Question

10. A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 13 randomly selected boys is 151 with a standard deviation of 36, and the mean score for 15 randomly selected girls is 149 with a standard deviation of 34. At a 0.01, can you reject the teacher's claim? Assume the populations are normally distributed and the population variances are not equal. Но Type of test -tail test P-value (Show TI 84/83 input) Test Statistic: Sketch the Test Statistic and its P-value. Draw and label with all relevant information on the graph. -3 2 -10 1 3 Why or why not? Reject Ho? Conclusion: As a market analyst, you wished to see whether consumers have any preference among five flavors of a new fruit 1l. soda. A sample of 100 people provided these data: Cherry StrawberryOrange Lime Grape 30 23 17 15 15 Assume that there were no preference, you would expect each flavor to be selected with equal frequency, In this case, the equal frequency is 100+5 20. That is, approximately 20 people would select each flavor. Is there enough evidence to reject the claim that there is no preference in the selection of fruit soda flavors, using data shown previously? Use a 0.05. (Hint: Use x'GOF-Test) H1 a) Ho Degrees of freedom b) a ! ㄧㄧㄧ-P-value (Sho . T 84 83 input), ㄧㄧㄧㄧㄧ˙ c) Test Statistic. ㅡ ㄧ ㅡ Draw and label with all relevant information on the graph Sketch the Test Statistic and its P-value. Why or why not? d) Reject Ho? e) Conclusion 12. Listed below are amounts of bills for dinner and the amounts of the tips that were left. Bill (dollars): Tip (dollars): 33.46 50.68 87.92 98.84 63.60 107.34 5.50 5.00 8.08 17.00 12.00 16.00 Find the value of the linear correlation coefficient r. a) b) Find the P-value Use a significance level of α-0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. c) Find the regression equation (Show your work) Find the best predicted tip amount for a dinner bill of $100. d) 13. The data shown in the table represent the GPAs of randomly selected freshmen, sophomores,juniors, and seniors. At a0.08, can you conclude that there is a difference in the means of the GPAs? Assume that the populations of GPAs are normally distributed and that the population variances are equal. Freshmen2.34 238 3.31 2.39 340 2.70 2.34 Sophomores 326 222 3.26 3.29 2.95 3.01 313 3.59 2.84 3.00 Juniors2.80 2.60 249 2.83 2.34 3.23 349 3.03 287 331 235 3.27 2.86 2.78 275 3.05 331 Seniors a) Identify the claim and state Ho and H H1 Но Perform the ANOVA test to find the test statistic F and P-value. Sketch a graph. b) P-value c) Decide whether to reject the null hypothesis. Reject Ho? Why or why not? d) Interpret the decision in the context of the claim. Conclusion Page| 11

Answer 1

Date:--31/05/2019 Answer:--- 10. Null Hypothesis (Ho): u1 u2 Alternative Hypothesis (Ha): μ1 ? μ2 Pooled standard deviation. Sp v[(n 1-1 )s1^2+(n2-1)s2^2]/(n1+n2-2) Pooled standard deviation, Sp-V[(13-1)(36)2+(15-1)(34) 2]/(13+15-2) Pooled standard deviation. Sp= v 1220.615 Pooled standard deviation, Sp 34.937 Test statistics tX-bar - X-bar2)/Sp v1/nl +1/n2 t (151-149)/34.937 v1/13 + 1/15 t 0.15 Degrees of freedom, df-nl + n2-2-13 15-2 26 Using t-tables, the p-value is P [t (26)? 0.15]-0.8819 Since p-value is greater than 0.01 significance level, we fail to reject Ho. Hence, we cannot reject the teacher's claim.

as per HomeworkLib policy i answerd the 1st question.