Question 1 Not yet answered Marked out of1.00 l; Flag question A stemplot of a batch of data is given below. 20 7 21 4 22 011557 23 144 24 033589 25 33455 n=22 20 Trepresents 207 Use the stemplot to answer the following questions. The median of these data is... Choose... V The lower quartile of these data is... Choose... v Question 2 Not yet answered Marked out of1.00 if Flag question In one particular week, a shopper bought minced beef on two separate occasions. On the rst occasion the shopper bought 2.5kg of minced beef which was priced at 7.32 per kg. On the other occasion, the shopper bought 0.8kg of minced beef which was priced at 9.34 per kg. Calculate the mean price, in E per kg, of the minced beef the shopper bought that week. Give your answer correct to two decimal places. (Do NOT include the '' sign in your answer.) Answer: ' Question 3 Not yet answered Marked out of1.00 \\V Flag question A boxplot of some data is given below. - - I:Di _|||||||||||_ 5.0 5.1 5.2 5.3 5.4 5.5 5.5 5.7 5.8 5.9 6.0 Based on this boxplot, which of the following are valid conclusions about the data. Select one: 0 Data are left-skew; mean is less than the median 0 Data are left-skew; mean is more than the median 0 Data are left-skew; mean is about the same as the median 0 Data are right-skew; mean is less than the median 0 Data are right-skew; mean is more than the median 0 Data are right-skew; mean is about the same as the median 0 Data are roughly symmetric; mean is less than the median 0 Data are roughly symmetric; mean is more than the median 0 Data are roughly symmetric; mean is about the same as the median Question 4 Not yet answered Marked out of1.00 NE" Flag question A particular residential development consists of 10 blocks, each block comprising of a number of levels. The residents association decides that it wants to discover the attitudes of adult residents towards a proposed new community centre by surveying a sample of its members. The residents association believes that an adult resident's attitudes depend on their age, gender and whether or not they have children living with them but not whereabouts in the development they live. The residents association has 1000 members, each one an adult resident of the development. It has a list of all its members, in no particular order. The list includes the names of the residents, along with their age, gender and whether or not they have children living with them. Below are three descriptions of ways of choosing the sample. Which type of sampling does each correspond to? A sample of size ve is selected at random from all the possible Choose... v samples of ve members. Three of the blocks are chosen at random. A random sample of Choose... v ten members from each of these three blocks are then selected to be in the sample A researcher selects the first ten men and the rst fifteen Choose... V women in the residents association that she comes across to be in the sample. Question 5 Not yet answered Marked out of 1.00 Flag question Look at the figure below, which shows four residual plots labelled (a), (b), (c) and (d). Each residual plot shows the residuals when a straight line has been fitted to some data. (a) (b) Residual -1.0 0.0 1.0 Residual -1.0 0.0 1 20 22 24 26 28 30 20 22 24 26 28 30 X * (c) (d) 1.0 Residual Residual -1.0 0.0 1.0 -1.0 0.0 20 22 24 26 28 30 20 22 24 26 28 30 X A reasonable interpretation of residual plot (a) is... Choose... A reasonable interpretation of residual plot (b) is... Choose... A reasonable interpretation of residual plot (c) is... Choose... A reasonable interpretation of residual plot (d) is... Choose...Question 6 Not yet answered Marked out of 1.00 \\ Flag question Select the THREE statements about probabilities and p-values given below which are TRUE. Select one or more: In hypothesis testing, a p-value of more than 0.05 means there is weak or little evidence against the null hypothesis. The value -0.94 is a valid value for a probability. Suppose A and B are two statistically independent events. If P(A) = 0.2 and P(B) = 0.4 then P(A ed and B) must be equal to 0.08. The value 4.621 is a valid value for a p-value. If A and B are two mutually exclusive events then P(A and B) must be equal to zero. If event A is less likely than event B, then P(A) is more than P(B).Question 7 Not yet answered Marked out of1.00 if" Flag question Some pig farmers are interested in how well their breeding program is going. So one breeding season