The number of "destination weddings" has skyrocketed in recent years. for example, many couples are opting to have their weddings in the caribbean. a caribbean vacation resort recently advertised in bride magazine that the cost of a caribbean wedding was less than $30,000. listed below is a total cost in $000 for a sample of 8 caribbean weddings. at the 0.10 significance level, is it reasonable to conclude the mean wedding cost is less than $30,000 as advertised 29.128.528.829.429.829.830.130.6 a. state the null hypothesis and the alternate hypothesis. use a 0.10 level of significance. (enter your answers in thousands of dollars.) h0: μ ≥ h1: μ < b. state the decision rule for 0.10 significance level. (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) reject h0 if t < c. compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 3 decimal places. value of the test statistic d. what is the conclusion regarding the null hypothesis?

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

The weight of full–grown tomatoes at a farm is modeled by a normal distribution with a standard deviation of 18.4 grams. the 95 percent confidence interval for the mean weight of the tomatoes is calculated using a sample of 100 tomatoes. what is the margin of error (half the width of the confidence interval)?

The total cost of anja’s trip to the dentist was $628.35. she paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. which shows the correct equation and value of x, the cost of each cavity filling?