5. Assume that you plan to use a significance level of a = 0.05 to test the claim that p1 = P2.Use the given sample sizes and numbers of successes to findthe z test statistic, (b) the critical z values, and (c) the P-value.FemalesMalesn₁ = 1068X1 = 332n₂ =1220X2 = 420

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Answered: 5. Assume that you plan to use a…

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 kilo restaurant implemented a change in the composition and presentation of its dishes. We want to assess whether the average weight of meals served is greater after the changes, compared to the previous average, which was 640. For this purpose, the weights of dishes from a random sample of 10 customers were taken. The average weight of dishes in the sample was 656 and the variance 144. Use a statistical test for the evaluation. Adopt a significance level of 10%. a. What is the value of the test statistic? b. What range of values is the p-value in? c. At the 10% significance level, can you reject the null hypothesis?
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 101.13, y = 103.5, r=0.867, P-value = 0.000, and y = 6.25 +0.96x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 101? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of ŷ is. (Round to two decimal places as needed.)
A kilo restaurant implemented a change in the composition and presentation of its dishes. We want to assess whether the average weight of meals served is greater after the changes, compared to the previous average, which was 640. For this purpose, the weights of dishes from a random sample of 10 customers were taken. The average weight of dishes in the sample was 656 and the variance 144. Use a statistical test for the evaluation. Adopt a significance level of 10%. a. What is the distribution of the test statistic? b. What kind of alternative hypothesis? c. What is the test's critical value (the value that defines the critical region), on the scale of the test statistic? (If the test is bilateral, enter only one of the values.)
In the General Social Survey, respondents were asked "If your party nominated a woman for President, would you vote for her if she were qualified for the job?" A two-way table summarizing the results for 953 respondents, by gender, is shown below: Gender Female Male Total Vote for female candidate? Yes No 488 66 335 64 823 130 The chi-square test statistic = 3.35. At a significance level of 0.05, what is your conclusion? O The null hypothesis is not rejected: there is no association between gender and support for a female president Total 554 399 953 O The null hypothesis is rejected: there is an association between gender and support for a female president. O The null hypothesis is not rejected: there is an association between gender and support for a female president. ty O The null hypothesis is rejected: there is no association between gender and support for a female president. Q Search or enter address +
What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2
A physician who specialized in weight control has three different plans he recommends. TTISIT As an experiment, he randomly selected 12 patients and then assigned 4 to each diet. After three weeks, the following weight losses, in pounds, were noted. Plan A Plan B Plan C 15 15 19 16 17 19 Grand Mean=17 14 19 21 15 17 17 Mean 2=17 Mean 3=19 Mean1=15 Use 0.05 significance level, to test if the plans are different. Question: Calculate the following, only: The SStotal, the SSE, the SST, dfT, dfE, VarT, VarE, and the test statistic F. Note: Write the details of your calculations for the Sum of Squares, only, and the final Result for the others. Type your answers on the Response Template. (without the formulas).
A sociologist believed that the average family size in Saskatchewan was larger than the average family size in British Columbia. Random samples from the two provinces yielded the following results: s? Saskatchewan (Pop 1) British Columbia (Pop 2) 3.45 1.34 60 2.89 1.32 52 Test at a = 0.05 whether there is sufficient evidence to support the claim. As well, calculate the p-value for this test.
Consider the data below. Three random samples in different cities were selected. Water use per household per day were measured. City 1 City 2 City 3 70 66 66 70 64 66 55 45 54 60 41 61 65 58 65 45 44 65 55 46 Test the claim that the samples come from populations with the same mean. Assume all requirements have been met. Use a 5% level of significance. Identify the tail of the test. [ Select ] Find the P-value. I [ Select ) Will the null hypothesis be rejected? Select] Do the populations appear to have the same mean? [Sclect
44
What is the standard error for the independent sample t statistic for the two samples? Sample 1 n = 6, SS = 56 Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 102.13, y = 101.35, r= 0.927, P-value = 0.000, and y = 2.05 + 0.97x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 103? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r The best predicted value of y is (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r a = 0.05 a = 0.01 NOTE: To test Ho: p=0 Jagainst H,: p#0, reject H, lif the absolute value of r is greater than the critical value in the table. 4. 0.950 0.990 0.878 0.959 6 0.811 0.917 0.754 0.875 8. 0.707 0.834 0.666 0.632 0.602 9 0.798 10 0.765 11 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 0.468 0.456 18 0.590 19 0.575…
. Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n=25, x=24.4, s=9.2. Use a significance level of a=0.05 Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Why did you choose to reject or fail to reject the null hypothesis? Nontechnical conclusion addressing the original claim:

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5. Assume that you plan to use a significance level of a = 0.05 to test the claim that p1 = P2. Use the given sample sizes and numbers of successes to find the z test statistic, (b) the critical z values, and (c) the P-value. Females Males n₁ = 1068 X1 = 332 n2 =1220 X2 = 420