The owner of Prices Limited claims that 75% of all items in the store are 1 point less than $5. Suppose you check a random sample of 146 items and find that 105 have prices less than $5.Test the claim at the .01 level of significance. 12. Based on your answers above, what is your conclusion? (a) Do not reject Ho (b) Reject He (c) Cannot determine O A O c O B
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- Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 7 11 13 9. 11 8 12 7 13 10 13 Sisters: 13 19 16 11 11 19 5 10 16 17 7 | d. The p-value is ? O a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work…Given H:u= 25, Hu=25, and P = 0.028. Do you reject or fail to reject H, at the 0.01 level of significance? do O fail to reject H O reject H O not sufficient information to decideA researcher belleves that 52% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.52), which is the probability that there will be 52% or more people with IQ Scores over 100 in the sample. Round your answer to four decimal places. 2022 acer
- The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a=0.05, and (c) a=0.10. P= 0.0545 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0545, is less than a= 0.01. O B. Fail to reject H, because the P-value, 0.0545, is greater than a = 0.01. O C. Fail to reject H, because the P-value, 0.0545, is less than a = 0.01. O D. Reject Ho because the P-value, 0.0545, is greater than a = 0.01,Q.9. Calculate missing frequencies from the following when mean is 13-75. No. of students : 4 8 10 12 18 24 22 frequency : 13 11 9 8 10Q23. A social psychologist records the number of outbursts in a sample of different classrooms at a local school. Answer the questions based on the statement below. (Note: These are not the results from Q19) The number of outbursts among students at this local school (M = 3) was significantly less than that in the general population, t(39) = 4.19, p < .05, d = .25. 23a. What was the sample size?n = 23b. What was the decision?A. Retain H0B. Reject H0Decision = 23c. What was the effect size?A. 39B. 4.19C. .05D. .25 Effect size =
- How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n1 = 95 single men showed that r1 = 23 went out dancing occasionally. Another random sample of n2 = 92 single women showed that r2 = 19 went out dancing occasionally. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women who do so? Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic? What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) (b) Compute a 90% confidence…Q.No.1. Given below are the marks of 40 students in a.class test out of 15:- 7.5 8.2 6.2 8.9 7.8 5.4 9.4 9.9 10.9 10.8 7.4 9.7 11.6 12.6 5.0 10.2 9.2 12.0 9.9 7.3 7.3 8.4 10.3 10.1 10.0 11.1 6.5 12.5 7.8 6.5 8.7 9.3 12.4 10.4 9.19.7 9.3 6.2 10.3 6.6 Find its D3 and P73, comment on theses quantities. Make a grouped frequency distribution of this data and again calculate its D3 and P73 Compare your results of part (a) and part (b). a. b. с.Q. 1In the population, the average score on a test of self-esteem is 50 (σ= 5). You select a randomsample of 25 students who score a mean of 53.a. Shine claims that these students don’t have very high self-esteem, because they are only 3points above the population mean. Why can’t she make this claim merely by looking atthe X? .b. What should she do? .c. What is the z-score for this sample? .d. What conclusion do you draw about your sample? .
- An instructor for a SAT preparation course claims that the course will improve the test scores of students. The table shows the critical reading scores for 10 students the first two times they took the SAT. Before taking the SAT for the second time, the students took a course to try to improve their critical reading SAT scores. At a = 0.01, is there enough evidence to support the instructor's claim? 1 200 300 2 350 420 3 250 300 4 330 390 5 200 240 6 370 480 7 320 350 8 270 300 9 220 290 10 310 350The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. 7.1 6.7 5.8 7.8 10.0 Bank A 6.5 4.2 6.6 5.4 6.8 6.2 7.2 Bank B 7.5 7.6 7.8 8.4 7.8 9.4 6.7 7.6 Click the icon to view the table of Chi-Square critical values. Construct a 90% confidence interval for the population standard deviation o at Bank A. min < ogank Amin (Round to two decimal places as needed.)Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?