What is the simplified form of 5 square root x • 5 square root x • 5 square root x • 5 square root x?
1 answer:
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Answer:
The diagram is attached below.
Step-by-step explanation:
A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.
So, the readings on the thermometers (denoted by <em>Z</em>) follows N (0, 1).
It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.
This implies that:
The value of <em>z</em> associated to both these probabilities are:
<em>z</em> = 1.93.
That is,
*Use a <em>z</em>-table.
The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.
Answer:
AB=5.83
Step-by-step explanation:
Distance Formula=
Plugging our values in, we get:
And if we solve it like this:
We end up with:
Which is about 5.83
Answer:
C. n=423
Step-by-step explanation:
1) Notation and important concepts
Margin of error for a proportion is defined as "percentage points your results will differ from the real population value"
Confidence=90%=0.9
represent the significance level defined as "a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant".
represent the sample proportion of consumers in the Oconee County area who would react favorably to a marketing campaig. For this case since we don't have enough info we use the value of 0.5 since is equiprobable the event analyzed.
represent a quantile of the normal standard distribution that accumulates
on each tail of the distribution.
2) Formulas and solution for the problem
For this case the margin of error for a proportion is given by this formula
(1)
For this case the confidence level is 90% or 0.9 so then the significance would be
and
With , we can find the value for
using the normal standard distribution table or excel.
The calculated value is
Now from equation (1) we need to solve for n in order to answer the question.
Squaring both sides:
And solving for n we got:
Now we can replpace the values
And rounded up to the nearest integer we got:
n=423