The following data represents the heights of the old faithful
geyser eruptions, the durations of the eruption and the interval
between eruptions. The data is attached and an excel file is also
included on canvas. The data is arranged in duration, interval and
height
a) Use the paired data for durations
and intervals after eruptions of the geyser. Is there significant
linear correlation at the 0.05 significance level suggesting
interval after an eruption is related to duration (use the r...
Consider eruptions of Old Faithful geyser in Yellowstone
National Park. The distribution of eruptions is said to be roughly
normal and based on a study done in the park in 2011 has a mean
time between eruptions of 93 minutes with a standard deviation of
9.5 minutes.
A)You have watched the Geyser erupt, but your friend missed it.
What is the probability that he will have to wait less than an hour
to see it?
B)What is the probability your...
Consider eruptions of Old Faithful geyser in Yellowstone
National Park. The distribution of eruptions is said to be roughly
normal and based on a study done in the park in 2011 has a mean
time between eruptions of 93 minutes with a standard deviation of
9.5 minutes.
A)Suppose we are still studying 60 eruptions and we want to know
what the longest 5% of mean times between eruptions would be. What
average time would put us in the longest 5%?...
2. An environmentalist is interested in estimating the mean time
between eruptions of Old
Faithful Geyser in Yellowstone National Park. Over the course of a
year, she takes a random
sample of the time intervals (in minutes) between eruptions. Her
results are recorded in the
following table. Both the population mean and standard deviation
are unknown.
Time Between Eruptions (in minutes)
63 63 71 77 81 65
67 84 72 75 70 70
93 83 85 79 90 74
81...
Suppose a geyser has a mean time between eruptions of 76 minutes
. If the interval of time between the eruptions is normally
distributed with standard deviation 27 minutes , answer the
following questions.
(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 that a random sample of 100 time
intervals between eruptions has a mean longer than 120
minutes?
(d) What...
Suppose a geyser has a mean time between eruptions of 79
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 88 ?minutes?
?(b) What is the probability that a random sample of 12 time
intervals between eruptions has a mean longer than 88 ?minutes?
c) What is the probability that a random...
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 17 minutes, answer the
following questions. (a) What is the probability that a randomly
selected time interval between eruptions is longer than 92
minutes? The probability that a randomly selected time interval is
longer than 92 minutes is approximately nothing. (Round to four
decimal places as needed.)
Suppose a geyser has a mean time between eruptions of 99
minutes. If the interval of time between the eruptions is normally
distributed with standard deviation 24 minutes, answer the
following questions.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than 110 minutes?
(b) What is the probability that a random sample of 10 time
intervals between eruptions has a mean longer than 110 minutes?
(c) What is the probability that a random...
Suppose a geyser has a mean time between eruptions of
75 minutes
.
If the interval of time between the eruptions is normally
distributed with standard deviation
19 minutes
,
answer the following questions.
(a) What is the probability that a randomly selected time
interval between eruptions is longer than
84
minutes?
The probability that a randomly selected time interval is longer
than
84
minutes is approximately
nothing
.
(Round to four decimal places as needed.)
(b) What is the...
Suppose a geyser has a mean time between eruptions of 80
minutes. If the interval of time between the eruptions is normally
distributed with standard deviation 26 minutes, answer the
following questions. (a) What is the probability that a randomly
selected time interval between eruptions is longer than 92
minutes? The probability that a randomly selected time interval is
longer than 92 minutes is approximately 0.3228. (Round to four
decimal places as needed.) (b) What is the probability
that a...