The type of alloy used in manufacturing electric wire is important in reducing resistance. It hasbeen suggested that the use of one type of alloy can reduce the wire resistance by more than 0.05ohm. An experiment was conducted two types of wire, one with the alloy added and a secondwithout the allow added. The mean resistances of 32 samples of each type of wire resulted in amean resistance of the wire with alloy added being 0.136 ohm and the resistance of the wirewithout the allow added was 0.083 ohm. The standard deviation associated with this type ofexperiment is known to be 0.0045 ohm.a) Test the claim that resistance of electric wire can be reduced by more than 0.05 ohm by addingan alloy to the wire. Use a significance value of 0.05.b) Verify the conclusion in part a) with the p-valuec) Verify the conclusion in part a) with the appropriate confidence intervalNote that in this problem, populations variances are KNOWN. Samples are large enough(greater than 30) that no assumptions are required about population distributions. Also note thatAo is not equal to zero

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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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A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample I for Men vs Women Mean 112.8 118.1 StDev SE Mean Men Women 95% Cl for mu Men - mu Women (-9.81, - 0.79) T-Test mu Men = mu Women (vs <) T= - 2,34 P = 0.0104 DF = 126 54 11.2 14.5 1.5 75 1.7 P-value = 0.0104 State the researcher's conclusion. Which of the following is correct? O A. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O B. Reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O C. Fail to reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men…
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The average age of licensed drivers in a county is µ = 42.6, s= 10, and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers receiving parking tickets differed from the average age of the driving population. She obtained a sample of N = 100 drivers receiving parking tickets. The average age of these drivers was M = 40.6. Say the researcher wants to determine whether this group differs from the population of drivers in the county. Use an alpha level of 0.05 (zcrit=1.96 (two-tailed test)/ zcrit=1.65 (one-tailed test)). 31. What are the null and alternative hypotheses? 32. What is the z statistic associated with this case? 33. Using the z critical information available, draw a normal distribution and fill in the observed z statistic, z critical and make the decision for the hypotheses based on the available information.
LSU's Ag. Center wants to determine whether the mean yield for sugarcane is different this year compared to the historical avg of 8,700 lbs of sugar per acre. Thus, the null and alternative hypotheses are Ho: mu = 8,700 Ha: mu is not = to 8,700 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 100 different acres. From this sample, you calculate a mean yield of 8,853 and a std deviation of 1,150. What are the bounds for the acceptance region for this hypothesis test? Group of answer choices -1.64 to 1.64 -2.58 to 2.58 -1.33 to 1.33 -1.96 and 1.96
In each of the following settings, decide whether the samples are independent or dependent. Explain your choice.a. To test the wear characteristics of two tire brands, A and B, each brand of tire is randomly assigned to 50 cars of the same make and model.independentb. To test the effect of background music on productivity, factory workers are observed. For one month, each subject works without music. For another month, the subject works while listening to music on an MP3 player. The month in which each subject listens to music is determined by a coin toss.dependentc. A study was designed to compare the effectiveness of two weight-reducing diets. Fifty obese women who volunteered to participate were randomly assigned into two equal-sized groups. One group used Diet A and the other used Diet B. The weight of each woman was measured before the diet was assigned and again after 10 weeks on the diet.dependent
Two separate samples receive two different treatments. The first treatment group (N = 9) has a mean of 50 with SS = 710. The second treatment group (N = 6) has a mean of 60 with SS = 460. Is the second treatment group significantly larger than the first? What is the effect size?
Earlier in this chapter we described a study by Bartholow and Anderson (2002) examining how the experience of violence in video games influenced aggressive behavior for males and females. Their results suggest that increased violence increase aggressive behavior for males but has little or no effect for females. The following data are measures of aggressive behavior similar to the results obtained in the study. Use an ANOVA with α=.05 to evaluate the data. Describe the effect of the violent game compared with a nonviolent game on the aggressive behavior for males and for females. Calculate the effect size (η2) for each main effect and for the interaction.
9.4 Differences between Proportions
Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better test scores than students who studied from text presented on a screen. In a related study, a professor noticed that several students in a large class had purchased the e-book version of the course textbook. For the final exam, the overall average for the entire class was μ = 81.7 but the n = 9 students who used e-books had a mean of M = 77.2 with a standard deviation of s = 5.7. Is the sample sufficient to conclude that scores for students using e-books were significantly different from scores for the regular class? Use a two-tailed test with α = .05.
LSU's Ag. Center wants to determine whether the mean yield for sugarcane is different this year compared to the historical avg of 8,700 lbs of sugar per acre. Thus, the null and alternative hypotheses are Ho: mu = 8,700 Ha: mu is not = to 8,700 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 100 different acres. From this sample, you calculate a mean yield of 8,853 and a std deviation of 1,150. What is the test statistic for this hypothesis test? (To two decimal places. ex: 1.23)
The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 different cereals. TI-83>84 Plus calculator results are shown below. Is there sufficient evidence to support the claim that there is a linear correlation between sugar and calories in a gram of cereal? Explain. LinRegTTest y=a+bxß≠0 or ρ≠0↑df=14a= -188.3423729b=5.789830508s=11.17312583r2=.5858430396r=.7654038409
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r = 0.862. Using a = 0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Click here to view a table of critical values for the correlation coefficient. a. Is there a linear correlation between chest size and weight? O A. No, because the absolute value of r exceeds the critical value of 0.707. O B. Yes, because r falls between the critical values of -0.707 and 0.707. O C. Yes, because the absolute value of r exceeds the critical value of 0.707. O D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? (Round to three decimal…

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