For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous.  (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfish

The average fruit fly will lay 420 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 392, 396, 409, 434, 401, 393, 394, 420, 436, 435, 410, 430, 431, 416, 403 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer H1: ? Select an answer c. The test statistic | ? ▼ (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is (? f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that .. . The data suggest that the population mean number of eggs that fruit flies…

Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, the mean of the distribution is 4.8. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient’s doctor are 4.2, 4.9, 4.5, 4.1, 4.4, 4.3 with a sample mean of (x̄= 4.4) and a sample standard distribution s =.28. Do the given data indicate that the mean RBC count for this patient is lower than 4.8? Use α = 0.05. a)What is the null hypothesis? H0= _________ b)What is the alternate hypothesis? H1__________ c)Calculate the degrees of freedom___________ d)What test will be used in this example? ________________________________ e)Calculate the test statistics (t)

Please explain each step and why you did what you did!