Given that z is a standard normal random variable, find z for each situation. The area to the right of z is .1314. (Round to two
1 answer:
Answer:
We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)" or the standard normal table
We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)" or the standard normal table.
We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)" or the standard normal table
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)" or the standard normal table
We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)" or the standard normal table.
We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)" or the standard normal table
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Answer:
<em>Her rate of change is 75 ft/h</em>
Step-by-step explanation:
<u>Rate of Change</u>
It measures how one quantity varies with respect to another. The second variable usually is the time.
The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).
At 6 hours, she is at 700 ft. This is the point (6,700)
The rate of change is the slope between these two points or the quotient of the variations of each variable:
Her rate of change is 75 ft/h
Answer:
A. The larger the sample size the better.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
We have to look at the standard error, which is:
This means that an increase in the sample size reduces the standard error, and thus, the larger the sample size the better, and the correct answer is given by option a.