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Wildlife Hummingbirds Selasphorus sasin is the scientific name for what is commonly called "Allen Hummingbird" This beautiful hummingbird lives on the west coast of the United States and is named C.A. Allen (1841-1930) , who studied these birds extensively. Let x be a random variable that represents the incubation time for the Allen Hummingbird eggs. The x distribution has a mean of µ = 16 days. Let us assume that the standard deviation is approximately σ = 2 days. The distribution of x values is more or less mound-shaped and symmetrical but not necessarily normal. Suppose that we have n = 30 eggs in an incubator. Let xbar be the average incubation time for these eggs.
a) What can we say about the probability distribution of xbar? It is approximately normal? What are the mean and standard deviation?
b) What is the probability of xbar is between 16 and 17 days?
c) What is the probability that xbar is less than 15 days?
Find the probability that at least one subject experiences headaches. Is it unusual to have at least one of six subjects experience headaches?
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Based on p=.60, probability that a randomly selected homeowners will say no to newspaper subscription.
Please perform a hypothesis test using a .05 significance level on the following information. Next please perform a regression analysis as well as providing a scattered diagram.
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There were 20 students in the class. Develop an ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam.
How many degrees of freedom must researcher use in her t-test critical value supposing that variances are equal?
What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?
The average age of the students in the sample was 23 with a standard deviation of 3.5: a) Formulate the hypotheses for this problem.
Determine what analysis would you do on each problem (ie, one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
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