2) Hypothesis Testing for Population Mean: Population Variance Unknowna) An engineer hypothesizes that the mean hardness of a certain metallic compound is greaterthan 170. He obtains 25 samples of the material, finding the sample mean to be 175 and thesample standard deviation to be 10. Does his sample seem to indicate that the true meanhardness of this compound is greater than 170? Use a 0.05 level of significance.Circle the correct null and alternative hypotheses.i)Ho : μ = 170H₁ μ< 170ii)What is a?HoμH₁: μ= 170Η : μ = 170170H₁ μ> 170iii)Which test statistic will you use? Circle your answer.ᏃTx2iv)Calculate the value of the test statistic for the engineer's sample.v)Determine the critical value of the test statistic. Do not round or truncate.vi)Determine the P-value.vii)What is the conclusion?Accept HoReject HoFail to reject HoCircle your response.viii)Does his sample seem to indicate that the truemean hardness of this compound is greater than170? Circle your response.YESNO

Step 1: Setting Up HypothesesNull Hypothesis (H0): This is the hypothesis that the study aims to…

Answered: 2) Hypothesis Testing for Population…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a random sample of males, it was found that 28 write with their left hands and 208 do not. In a random sample of females, it was found that 74 write with their left hands and 459 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. identify z= P-value
Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 74 bpm. Use a 0.01 significance level. E Click the icon to view the pulse rate data. Pulse Rate Data Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Pulse Rate (bpm) O A. Ho: H= 74 bpm H1: H 74 bpm 57 35 104 86 ОС. Но: и» 74 bpm H1: µ<74 bpm O D. Ho: H=74 bpm H1: µ+74 bpm 97 101 62 49 59 73 Determine the test statistic. 69 45 104 42 |(Round to two decimal places as needed.) 52 105 99 36 Determine the P-value. 74 54 (Round to three decimal places as needed.) 105 60 56 82 State the final conclusion that addresses the original claim. 88 75 52 59 V Ho. There is evidence to conclude that the mean of the population of pulse rates for adult females is V 74 bpm. 82 104 97 76 76 47 97 74 63 52 93 98 104 53 35 35 100 39 Click to select your answer(s). 58 41
1. Determine the sample regression line relating infant mortality to female literacy and plot it on a new scattergram with the equation and R2 on the scattergram. 2. State the value of the correlation coefficient and coefficient of determination. 3. Does your data support the hypothesis that 1 <0. 4. Compute a 90% confidence interval estimate for 1. (use excel for regression analysis charts.) |-- Infant Mortality Rate 2021 ||- - || Female Literacy Rate 2021 | -|| 95.92 | 2.5 ||| 14.6 ||| 3.8
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 35 bag sample had a mean of 407407 grams. Assume the population variance is known to be 324. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
A sample of 3 measurements are taken and recorded: a =8, y = 10 and z = 7 The sample mean is: x = = 8.33 Fill in the table below. aj (a; - x)2 Ex: 5.34 Ex: 5.34 Ex: 5.34 82 = (z-z)*+(y-a)* +(z-z) Ex: 5.34 (z-2)*+(y-z)* +(z-) = Ex: 5.34
A coffee-dispensing machine is supposed to deliver 8 ounces of liquid into each paper cup, but a consumer believes that the actual mean amount is less. The consumer obtained a sample of 49 cups of the dispensed liquid with average of 7.75 ounces. If the sample variance of the dispensed liquid delivered per cup is 0.81 ounces, and α=0.05, the appropriate decision is ________. Question 6Select one: a. reject the 8-ounces claim b. reduce the sample size c. increase the sample size d. fail to reject the 8-ounces claim
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Suppose that we are interested in comparing the academic success of college students who belong to fraternal organizations and the academic success of those who do not belong to fraternal organizations. Random samples of size 40 are taken from each population where the variances and standard deviations are known. Sample Size Mean GPA Variance (2) 2.03 2.21 Fraternity member (f): 40 Nonmembers (n): 40 .46 .35 Construct a 96% confidence interval estimate for the difference between the mean GPAS (uf- un). Interpret this interval estimate. What can you conclude about the mean GPAs of the two groups?
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Helpp
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Write down the 4 by 4 matrix S that scales by a constant c. Multiply ST and also TS, where T is translation by (1, 4, 3). To blow up the picture around the center point (1, 4, 3), would you use vST or vT S?

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