The heights of adult men in America are normally distributed, with a mean of 69.2 inches and
Question:
The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.58 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z =
b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z =
c) Who is relatively taller?
- The 6 foot 3 inch American man
- The 5 foot 11 inch American woman
*** 1 foot = 12 inches ***
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1519 and a standard deviation of 307. The local college includes a minimum score of 905 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X< 905) =%
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 3.1 inches.
A) What is the probability that a randomly chosen child has a height oflessthan 60.65 inches?
Answer=(Round your answer to 3 decimal places.)
B) What is the probability that a randomly chosen child has a height ofmorethan 62.4 inches?
Answer=(Round your answer to 3 decimal places.)
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.4 years, and standard deviation of 1.6 years.
If you randomly purchase one item, what is the probability it will last longer than 9 years?
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34 liters, and standard deviation of 8.1 liters.
A) What is the probability that daily production isbetween41.4 and 56.4 liters? Do not round until you get your your final answer.
Answer=(Round your answer to 4 decimal places.)
Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.
Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 5.7-in and a standard deviation of 0.8-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 0.5% or largest 0.5%.
What is the minimum head diameter that will fit the clientele?
min =
What is the maximum head diameter that will fit the clientele?
max =
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1077 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 4.1. It is assumed that the two tests measure the same aptitude, but use different scales.
If a student gets an SAT score that is the 30-percentile, find the actual SAT score.
SAT score =
Round answer to a whole number.
What would be the equivalent ACT score for this student?
ACT score =
Round answer to 1 decimal place.
If a student gets an SAT score of 1526, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.