Giving a normal distribution with mean mu=40 and standard
deviation sigma = 10 where the probability that x0<x<x1 =
0.9. What is the Total Area to the left for x1.
Write mu for the mean of a Normal distribution. The value of the
standard deviation is unknown. We want to test H0: mu = 8 vs H1: mu
> 8. A random sample of 15 observations is taken from this
distribution, and the sample mean (x-bar) and sample standard
deviation (s) are calculated. Then t = (x-bar -
8)/[s/square_root(15)] is calculated, and is found to equal = 1.85.
At what levels of significance could we reject H0
The mean of a normal probability distribution is 380; the
standard deviation is 10.
About 68% of the observations lie between what two values?
About 95% of the observations lie between what two values?
Practically all of the observations lie between what two
values?
A) If a normal distribution has a mean µ = 40 and a standard
deviation σ = 2, what value of x would you expect to find 2
standard deviations below the mean
B) If a normal distribution has a mean µ = 70 and a variance σ2
= 16, what value of x would you expect to find 2.5 standard
deviations above the mean?
C)If a sample yields a mean xmean = 44 and we know that the sum...
The mean of a normal probability distribution is 460; the
standard deviation is 6.
a. About 68% of the observations lie between what
two values?
Lower Value
Upper Value
b. About 95% of the observations lie between
what two values?
Lower Value
Upper Value
c. Nearly all of the observations lie between
what two values?
Lower Value
Upper Value
In a normal distribution with mean = 27 and standard deviation =
4 Find the probability for
a.) 23 < x < 31
b.) 27<x<35
c.) 25 < x < 30 d.) x>26
e.) x < 24
The mean of a normal probability distribution is 410; the
standard deviation is 105. a. μ ± 1σ of the observations lie
between what two values? Lower Value Upper Value b. μ ± 2σ of the
observations lie between what two values? Lower Value Upper Value
c. μ ± 3σ of the observations lie between what two values? Lower
Value Upper Value
1. Following a normal probability distribution with a mean of
200 and a standard deviation of 10, 95 percent of the
population will be between:
200 and 220
180 and 220
180 and 200
less than 180
3. A family of four spends an average of $1000 per month with a
standard deviation of $50. This spending follows a
normal continuous distribution.
What is the probability that a family will spend more than $1050
in a month? (answer to 3 decimal places)
5....