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Standard Deviation, Hypotheses, and Standard Error
1. Define the term standard deviation. Why is it important to know the standard deviation for agiven sample? What do researchers learn about a normal distribution from knowledge of thestandard deviation? A sample of n=20 has a mean of M = 40. If the standard deviation is s=5,would a score of X= 55 be considered an extreme value? Why or why not?
2. Hypothesis testing allows researchers to use sample data, taken from a larger population, todraw inferences (i.e., conclusions) about the population from which the sample came. Hypothesistesting is one of the most commonly used inferential procedures. Define and thoroughly explainthe terms null hypothesis and alternative hypothesis. How are they used in hypothesis testing?
3. Define the term standard error. Why is the standard error important in research using sampledistributions? Consider the following scenario: A random sample obtained from a population hasa mean of μ=100 and a standard deviation of σ = 20. The error between the sample mean and thepopulation mean for a sample of n = 16 is 5 points and the error between a sample men andpopulation mean for a sample of n = 100 is 2 points. Explain the difference in the standard errorfor the two samples.
The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 212 feet, find the length of the room.
Mrs. Gardner went to the market. She purchased some lettuce heads and some tomatoes. There were 12 items purchased. She bought twice as many tomatoes as lettuce heads.
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
one operation of a steel mill is to cut pieces of steel into parts that are used in the frame for front seats in an
The hypotenuse of a right triangle is 26 cm. One of the legs is 14 cm longers than the other leg.
a 30 centimeter wrench is attached to a nut. the coordinate system you have picked is such that the wrench lies on the
an ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles?
A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. Find a function that models the revenue in terms of ticket price.
Small wheel have 18 inch diameter how many times does the small wheel turn when the cycle travels 1miles
Write an inequality, using x to represent your gross monthly salary and y to represent your monthly car payment, which could be used to calculate the range of payments that will work in your budget.
use Euler's Method with h=0.01 to approximate y(0.12)for the initial value problem dy/dx = e^-xy, y(0)=1
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