Question

A sample of size 8 will be drawn from a normal population with mean 61 and standard deviation 14.

(a) Is it appropriate to use the normal distribution to find probabilities for x?

(b) If appropriate find the probability that x will be between 51 and 71. Round the answer to four decimal places.

(c) If appropriate find the 81st percentile of x.

Round the answer to two decimal places.

Answer #1

A sample of size 37 will be drawn from a population with mean 45
and standard deviation 9. Use the TI-84 Plus calculator.
(a) Is it appropriate to use the normal distribution to find
probabilities for x?
(b) Find the probability that x will be between 46 and 47. Round
the answer to at least four decimal places.
(c) Find the 39th percentile of x. Round the answer to at least
two decimal places.
a)
Is it appropriate to use...

A sample of size 15will be drawn from a population with mean 135
and standard deviation 36
.
(a) Is it appropriate to use the normal distribution to find
probabilities for x?
(b) If appropriate find the probability that X will be
less than 118
.
(c) If appropriate find the
90th percentile of x
A sample of size 15will be drawn from a population with mean 135
and standard deviation 36
.
(a) Is it appropriate to use the normal...

A sample of size 35 will be drawn from a population with mean 43
and standard deviation 10.
a) is it appropriate to use normal distribution to find
probability?
b) find the probability that x will be between 44 and 45. Round
to at least 4 decimal places.
c) find the 37th percentile of x. round to at least
two decimal places.

A sample size 39 will be drawn from a population with mean 47
and standard deviation 11. Use the TI-84 Plus calculator.
A) Is it appropriate to use the normal distribution to find
probabilities for X?
B) Find the probability that X will be between 48 and 49. ROund
to at least four decimals.
C) Find the 41st percentile of X rounded to at least two
decimals.

A sample of size
126
will be drawn from a population with mean
26
and standard deviation
3
. Use the TI-84 calculator.
Part 1 of 2
Find the probability that
x
will be between
25
and
27
. Round the answer to four decimal places.
The probability that
x
will be between
25
and
27
is .
Part 2 of 2
Find the
55th
percentile of
x
. Round the answer to two decimal places.
The
55th
percentile is...

A sample of size 60 will be drawn from a population with mean 31
and standard deviation 6. Use the TI-84 calculator.
Part 1 of 2
Find the probability that x will be between 30 and 33. Round the
answer to four decimal places.
The probability that x will be between 30 and 33 is ?
Part 2 of 2
Find the 75th percentile of x. Round the answer to two decimal
places.
The 75th percentile is ?

Please Show Work
1. A sample size 5 will be drawn from a normal population with
mean 60 and standard deviation 12.
a. Is it appropriate to use the normal distribution to find
probability for ?̅? Explain why?
b. If appropriate find the probability that ?̅will be between 50
and 70.
c. If appropriate find the 80th percentile of ?̅?

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 23, 26,
22, 20, 16, 21, 25, 24. [You may find it useful to
reference the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 90% confidence interval for
the population...

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 16, 26,
20, 14, 23, 10, 12, 29. [You may find it useful to
reference the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 95% confidence interval for
the population...

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 28, 23,
18, 15, 16, 5, 21, 13. [You may find it useful to reference
the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 90% confidence interval for
the population...

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