<You are interested in whether the average lifetime of Duracell AAA batteries is lessthan the average lifetime of Energizer AAA batteries. You lay out your hypotheses asfollows: Null Hypothesis: ₁ 2 μ2, Alternative Hypothesis: H₁ H₂ (Duracell = Group1, Energizer = Group 2). You perform an experiment on 23 randomly selectedDuracell AAA batteries and 33 randomly selected Energizer AAA batteries and testthem using a battery drainer. The Duracells had an average lifetime of 28.88 hours(SD = 2.519 hours) while the Energizer batteries had an average lifetime of 28.55hours (SD = 2.712 hours). Assuming the population standard deviations to be equal,what is the test statistic and p-value of this test?1) Test Statistic: 0.461, P-Value: 0.32332) Test Statistic: 0.461, P-Value: 0.67673) Test Statistic: 0.461, P-Value: 1.35344) Test Statistic: -0.461, P-Value: 0.32335) Test Statistic: -0.461, P-Value: 0.6767

From the provided information, n1=23x1=28.88s1=2.519n2=33x2=28.55s2=2.712

Answered: You are interested in whether the…

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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(d) Interpret the hypotheses H: Bo + 1268, = 80 and H: Bo + 126B, < 80. Assuming the filtration rate is 126 kg-DS/m/h, we would test to see if the average moisture content of the compressed pellets is less than 80%. Carry out a hypothesis test at significance level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Reject Ho: There is significant evidence to prove that the true average moisture content for a filtration rate of 126 kg-DS/m/hr is less than 80%. O Fail to reject Hp: There is significant evidence to prove that the true average moisture content for a filtration rate of 126 kg-DS/m/hr is less than 80%. O Reject Hn. There is not significant evidence to prove that the true average moisture content for a filtration rate of 126 kg-DS/m/hr is less than 80%. O Fail to reject Hn: There is not significant evidence to…
4. The amount of contaminants in two independent samples (comprised of independent subjects) from two distinct bird species is measured in a veterinary hospital. The summary of the data is presented below. Data from Pop. 1 Data from Pop. 2 n1=13 71=1.12 $1=0.52 72=D15 I2=1.49 S2=0.70 We are interesting in testing Ho: -P2=0, versus H,: A-A20. And we will mnake the normality assumption. (a) Suppose that we know the population variances: of = 0.1, o = 0.2. Design the test and find its pvalue. What conclusion do you reach at significance level 5%? (b) Suppose that the researchers do not trust these population vari- ance values, and would like to do the test based on the sample variances provided above. Assuming equal variance, how would your conclusions changed? %3D
According to Facebook's self-reported statistics, the average Facebook user has 130 Facebook friends. For a statistics project a student at Contra Costa College tests the hypothesis that CCC students will average more than 130 Facebook friends. She randomly selects 3 classes from the schedule of classes and distributes a survey in these classes. Her sample contains 45 students. Here are the null and alternative hypotheses for her study: H: μ = 130, H: μ> 130. What does μ represent in these hypotheses? A. O Mean number of Facebook friends for the average user B. Mean number of Facebook friends for CCC students C. O Mean number of Facebook friends for the CCC students in her sample
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2. A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α=0.05. (d) Conclusion for the problem above is Do not reject the null hypothesis and new insecticide does not kill more than 95% of roaches upon contact. O Reject the null hypothesis and new insecticide kills more than 95% of roaches upon contact. Reject the null hypothesis and new insecticide does not kill more than 95% of roaches upon contact. Do not reject the null hypothesis and new insecticide kills more than 95% of roaches upon contact.
A prominent university conducted a survey on the effect of part-time work on student grade point average (GPA). Let x be the hours worked per week and y the GPA for the year. A summary of the results is below. What can the university conclude with α = 0.05? n=31 Σ y= 56 , Σ x=515 Σ y^2= 128 , Σ x^2= 11022 Σ yx= 827 , Σ (y- ŷ)² = 23 A) Compute the quantities below. b̂0= & b̂= What GPA is predicted when a students works 18 hours a week? B) Obtain/compute the appropriate values for H1: β > 0. critical value = test statistic= C) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.
A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above is
suppose media reports that only 37% of doctors recommend wearing face masks.You suspect this is incorrect, so you sample 66 random doctors and find that 15 of them recommend wearing face masks. State the alternative hypotheses of this test. Alternative Hypothesis (Ha):p = To test our hypothesis, we will assume that p= What is the value of np rounded to 2 decimal places? What is the value of n(1−p) rounded to 2 decimal places? Is the success-failure condition of the Central Limit Theorem satisfied? Yes. Both npnp and n(1−p)n(1-p) are ≥15≥15. No. Either np<15np<15 or n(1−p)<15n(1-p)<15. multiple choice (5)
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion is less than 0.10, she will reject the shipment. To reach a decision, she will test the hypotheses Ho: p=0.10, Ha p<0.10 To do so, she selects an SRS of 150 potatoes from the more than 3000 potatoes on the truck. Suppose that six of the potatoes sampled are found to have major defects. Which of the following assumptions for inference about a proportion, using a hypothesis test, are violated? O The data are an SRS from the population of interest. O There appear to be no violations. O The population is at least 10 times as large as the sample. n is so large that both npo and n(1-Po) are 10 or more, where po is the proportion with major defects, if the null hypothesis is true.
The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the crimes reported after is less than those reported before and, thus, the hypotheses are as follows: Null Hypothesis: µp > 0, Alternative Hypothesis: HD < 0. You perform a paired sample t-test and see a p-value of 0.5351. What is the appropriate conclusion? We did not find enough evidence to say the average difference in crimes O1) reported was not 0. The program does not appear to have been effective. We did not find enough evidence to say there was a significantly negative average difference in crimes reported. The program does not appear to have O 2) been effective. We did not find enough evidence to say there was a…
The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 371 convicted sex offenders who were also drug addicts, 45 of them became repeat offenders. What can be concluded at the αα= 0.01 level of significance?For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal)The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 13% at αα= 0.01, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is lower than 13%.The data suggest the population proportion is not significantly…

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