Question

Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Round your answer to two decimal places.

Q2-.Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a standard deviation of 100, what is Tyrell's math score? Round your answer to the nearest whole number.

Q3-.Find the z-score that cuts off an area of 0.9842 to the left of the z-score. The values in the table below represent areas to the left of the specified z-score. Round your answer to two decimal places.

z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |

2.0 | 0.9772 | 0.9778 | 0.9783 |
0.9788 |
0.9793 | 0.9798 | 0.9803 | 0.9808 | 0.9812 | 0.9817 |

2.1 | 0.9821 | 0.9826 | 0.9830 | 0.9834 | 0.9838 | 0.9842 | 0.9846 | 0.9850 | 0.9854 | 0.9857 |

2.2 | 0.9861 | 0.9864 | 0.9868 | 0.9871 | 0.9875 | 0.9878 | 0.9881 | 0.9884 | 0.9887 | 0.9890 |

2.3 | 0.9893 | 0.9896 | 0.9898 | 0.9901 | 0.9904 | 0.9906 | 0.9909 | 0.9911 | 0.9913 | 0.9916 |

Q4-. Find the area to the right of the z-score 0.41 under the
standard normal curve.

Q5-.Find the area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve.

Q6-. Determine the area under the standard normal curve that lies to the right of the z-score 0.05 and to the left of the z-score 0.25.

Q7-.A normal distribution is observed from the times to complete an obstacle course. The mean is 69 seconds and the standard deviation is 6 seconds. Using the Empirical Rule, what is the probability that a randomly selected finishing time is greater than 87 seconds? Provide the final answer as a percent rounded to two decimal places.

Q8-. A normal distribution is observed from the body weights of the forty students in a class. If the mean is 125 pounds and the standard deviation is 9 pounds, what is the probability that a randomly selected student has a body weight between 116and 134 pounds? Use the empirical rule. Provide the final answer as a percent.

Q9-.Mr. Benson's statistics test scores are normally distributed with a mean score of 85 (μ) and a standard deviation of 4 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values?

Answer #1

Q1-. A normal distribution has a mean of 15 and a standard
deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
Q2-.Tyrell's SAT math score was in the 64th percentile. If all
SAT math scores are normally distributed with a mean of 500 and a
standard deviation of 100, what is Tyrell's math score? Round your
answer to the nearest whole number.
Q3-.Find the z-score that cuts off an area...

A normal distribution has a mean of 60 and a standard deviation
of 16. For each of the following scores, indicate whether the body
is to the right or the left of the score and find the proportion of
the distribution located in the body X = 64 X = 80 X = 52 X =
28

1. Let the mean be 100 and the standard deviation be 15 for the
normal distribution for adult IQs in North Carolina.
a. Use the empirical rule to find what proportion of the data is
located between 85 and 115.
b. How about 100 and 130?
c. Find the z-score for the following data points and explain
what these mean: i. x = 80 ii. x = 109

Find the area of the shaded region. The graph depicts the
standard normal distribution of bone density scores with mean 0 and
standard deviation 1. font size decreased by 2 z equals negative
0.93 font size decreased by 2 z equals 1.28 A symmetric bell-shaped
curve is plotted over a horizontal scale. Two vertical lines run
from the scale to the curve at labeled coordinates “z equals
negative 0.93,” which is to the left of the curve’s center and
peak,...

Using the Standard Normal Table found in your textbook, find the
z-scores such that: (a) The area under the standard normal curve to
its left is 0.5 z = (b) The area under the standard normal curve to
its left is 0.9826 z = (c) The area under the standard normal curve
to its right is 0.1423 z = (d) The area under the standard normal
curve to its right is 0.9394

Which of the following is a characteristic of the
normal distribution?
A. The standard deviation equals to 0.
B. The mean equals to 1
C. The curve Is symmetrical
D. The bell curve is skewed
The normal distribution curve has the property of
being asymptotic; this means that .
A. The area under the curve is not skewed to the left
B. The curve is symmetrical
C. The area under the curve is not skewed to the right
D. The...

Find the area under the standard normal distribution curve for
each of the following. (
a.) Between z = 0 and z = -2.34
b.) To the right of z = -2.11
c.) To the left of z = 1.31
d.) To the left of z = - 1.45
e.) To the right of z = - .85

A normal distribution has a mean equal to 48. What is the
standard deviation of this normal distribution if 2.5% of the
proportion under the curve lies to the right of x = 61.72? (Round
your answer to two decimal places.)

A normal distribution of scores has a standard deviation of 10.
Find the z-scores corresponding to each of the following
values:
A score that is 20 points above the mean.
A score that is 10 points below the mean.
A score that is 15 points above the mean
A score that is 30 points below the mean.

A distribution of values is normal with a mean of 65.2 and a
standard deviation of 7.4.
Find P32, which is the score separating the
bottom 32% from the top 68%.
P32 =
Enter your answer as a number accurate to 1 decimal place. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.

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