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...

Let X have a normal distribution with a mean of 23 and a
standard deviation of 5. Find P(X < 9 or X > 21) in the
following steps
(a) What region of the normal distribution are you looking to
find the area of? (to the left of a zscore, to the right of a
z-score, between two z-scores, or to the left of one z-score and to
the right of another z-score)
(b) Calculate the z-score(s) needed to find...

a) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4; σ = 6
P(1 ≤ x ≤ 13) =
b) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 103; σ = 20
P(x ≥ 120) =
c) Find z such that 5%...

Given a standardized normal
distribution (with a mean of 0 and a standard deviation of 1) what
is the probability that
Z is between -1.23 and 1.64
Z Is less than -1.27 or greater than 1.74
For normal data with values symmetrically distributed around
the mean find the z values that contain 95% of the data
Find the value of z such that area to the right is 2.5% of the
total area under the normal curve

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

1. Find the area under the standard normal curve to the left of
z = 1.66.
2. Find the area under the standard normal curve between z =
-1.75 and z = 0.96.
3. Find the z-score for which the area to its right is 0.67.
4. A normal population has mean 176=m and a standard deviation
.38=s What proportion of the population is more than 185?

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

2. a) Find the area under the standard normal curve to the right
of z = 1.5.
b) Find the area under the standard normal curve to the left of
z = 1.
c) Find the area under the standard normal curve to the left of
z = -1.25.
d) Find the area under the standard normal curve between z = -1
and z = 2.
e) Find the area under the standard normal curve between z =
-1.5 and...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 25 minutes ago

asked 27 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago