Answer:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Step-by-step explanation:
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.
Positive z-score: Above the mean
Negative z-score: Below the mean
All variables are continuous.
X can be positive or negative, just like Z
So the correct answer is:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
I would help but I don’t know and I just just need ponts
Answer:
we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating
Step-by-step explanation:
We are given;
Population mean; μ = 31.2
Sample mean; x¯ = 31.4
Sample size; n = 230
standard deviation; σ = 2.5
Significance level = 0.05
Let's define the hypotheses;
Null hypothesis; H0: μ = 31.2
Alternative hypothesis; Ha: μ ≠ 31.2
Formula for the test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (31.4 - 31.2)/(2.5/√230)
z = 0.2/0.4564
z = 0.44
From online p-value from z-score calculator attached and using;
z = 0.44; two tailed hypothesis; significance value = 0.05
We have;
P-value = 0.659937
This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating
The ratio of the areas is the one-to-one measure squared. In order to find the ratio of their volumes, which is a cubed measure, we have to find the one-to-one and them cube it. The square root of 1/16 is 1/4. Now if we cube 1/4 to get the volume, it will be 1/64.
Answer:
b is 15.
Step-by-step explanation:
Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.