they recorded how many piglets there were in each litter. For a total of 30 litters they found that 6 of the litters contained no more than 11 piglets, 14 of the litters contained at least 13 piglets and 10 of the litters contained exactly 12 piglets. Suppose a sign test is carried out to test the hypothesis that the median size of a litter is 12. Select the TWO statements which are TRUE. Select one or more: _ The sample size that should be used in the test is 30. The sample size that should be used in the test is 10. | l The test statistic is 20. | l The test statistic is 6. | l The test statistic is 5. | l The test statistic is 30. | l The sample size that should be used in the test is 20. | l The test statistic is 14. | l The test statistic is 9. Question 8 Not yet answered Marked out of1.00 \\7 Flag question In a population, the mean is known to be 80.2 and the standard deviation is known to be 20.32. Suppose a random sample of size 64 is taken from this population. What can be said about the distribution of the sample mean? Select one: Q It is approximately normal, with mean 80.2 and standard deviation 0.32 Q It is approximately normal with mean 80.2, but the standard deviation is not known. 0 There is not enough information to say anything about this distribution. 0 It is approximately normal, with mean 80.2 and standard deviation 20.32. 0 It is approximately normal, with mean 80.2 and standard deviation 7.18. Q It is approximately normal, with mean 80.2 and standard deviation 2.54. Q It is approximately normal, but with unknown mean and unknown standard deviation. Question 9 Not yet answered Marked out of1.00 \\7 Flag question Suppose that in a population of households, the proportion that own a pet cat is 0.16. Also that in the same population, the proportion of households that own a pet dog is 0.33. The proportion of households in this population that own a pet cat and a pet dog is 0.1 0. What proportion of households in this population own a pet cat or pet dog or both? (Give your answer to two decimal places.) Answer: Question 10 Not yet answered Marked out of1.00 \\7 Flag question In study of who passes their driving test, the age and gender of 400 people passing their driving test on one particular day was recorded. The results were as follows: Age Male Female Total younger than 20 91 57 148 2D to 29 43 86 129 30 or older 85 38 123 Total 219 181 400 Using these results the relationship between the age and gender of people passing the driving test is to be tested using the )(2 test for contingency tables. In this test, what is the expected value for women younger than 20 passing their driving test. (Give your answer correct to three decimal places.) Answer: ' Question 11 Not yet answered Marked out of1.00 \\ Flag question Below are four descriptions of a relationship between two variables. For each description select the value of the correlation coefcient out of the options provided that best matches it. An exact negative linear relationship. Choose... A very strong positive (but not exact) relationship, which is approximately linear. Choose... No obvious relationship. Choose... An obvious negative linear relationship about which the points are quite widely Choose... scattered. Question 12 Not yet answered Marked out of 1.00 \\ Flag question A one-sample t-test was used to test the following hypotheses: Ho: H = 5.92 and H1: u # 5.92. Select the pair of 95% and 99% confidence intervals (which were based on the t-test) that are consistent with the following conclusion: 'There is strong evidence against the null hypothesis. In fact the population mean appears to be less than 5.92.' Select one: O The 95% confidence interval is (4.38,6.84) and the 99% confidence interval is (3.99,7.23). O The 95% confidence interval is (2.74,5.20) and the 99% confidence interval is (2.35,5.59). The 95% confidence interval is (6.20,8.66) and the 99% confidence interval is (5.81,9.05). The 95% confidence interval is (3.31,5.77) and the 99% confidence interval is (2.92,6.16). O The 95% confidence interval is (6.89,9.35) and the 99% confidence interval is (6.50,9.74).Question 13 Not yet answered Marked out of 1.00 \\ Flag question A horticulturalist wishes to test if runner beans produced by one variety (variety 'A') are less affected by pests and diseases than runner beans produced by another variety (variety 'B'). In particular the horticulturalist wishes to test the hypotheses Ho: HA = HB and H1: HA