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A health insurer wants to know if having a nurse available to answer some simple questions over a telephone hotline could cut costs by eliminating unnecessary doctor visits. Past records show the yearly average cost of doctor visits per family is typically around $900 with an SD of $200. They randomly select 100 families, give them access to the hotline, and record the yearly costs of their doctors visits. In this sample, they find the average yearly cost per family to be $850. 1.)How many Standard Errors is $850 below $900? 2.) If we want to test the null hypothesis that the hotline does not reduce costs, what would be the conclusion based on this data?
a) There is not enough evidence based on this data so we conclude the hotline does not reduce costs.b) There is enough evidence so we reject the null hypothesis and conclude the hotline does reduce costs.
Jim's average delivery time was 38 minutes whereas Alison's average delivery time was 40 minutes. The respective standard deviations were 5 minutes and 4 minutes.
The sample produced a mean of 535 mL with a standard deviation of 0.47 mL. Assume that the distribution of the amount of lotion is approximately normal.
Last week I used a stopwatch to measure the echo time of my snare drum in the hall outside my classroom, which is 80 meters long. The average echo time was 10 milliseconds.
An electrical firm manufactures electric light bulbs that have a length of life which is normally distributed with mean and standard deviation equal to 500 and 50 hours, respectively.
If person is selected at random determine the probability that he/she has enzyme level less than 4.0 units/ml?
How to calculate expected difference between the samples means, and how does larger variability affect the size of the standard error for the sample mean difference?
Telephone calls arrive at a switchboard in a Poisson process at the rate of 2 per minute. A random one-tenth of the calls are long distance.
Consider a random sample of size n from an exponential distribution, Xi ~ EXP(1,eta). a) Show that Q = X1:n - eta is a pivotal quantity and find its distribution.
A certain police officer stops cars for speeding. The number of red sports cars she stops in one hour is a Poisson process with rate 4, while the number of other cars she stops is a Poisson process with rate 1.
625 males, 398 say they have gone to the dentist in the past year. Construct 90% and 95% confidence intervals for the population proportion.
For the grand opening, an arena has selected 5 finalists, each of whom will win a season ticket located in one of 5 sections: The upper balcony, lower balcony, main floor, courtside, or a luxury box.
A random sample of stipends of teaching assistants in economics is listed below. Is there sufficient evidence at the alpha=.05 level to conclude that the average stipend different from $15,000? The data is listed below:
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