Question

Suppose a geyser has a mean time between eruptions of 86 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 19 minutes. Complete parts (a) through (e) below.

(a) What is the probability that a randomly selected time interval between eruptions is longer than 94 minutes?

(b) What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 94 minutes?

(c) What is the probability that a random sample of 31 time intervals between eruptions has a mean longer than 94

minutes?

(d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.

(e) What might you conclude if a random sample of 31 time intervals between eruptions has a mean longer than 94 minutes?

Answer #1

Suppose a geyser has a mean time between eruptions of 86 minutes
Let the interval of time between the eruptions be normally
distributed with standard deviation 26 minutes
.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than 99 minutes?
(b) What is the probability that a random sample of 9 time
intervals between eruptions has a mean longer than 99 minutes?

Suppose a geyser has a mean time between eruptions of 75
minutes. Let the interval of time between the eruptions be normally
distributed with standard deviation
26 minutes. Complete parts (a) through (e) below
(a) What is the probability that a randomly selected time interval
between eruptions is longer than
87 minutes?
(b) What is the probability that a random sample of 13 time
intervals between eruptions has a mean longer than
87 minutes?
(c) What is the probability...

Suppose a geyser has a mean time between eruptions of 79
minutes. Let the interval of time between the eruptions be normally
distributed with standard deviation 22 minutes. Complete parts (a)
through (e) below.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than 90 minutes? The
probability that a randomly selected time interval is longer than
90 minutes is approximately nothing. (Round to four decimal places
as needed.)
(b) What is the probability...

Suppose a geyser has a mean time between eruptions of 84
minutes. If the interval of time between the eruptions is normally
distributed with standard deviation 27 minutes A. Whats the
probability that a random sample of 13 time intervals between
eruptions has a mean longer than 95 minutes. B. Whats the
probability that a random sample of 28 time intervals between
eruptions has a mean time longer than 95 minutes. C. What effect
does increasing the sample size have...

Suppose a geyser has a mean time between eruptions of 85
minutes. Let the interval of time between the eruptions be normally
distributed with standard deviation 23 minutes.
What is the probability that a random sample of 9 time intervals
between eruptions has a mean longer than 96 minutes?
The probability that the mean of a random sample of 9 time
intervals is more than 96 minutes is approximately _______.
(Round to four decimal places as needed.)

Suppose a geyser has a mean time between eruptions of 85
minutes. Let the interval of time between the eruptions be normally
distributed with standard deviation 23 minutes.
What is the probability that a random sample of 18 time
intervals between eruptions has a mean longer than 96 minutes?
The probability that the mean of a random sample of 18 time
intervals is more than 96 minutes is approximately_______. (Round
to four decimal places as needed.)

Suppose a geyser has a mean time between eruptions of 61
minutes. Let the interval of time between the eruptions be normally
distributed with standard deviation 20 minutes.Complete parts (a)
through (e) below.
(e) What might you conclude if a random sample of 35 time
intervals between eruptions has a mean longer than 69 minutes?
Select all that apply.
a)The population mean may be less than 61
b)The population mean may be greater than 61
c)The population mean must be...

Suppose a geyser has a mean time between eruptions of 70
minutes
If the interval of time between the eruptions is normally
distributed with standard deviation 20 minutes
answer the following questions.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than
80 minutes?
The probability that a randomly selected time interval is longer
than 80 minutes is approximately?

The following are the interval times? (minutes) between
eruptions of a geyser. Detemine the five number summary and
construct a box plot from the data below.
83?84??85???87??89??90??91??92??94??97???97??98???99???104??106?109
The number 5 summary is?

In a sample of 500 eruptions of the Old Faithful geyser at
Yellowstone National Park, the mean duration of the eruptions was
3.32 minutes and the standard deviation was 2.09 minutes. A random
sample of size 30 is drawn from this population.
a. Describe the sampling distribution of the eruptions of the
Old Faithful geyser.
b. What is the probability that the mean duration of eruptions
is between 2.5 minutes and 4 minutes?

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