MATHEMATICS COLLEGE

According to a human modeling project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 centimeters and a standard deviation of 1.4 centimeters. In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?

Answers

Answer 1

Answer:

Answer:

26.11% of women in the United States will wear a size 6 or smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

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.

In this problem, we have that:

$\mu = 23.3, \sigma = 1.4$

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?

This is the pvalue of Z when X = 22.4. So

$Z = (X - \mu)/(\sigma)$

$Z = (22.4 - 23.3)/(1.4)$

$Z = -0.64$

$Z = -0.64$ has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or smaller

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An ordinary Regression model that treats the response Y is (a) True False, (w) True

What is Regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables.

A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

A) Models for numerical response variable, like ANOVA and linear regression are special cases of GLMs

for these model the following holds

1. Random component has a normal distribution

2. Systematic component α+β₁x₁+β₂x₂+...........βₓxₓ

3. link function = identity (g(µ)=µ)

GLMs can generalise these models with response Y as normally distributed, hence the statement is True

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Which scatter plot could have a trend line whose equation is y = x + 15?

Answers

Answer:

I'm going to say it's the third one (bottom left) because it's the only one that has points scattered in the same vicinity as the graph when I plugged in that equation. The line showed was linear and had many points including (0,15), (1, 16), and (2, 17).

Using the 1 to 9 at the most time each, fill in the boxes to make a true statement

Answers

Answer:

Step-by-step explanation:

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Since it looks like the empty box is an exponent, and there are 2 8s being multiplied, the answer is 2

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A flagpole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 60 inches long. How tall is the flagpole to the nearest foot?

Answers

Answer:

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Step-by-step explanation:

5 feet and 60 inches

Step-by-step explanation:

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Answers

D is the answer “The lengths of all three sides are the same

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