The students in a weight-loss aerobics class have been weighed both before andafter the 5-week class, with the following results:WeightBeforeWeightAfterPersonNumber1198 lb194 lb21541513124126411010412712316215571411298180165Using the 0.05 level of significance, evaluate the effectiveness of the program. UseDependent Samples T-Test.

The Dependent samples T - test (or) Paired samples T - test should be used, When we are going to…

Answered: The students in a weight-loss aerobics…

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 standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results: Old Curriculum New Curriculum Mean 65.06382979 66.5106383 Variance 822.4523589 127.5161887 Obervations 47 47 Hypothesized Mean Difference 0 df 60 t Stat -0.321814324 P(T<=t) 0.37 t Critical one-tail 1.670648865 P(T<=t) two-tail 0.75 t Critical two-tail 2.000297822 You decide to use the conventional p=.05 as your…
A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior. Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Do reject or fail to reject H0?
Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.
A standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results: Old Curriculum New Curriculum Mean 68.76595745 75.4893617 Variance 22.226642 33.8640148 Obervations 47 47 Hypothesized Mean Difference 0 df 88 t Stat -6.154501628 P(T<=t) 0.00 t Critical one-tail 1.662354029 P(T<=t) two-tail 0.00 t Critical two-tail 1.987289865 You decide to use the conventional p=.05 as your…
Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level. H0:μw≤μeHa:μw>μe t0=0.511 t0.02=2.104 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. Yes; the test statistic is less than the critical value.
A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. 1.Compute the p-value. 2. Does the evidence support the computer manufacturer's claim at the 10% significance level?
A standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results: Old Curriculum New Curriculum Mean 75.31914894 65.65957447 Variance 118.613321 801.1424607 Observations 47 47 Pooled Variance 459.8778908 Hypothesized Mean Difference 0 df 92 t Stat 2.1835887807 P(T<=)one tail 0.015768226 t Critical one-tail 1.661585397 P(T<=t) two-tail 0.031536452 t Critical two-tail 1.986086317 You decide to use the conventional p=.05 as your cutoff for statistical significance. What do you conclude from this analysis? a.…
Using an AES analysis of 1000 randomly selected samples of commercial bronze, 10.6% of the metal is Zinc. With a significance level of 0.05, test the hypothesis that the total metal concentration in all commercial bronze is greater than 12.5% Zinc.
Using an AES analysis of 1000 randomly selected samples of commercial bronze,10.6% of the metal is Zinc. With a significance level of 0.05, test the hypothesis that the total metal concentration in all commercial bronze is greater than12.5% Zinc.
A professor at a large university believes that students take an average of 15 credit hours per term. A random sample of 22 students in her class of 250 students reported the following number of credit hours that they were taking: 12 12 12 13 13 14 14 14 14 15 15 15 16 16 16 16 16 17 17 18 19 21 Does this sample indicate that students are taking more credit hours than the professor believes? Test an appropriate hypothesis and state your conclusion at 5% significance level. Which method will you use to perform the test? Choose the correct one. a1-sample T test b2-sample T test c-sample Z test d-sample T teste- e1proportion Z test.
A producer of chocolate bars hypothesizes that his production does not adhere to the weight standard of 100g. As a measure of quality control, he weighs a random sample of 15 bars and obtains the following results in grams: 96.40, 97.64, 98.48, 97.67, 100.11, 95.29, 99.80, 98.80, 100.53, 99.41, 97.64, 101.11, 93.43, 96.99, 97.92. It is assumed that the production process is standardized in the sense that the variation is controlled to be σ = 2. Is there sufficient evidence to support the producer’s hypothesis? Perform a test at the 5% significance level.
A producer of chocolate bars hypothesizes that his production does not adhere to the weight standard of 100g. As a measure of quality control, he weighs a random sample of 15 bars and obtains the following results in grams: 96.40, 97.64, 98.48, 97.67, 100.11, 95.29, 99.80, 98.80, 100.53, 99.41, 97.64, 101.11, 93.43, 96.99, 97.92. It is assumed that the production process is standardized in the sense that the variationis controlled to be σ = 2. Is there sufficient evidence to support the producer’s hypothesis? Perform a test at the 5% significance level.

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