An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independentrandom samples were taken of plants using electricity and plants using gas. These samples consisted of 7 plants using electricity, which had a mean cost perunit of $36.41 and standard deviation of $8.53, and 13 plants using gas, which had a mean of $46.50 and standard deviation of $8.60.Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal.Can we conclude, at the 0.10 level of significance, that u, the mean cost per unit for plants using electricity, differs from H,, the mean cost per unit for plantsusing gas?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list offormulas.)(a) State the null hypothesis H and the alternative hypothesis H,.Ho :0H, :0(b) Determine the type of test statistic to use.(Choose one)D=0OSOO20(c) Find the value of the test statistic. (Round to three or more decimal places.)O An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independentrandom samples were taken of plants using electricity and plants using gas. These samples consisted of 7 plants using electricity, which had a mean cost perunit of $36.41 and standard deviation of $8.53, and 13 plants using gas, which had a mean of $46.50 and standard deviation of $8.60.Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal.Can we conclude, at the 0.10 level of significance, that u, the mean cost per unit for plants using electricity, differs from H,, the mean cost per unit for plantsusing gas?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.Ho :0H, :0(b) Determine the type of test statistic to use.(Choose one) vD=0OSO(c) Fe test statistic. (Round to three or more decimal places.)ロロChi-Square(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)I and O(e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean costper unit for plants using gas?O Yes ONoolo

Use the Two sample independent t test Sample Mean 36.41 Standard Deviation (S1)…

Answered: Perform a two-tailed test. Then…

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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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H0: σ = 3 H1: σ ≠ What type of test is being conducted in this problem? Two-tailed test Left-tailed test Right-tailed test
Life on Other Planets Forty-three percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 120 randomly selected individuals and found 69 believed that there is life on other planets. At α=0.01, is there sufficient evidence to conclude that the percentage differs from 43% ? Use the P -value method with tables. :H0 ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ▼(Choose one) test. (b)Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical Value(s): (c)Compute the test value. Round the answer to at least two decimal places. z= (d)Make the decision. (choose one) the null hypothesis (e)Summarize the results. There is ▼(Choose one) that the percentage of people who believe that there is life on other planets differs from 43% .
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 104 and s = 11.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a.) Reject H0. There is insufficient evidence to conclude that ? ≠ 100. b.) Do not reject H0. There is sufficient evidence to conclude that ? ≠ 100. c.) Do not reject H0. There is insufficient evidence to conclude that ? ≠ 100. d.) Reject H0. There is sufficient evidence to conclude that ? ≠ 100. (b) x = 95.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.…
You are conducting a multinomial hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency SquaredPearsonResidual A 5 B 12 C 24 D 5 E 8 What is the chi-square test-statistic for this data?χ2=χ2= Report all answers accurate to three decimal places.
Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering dlass must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is 117, with a standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, p, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b)…
Step 1 of 3. State the null and alternative hypotheses for the test. Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places Step 3 of 3. Draw a conclusion and interpret the decision.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.6 versus H,: p>0.6 n= 125; x= 90; a 0.05 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, zo: Zo !D (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = Chi Square test statistic = ______ Group of answer choices
In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 171 houses built in Southern California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses contained 76 houses with pools, and the sample of new houses contained 30 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion p, of all Southern California twentieth century houses that were built with pools is greater than the proportion p, of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the…
AGE MINDTAP hapter 7 and 9 Homework Consider the following hypothesis test: Hạ: p2 0.75 H: p< 0.75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use a =.05. Round your answers to four decimal places. a. p=0.64 p-value Conclusion: p-value less than or equal to 0.05, reject На b. p 0.75 P-value Conclusion: p-value greater thán 0.0s, do nat reject На Cp-0.7 p-value Conclusion: pvalue less than or equal to 0.05, reject d. p 0.77 Pvalue Conclusion: value oreater than O.05, de not reject Partially Correct

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