The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 34 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 38 days, 32 days, and 46 days. Find the z-score that corresponds to each life span. Determine whether an of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 39 days, 44 days, and 24 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 38 days is (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 32 days is (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 46 days is (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. O A. 46 days O B. 38 days

Five students took a self-confidence test. Their deviation scores were –4, +3, +1, –2, and +2. Assuming that these scores com form a normaldistribution, which deviation represents the highest raw score?

You may need to use the appropriate technology to answer this question. Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A was s₁ = $583 million. The standard deviation of the amount managed by advisers from Company B was s₂ = $484 million. Conduct a hypothesis test at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. 2 2 H₂:0 2 Find the value of the test statistic. (Round your answer…

A taxi company operates in two different regions, and it is analyzing the prices of rides in those regions. It has compiled the prices (in dollars) of 101 rides in each of the two regions during the last week. The histograms below show the distributions of the two data sets. Each histogram shows price (in dollars) on the horizontal axis and the number of taxi rides on the vertical axis. The means and standard deviations for the data sets are also given. Region A 25- 20+ 15+ 10+ 5+ 1₂ 0.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5 50.5 Region A mean: $25.28 Region A standard deviation: $7.95 25 Expl 20- 15+ 10+ neck 5+ 0A 0.5 5.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5 50.5 (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) data set. The company wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on…