Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then the we know that the distribution for the sample mean 
is given by:
And the standard error is given by:
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
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
Answer:
19,500 - (1,000 x 12) = X
Brianna earns $ 7,500 more than Lisa per year.
Step-by-step explanation:
Given that Brianna earns $ 19,500 per year and Lisa earns $ 1,000 per month, to write a numerical expression that represents how much more Brianna earns per year than Lisa the following calculations and equations must be performed:
19,500 - (1,000 x 12) = X
19,500 - 12,000 = X
7,500 = X
Thus, Brianna earns $ 7,500 more than Lisa throughout the year.
Answer:
Option A. The average number of crisps per can of Pringles is less than 100.
Step-by-step explanation:
We are given that the member of consumer group is wants to determine whether the average number of crisps per can of pringles is less than the average number of crisp mentioned in an advertisement whereas average number of crisp mentioned in an advertisement are 100 crisps per can. We know that the null hypothesis always contains equality and alternative hypothesis is contrary to the null hypothesis. Thus, the alternative hypothesis would be that the average number of crisps are less than 100 per can. So, the formed hypothesis are
Null hypothesis: The average number of crisps per can of Pringles is 100.
Alternative hypothesis: The average number of crisps per can of Pringles is less than 100.
Answer: 50$
Step-by-step explanation:7.50 is 15% of what
7.50=.15x
50=x
answer is $50
Step-by-step explanation:
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