Please help please im really confused

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches

Brilliant_brown [7]

Answer:

a) 1.93

b) 97.32% of men are SHORTER than 6 feet 3 inches

c) 2.71

d) 0.34% of women are TALLER than 5 feet 11 inches

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

$Z = \frac{X - \mu}{\sigma}$

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.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

For man, $\mu = 69.8, \sigma = 2.69$

A feet has 12 inches, so this is Z when X = 6*12 + 3 = 75. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 69.8}{2.69}$

$Z = 1.93$

b. What percentage of men are SHORTER than 6 feet 3 inches?

Z = 1.93 has a pvalue of 0.9732

97.32% of men are SHORTER than 6 feet 3 inches

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

For woman, $\mu = 64.1, \sigma = 2.55$

Here we have X = 5*12 + 11 = 71.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{71 - 64.1}{2.55}$

$Z = 2.71$

d. What percentage of women are TALLER than 5 feet 11 inches?

Z = 2.71 has a pvalue of 0.9966

1 - 0.9966 = 0.0034

0.34% of women are TALLER than 5 feet 11 inches

5 0

4 years ago

Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. Shania found the middle number of her scores. Which

Zolol [24]

Answer:

Measure of center, also known as the Median.

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Is you roll two fair six-sided dice, what is the probability that the sum is 9 or higher

ratelena [41]

Answer:

5/18

Step-by-step explanation:

on khan academy thank me plzzzzzzz

4 0

3 years ago

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Six of the nine students are from middle gerogia state college. What is the probability that all three interviewed students are

ozzi

Answer:

0.2381 = 23.81%

Step-by-step explanation:

To calculate this probability, we can calculate the probability of each student of the 3 students interviewed being from middle georgia state college.

If inicially there are six students from middle georgia state college among the nine students, the probability of the first student chosen being from middle georgia state college is 6/9.

Then, as one student was already picked, we have now 5 students from middle georgia state college in a total of 8 students, so the probability of the second student will be 5/8.

In the same way, the third student will be picked in a group of 7 students, where 4 are from middle georgia state college, so the probability is 4/7.

Multiplying all the probabilities, we have the probability of all three students interviewed being from middle georgia state college:

P = (6/9) * (5/8) * (4/7) = 120/504 = 0.2381 = 23.81%

6 0

4 years ago

The radius of the base to the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which

Yuri [45]

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

5 0

3 years ago