Question
In: Statistics and Probability
A random sample size of n=10, population μ=65, σ=19. Determine P(x<68.9) Determine P(x ≥66.9)
A random sample size of n=10, population μ=65, σ=19.
Determine P(x<68.9)
Determine P(x ≥66.9)
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 65
standard deviation = 
= 19
n = 10
= 65
=
/ 
a ) P( < 68.9 )
P (
-
/
) < ( 68.9 - 65 / 6.0083)
P ( z < 3.9 / 6.0083 )
P ( z <0.65)
= 0.7422
Probability = 0.7422
b ) P ( 
66.9 )
= 1 - P (
66.9
)
= 1 - P (
-
/)
(66.9 - 65 / 6.0083)
= 1 - P( z
1.9 / 6.0083 )
= 1 - P ( z
0.32 )
Using z table
= 1 - 0.6255
= 0.3745
Probability = 0.3745
orchestra answered 2 years agoRelated Solutions
A simple random sample of size n=37 is obtained from a population with μ=65 and σ=15....
A simple random sample of size n=37 is obtained from a
population with μ=65 and σ=15.
(a) What must be true regarding the distribution of the
population in order to use the normal model to compute
probabilities involving the sample mean? Assuming that this
condition is true, describe the sampling distribution of
overbarx.
(b) Assuming the normal model can be used, determine
P(overbar x < 69.4).
(c) Assuming the normal model can be used, determine
P(overbar x ≥ 66.7).
A simple random sample of size n=64 is obtained from a population with μ=88 and σ=24....
A simple random sample of size n=64 is obtained from a
population with μ=88 and σ=24.
(a) Describe the sampling distribution of x. is it 1,2,3,4, or
5?
1. The distribution is skewed right.
2. The distribution is approximately normal.
3. The distribution is uniform.
4. The distribution is skewed left.
5. The shape of the distribution is
unknown.
Find the mean and standard deviation of the sampling
distribution of x.
Ux=
Ox=
(b) What is P (x>91.75) ? Round...
A simple random sample of size n=64 is obtained from a population with μ=77 σ=24. (a)...
A simple random sample of size n=64 is obtained from a
population with μ=77 σ=24.
(a) Describe the sampling distribution of x
(b) What is P (x > 80.75)?
(c) What is P (x ≤ 70.25)?
(d) What is P (74.6<x<83.3)?
A simple random sample of size n=49 is obtained from a population with μ=78 and σ=14....
A simple random sample of size n=49 is obtained from a
population with μ=78 and σ=14.
(b) What isP (x>81)?
(c) What is (P x≤73)?
(d) What is P( 76.8 less than x overbar less than 81.2)
A normal distributed population has parameters μ=112.2 and σ=23.9. If a random sample of size n=98...
A normal distributed population has parameters μ=112.2 and
σ=23.9. If a random sample of size n=98 is selected,
What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample
means? Round to two decimal places. to find
answer
σ¯x=
Suppose a simple random sample of size n=36 is obtained from a population with μ=81and σ=24....
Suppose a simple random sample of size n=36 is obtained from a
population with μ=81and σ=24.
(a) Describe the sampling distribution of barx (mean and
standad deviation).
(b) What is P (barx>85)?
(c) What is P (barx≤71)?
(d) What P (75.8<barx<90.6)?
A simple random sample has a sample size of n = 65. Given the population is...
A simple random sample has a sample size of n = 65. Given the
population is normally distributed, find the critical value ta/2
corresponding to a 99% confidence level.
a) 2.678
b) 2.575
c) 2.000
d) 2.660
A random sample of size n = 55 is taken from a population with mean μ...
A random sample of size n = 55 is taken from a
population with mean μ = −10.5 and standard deviation
σ = 2. [You may find it useful to reference
the z table.]
a. Calculate the expected value and the
standard error for the sampling distribution of the sample mean.
(Negative values should be indicated by a minus sign. Round
"expected value" to 1 decimal place and "standard error" to 4
decimal places.)
b. What is the probability that...
A simple random sample of size n = 15 is obtained from a population with μ...
A simple random sample of size n = 15 is obtained from a
population with μ = 97 and σ = 23. Enter your answer as an area
under the curve with 4 decimal places. P(x⎯⎯⎯ ≤ 94)
A random sample of size n = 50 is taken from a population with mean μ...
A random sample of size n = 50 is taken from a
population with mean μ = −9.5 and standard deviation
σ = 2. [You may find it useful to reference
the z table.]
a. Calculate the expected value and the
standard error for the sampling distribution of the sample mean.
(Negative values should be indicated by a minus sign.
Round "expected value" to 1 decimal place and
"standard deviation" to 4 decimal places.)
Expected Value=
Standard Error=
b. What...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Will iron(III) hydroxide precipitate from a pH = 1.00 solution with [Fe3+] = 1.0 x 10-5?...
- What do you believe happens during the final scene of the story between the brothers at....
- A 5.171 g sample of a solid, weak, monoprotic acid is used to make a 100.0...
- 1. Creep is one of deformation that occurred in concrete structure. Give one example that can...
- Why does a particular codon represent only one specific amino acid?
- Write a function template sort that takes two references to generic objects and switches them if...
- What 2 things happen to the melting point of a solid when an impurity is present?
ADVERTISEMENT