The number of destination weddings has skyrocketed in recent years. For example, many couples are opting to have their weddings in the Carribean. A recent advertisement recently stated that the cost of a Carribean wedding was less that $30,000. Here is a sample of 8 weddings ($28,500) ($29,500) ($29,900) ($30,200) ($29,200) ($30,400) ($29,000) ($28,900). At the 0.05 significance level, is it reasonable to conclude the mean wedding cost is less than $30,000 as advertised?  State the null and alternative hypothesis. Use a 0.05 level of significance (round to 3 decimal places).  State the decision rule for 0.05 significance level (round to 3 decimal places).  Compute the value of the test statistic (round to 3 decimal places).

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 44% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to >.

A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased.  In the local area there are three main retailers: W-Mart, Tag, and URToy.  For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. Compute the percentage of variance explained by the group differences for these data. Q: Percentage and variance explained = ?

In a statistics activity, students are asked to spin a penny and a dime and determine the proportion of times that each lands with tails up. The students believe that since a dime is lighter, it will have a lower proportion of times landing tails up compared with the penny. The students are instructed to spin the penny and the dime 30 times and record the number of times each lands tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Let pp = the true proportion of times a dime will land tails up and pp = the true proportion of times a penny will land tails up. The P-value for this significance test is 0.296. Which of the following is the correct conclusion for this test of the hypotheses H Pp-Pp=0 and H, Po-Pp 0.05. There is sufficient evidence that the true proportion of times a dime will land tails up is significantly less than the penny. O The student should reject the null hypothesis since 0.296 > 0.05. There is insufficient…