is it related to our conclusion aboutthe test? C) Find the power of this test at u= 8

Given: The sample size is n=81. The sample mean is X=8.25. The sample variance is S2=14.6. The level…

Answered: ple, the sample mean and sample…

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 66 decibels. Will this average increase 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 67.7 and their standard deviation was 13. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ = < > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton…
The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with = 0.2 kg. Let μ denote the true average weight reading on the scale. (a) What hypotheses should be tested? (b) What is the p-value when = 9.85? What would you conclude at significance level a = 0.01?
I have tried multiple ways to solve this but I am just not getting it! Any assisstance I will greatly appreciate.
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For first option choose accept or reject and for second i attached the values choose the p value
We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.
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SOLVE FOR CRITICAL VALUE Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12 while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.Level of significance = 0.04
Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ= 100 versus H,: µ> 100. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100. O D. The director is testing if the sample provided sufficient…
The additional growth of plants in one week are recorded for 11 plants with a sample standard deviation of 2 inches and sample mean of 12 inches. t* at the 0.05 significance level = Ex: 1.234 Margin of error = Ex: 1.234 Confidence interval = [ Ex: 12.345 E, Ex: 12.345 ]
A previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (b) Now supposed sample results give a p-value of 0.41. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.
0.6.3 Question 3 Is the cubic effect significant? How about quadratic and linear effects? Analysis of Variance Table Response: EX Df Sum Sq Mean Sq F value Pr(>F) MET 1 332 332 0.1246 0.7257742 I(MET^2) 1 37504 37504 14.0572 0.0005141 *** I(MET^3) 1 7245 7245 2.7154 0.1065086 Residuals 44 117390 2668 > anova(quadModel) Analysis of Variance Table Response: EX Df Sum Sq Mean Sq F value Pr(>F) MET 1 332 332 0.120 0.7306134 I(MET^2) 1 37504 37504 13.541 0.0006216 *** Residuals 45 124635 2770 --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

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