A fruit seller claims that customers who purchases lemons are more likely to purchase limes. To test their claim, they tally up the number of customers who purchase these two fruits in a given day. The observed frequencies are given in the 2 x 2 contingency table below. bought lemons did not buy lemons totals 29.867 35.98 38.043 Complete the table of expected frequencies assuming the null hypothesis that buying lemons and buying limes are independent. bought limes did not buy limes totals 27 56 15 34 42 90 bought lemons (expected) did not buy lemons (expected) 21.776 26.133 32.641 29 19 48 (a) Find the expected frequency of customers who bought lemons and limes. O 8.791 bought limes (expected) did not buy limes (expected) (a) (b) (d) (c) (b) Find the expected frequency of customers who bought lemons but not limes. 4.822 (c) Find the expected frequency of customers who bought limes but not lemons. O 16.218 18.133 24.773 43.393

The expected proportions of colors of M&Ms according to the Mars candy company can be found in the table below. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 1% level, do the observed frequencies support the claim of M&M? M&M Observed Counts and Expected Proportions   blue brown green orange red yellow Total Observed Frequencies 474 379 489 550 363 359 2614 Expected Proportion 0.24 0.13 0.16 0.2 0.13 0.14

A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 526 games is selected and the results are given below. Find the expected frequency for E2,2 to test the claim that the number of home team and visiting team wins are independent of the sport. Round to the nearest tenth if necessary.                                            Football      Basketball      Soccer     Baseball Home Teams Wins            38                 153                 27              85 Visiting Team Wins           32                   96                 18               77

One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 35 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 35 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 39.l minutes with a standard deviation of 2.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.10 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40. The value of the mean is u = peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o =| peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not? The result significantly low, because 2 peas with green pods is peas.…

One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 45 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 45 minutes for the cable technician to arrive. The customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 47.9 minutes with a standard deviation of 7.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.01 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho : μ = 45 Ha:μ 45

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.