The owner of the car dealership decides to treat the value 22 as an outlier.which measure of center or spread is affected the mo
1 answer:
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Answer:
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
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 random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the approximate probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true?
This is 1 subtracted by the pvalue of Z when X = 3.1. So
By the Central Limit Theorem
has a pvalue of 1.
1 - 1 = 0
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
Answer:
0.268
Step-by-step explanation:
In the attached file
Answer:
It takes <em>10 minutes</em> to the park.
Step-by-step explanation:
Given that:
Time taken = 6 minutes
Distance left to be traveled = 40%
To find:
The equation to represent the distance , that still needs to be traveled after
minutes.
Solution:
As per given statement, distance traveled in 6 minutes = 60%
We can say that:
Distance traveled each minute = = 10%
After 1 minute, distance traveled = 10%
Distance left = 100 - 10 = 90%
After 2 minutes, distance traveled = 20%
Distance left = 100 - 20 = 80%
After minutes, distance traveled = 10
%
Distance left, = (100 - 10
)%
Therefore, the equation is:
Time taken by the bike to reach to the park can be found by putting = 0 (i.e. distance left to be traveled = 0)