Question
In: Statistics and Probability
A normal distribution has a mean of 21 and a standard deviation of 3.2. What is...
A normal distribution has a mean of 21 and a standard deviation of 3.2. What is the Z-score for a sample with a value of 23? (calculate to 1 decimal)
The mean weight of your sample of 100 doves is 6.59 grams, with a standard deviation of 1.1. You look at one sample and its weight is 6.08 grams. What is the Z-score for this sampled dove? Please carry your answer to three decimal places.
Solutions
Expert Solution
Solution :
Given that ,
(a)
mean = 
= 21
standard deviation = 
= 3.2
x = 23
z = (x -
) /
= (23 - 21) / 3.2 = 2 / 3.2 = 0.625
z - score = 0.625
(b)
mean =
= 6.59
standard deviation =
= 1.1
n = 100
= 6.08
= 6.59 and
=
/ 
n = 1.1 /
100 = 1.1 / 10 = 0.11
z = (
-
) /
= (6.08 - 6.59) / 0.11 = -0.51 / 0.11 = -4.636
z score = -4.636
orchestra answered 2 years agoRelated Solutions
. A normal distribution has mean = 127 and standard deviation = 21 . Give limits,...
. A normal distribution has mean = 127 and standard deviation =
21 . Give limits, symmetric ? ? about the mean, within which 95% of
the population will lie: a. Individual observations. b. Means of 4
observations. c. Means of 16 observations. d. Means of 100.
What is the standard deviation of the standard normal distribution? What is the mean of the...
What is the standard deviation of the standard normal
distribution?
What is the mean of the standard normal distribution?
All symmetric distributions are normal distributions. True or
false?
Assume body temperature scores are normally distributed in the
population with a mean of 36.81°C and a standard deviation of
0.41°C. A person's body temperature is 37.33°C. Calculate their
z-score. (Round answer to 2 decimal places)
Calculate the z-score for a person who has a body temperature of
35.72°C. (Round answer to...
If a normal distribution has a mean of 323.15 and standard deviation of 112.28, what is...
If a normal distribution has a mean of 323.15 and standard
deviation of 112.28, what is P(x≤216.98)?
If a normal distribution has a mean of 343.11 and standard
deviation of 110.24, what is P(x>216.98)?
If a normal distribution has a mean of 14.5 and standard deviation
of 4.6 what is P(x≤20)?
If a normal distribution has a mean of 14.5 and standard deviation
of 4.6, what is P(x≥13)?
For a standard normal distribution with mean of 0 and standard
deviation...
If a normal distribution has a mean of 323.15 and standard deviation of 112.28, what is...
If a normal distribution has a mean of 323.15 and standard
deviation of 112.28, what is P(x≤216.98)?
If a normal distribution has a mean of 343.11 and standard
deviation of 110.24, what is P(x>216.98)?
If a normal distribution has a mean of 14.5 and standard deviation
of 4.6 what is P(x≤20)?
If a normal distribution has a mean of 14.5 and standard deviation
of 4.6, what is P(x≥13)?
For a standard normal distribution with mean of 0 and standard
deviation...
A population has a normal distribution with a mean of 51.4 and a standard deviation of...
A population has a normal distribution with a mean of 51.4 and a
standard deviation of 8.4. Assuming n/N is less than or equal to
0.05, the probability, rounded to four decimal places, that the
sample mean of a sample size of 18 elements selected from this
population will be more than 51.15 is?
A population has a normal distribution with a mean of 51.5 and a standard deviation of...
A population has a normal distribution with a mean of 51.5 and a
standard deviation of 9.6. Assuming , the probability, rounded to
four decimal places, that the sample mean of a sample of size 23
elements selected from this populations will be more than 51.15
is:
If an IQ distribution is normal and has a mean of 100 and a standard deviation...
If an IQ distribution is normal and has a mean
of 100 and a standard deviation of 15, then 99% of all those taking
the test scored between IQ's of
A. 0 and 150
B. 55 and 145
C. 92.5 and 107.5
Suppose x has a distribution with a mean of 40 and a standard deviation of 21....
Suppose x has a distribution with a mean of 40 and a standard
deviation of 21. Random samples of size n = 36 are drawn.
(a) Describe the x distribution and compute the mean and
standard deviation of the distribution. x has distribution with
mean μx =
and
standard deviation σx = .
(b) Find the z value corresponding to x = 47. z = (c) Find P(x
< 47). (Round your answer to four decimal places.)
P(x < 47)...
Suppose x has a distribution with a mean of 60 and a standard deviation of 21....
Suppose x has a distribution with a mean of 60 and a standard
deviation of 21. Random samples of size n = 36 are drawn.
(a) Describe the x bar distribution.
Compute the mean and standard deviation of the distribution.
(For each answer, enter a number.)
(b) Find the z value corresponding to x bar = 53.
(c) Find P(x bar < 53). (Enter a number. Round your answer to
four decimal places.)
(d) Would it be unusual for a...
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of...
Suppose Z has a standard normal distribution with a
mean of 0 and standard deviation of 1. The probability that
Z is less than 1.15 is
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 4) Cost per equivalent unit of direct materials and conversion (4 marks) The cost per equivalent...
- We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10...
- Consider a saturated solution of the salt MX3, which M is a metal cation with a...
- Energyshot is a new energy drink that is about to be introduced into the global market....
- Problem 1: During the month, EKM Enterprise purchased $100,000 in raw material on account, used $150,000...
- An electron is accelerated inside a parallel plate capacitor. The electron leaves the negative plate with...
- There is a region with a constant magnetic field 6.31T . The magnetic field is directed...
ADVERTISEMENT