Chose the equation that has a slope of (-3/4) and a y intercept of -6
1 answer:
You might be interested in
Answer:
About 1.16% of all samples have mean heights of at least 63.42 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What percentage of all samples of 24 of today's women in their 20s have mean heights of at least 63.42 inches?
This is 1 subtracted by the pvalue of Z when X = 63.42. So
By the Central Limit Theorem
has a pvalue of 0.9884
1 - 0.9884 = 0.0116
About 1.16% of all samples have mean heights of at least 63.42 inches.
8 Feets
Step-by-step explanation:
The midsegment is 1/2 of the top and bottom
segments
=>