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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?
There are four conditions/requirements that must be met in order to perform simple linear regression. For each of the conditions below, choose the technique that should be used to determine whether or not that the condition is met.
A study is conducted to determine if the traffic light patterns at a busy intersection need to be adjusted to help the flow of traffic. Data on the volume of traffic and the traffic patterns during different times of day are recorded.
Assuming the sigma of 200 was actually the standard deviation for the sample, recalculate the interval estimate. Discuss how this changed your result from that in part b.
What maximum variance of the raw score population could you have and still be able to reject the null hypothesis of μ = 20 (α = .05), if the sample size is 100 and the sample mean is 22?
What are the minimum and maximum heights it should use as a basis for its design?
Compute the Pearson correlation. Multiply each X value by 2 and compute the Pearson correlation for the modified scores.
Find out the operating characteristics for this system.
What is the probability that the person thinks that "Made in America" ads boost sales and uses social media online?
Determine a 95% confidence interval for mean amount spent by all Internet shoppers.
If 1000 men and 1000 women are to be interviewed, how accurately could you estimate the difference in the proportions who think that the performance of their atheltics teams has a positive impact on the perceived prestige of the institutions? Find..
The long distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. find the probability that a call
a) Determine the proportion of instances that the duration was less than 240 seconds. Also express the proportion as a percent. (hint: proportion is number of successes divided by total number.)
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