Question

Load the dataset faithful from R.

(a) Assign eruption durations to another variable.

(b) Find the sample proportion of eruptions that last more than 4 min.

(c) Construct a 90% CI for the proportion (p) of eruptions that will last more than 4 min.

Answer #1

R codes:

d=faithful

View(d)

e=d$eruptions

a=length(which(e>4)) # it gives number of eruptions >4

p=a/length(e)

p #it gives sample propotion

q=1-p

z=qnorm(0.95,0,1) # since we want two tailed confidence interval of
90%.

n=length(e)

CI_L=p-(z*sqrt(p*q/n)) # it gives lower limit of confidence
interval

CI_U=p+(z*sqrt(p*q/n)) # it gives upper limit of confidence
interval

Answers are as follows:

b. sample proportion of eruptions that last more than 4 min is p= 0.4852941

c. 90% CI for the proportion (p) of eruptions that will last more than 4 min is

(0.4354487 , 0.5351395 )

6.
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 149 feet.
Height (ft)
108
124
108
152
109
138
137
103
Interval after (min)
77
73
81
87
69
91
90
68
What is the regression equation?
...

Suppose researchers wanted to know about the prevalence of
Mountain Dew consumption A study conducted in 2018 collected data
on which soft drinks Americans aged 18 to 29 years consumed in the
last 4 weeks In that year , 43.60\% of respondents aged 18 to 29
years stated that they drank Mountain Dew within 4 weeks
3.8 Suppose the 90%confidence interval calculate for these data
was (0.406, 0.466). Which of the following would be possible
95%confidence intervals for these same...

Two movie theaters are across the street from one another, in
direct competition! Theater A takes a sample of 50 days, and finds
that in that sample an average of 547 customers come through the
theater each day, with a standard deviation of 42. They proudly
display their results. Theater B takes a sample of 30 days and
finds that in their sample, they have an average of 571 customers,
with a standard deviation of 59. They claim this means...

Find an article that discusses percentage of an issue. Use the
p-hat from the article and my ‘n’ of 125 to find the 90% confidence
interval for the population proportion. Attach the article.
Gwendolyn’s is a very good actress and usually gets a call back
after an audition 78% of the time. What is the probability
distribution table for her getting her first callback on her
1st thru 6th audition?
Auditions
1
2
3
4
5
6
P(x)
For my...

*Answer all questions using R-Script*
Question 1
Using the built in CO2 data frame, which contains data from an
experiment on the cold tolerance of Echinochloa crus-galli; find
the following.
a) Assign the uptake column in the
dataframe to an object called "x"
b) Calculate the range of x
c) Calculate the 28th percentile of
x
d) Calculate the sample median of
x
e) Calculate the sample mean of x and
assign it to an object called "xbar"
f) Calculate...

1. A sample size of n = 70 is drawn from a population with
proportion p = 0.32. Let p̂ be the sample proportion.
Find p̂m and p̂s . Round the standard deviation to four decimal
places.
Find )28.0p̂P ( > .
Find )40.0p̂P ( <
2. On a certain television channel, 20% of the
commercials are local advertisers. A sample of 150 commercials is
selected. Would it be unusual for more than 26% of the commercials
to be local advertisers?...

1. The breaking strengths (measured in dynes) of nylon fibers
are normally distributed with a
mean of 12,500 and a variance of 202,500.
a) What is the probability that a fiber strength is more than
13,175?
b) What is the probability that a fiber strength is less than
11,600?
c) What is the probability that a fiber strength is between 12,284
and 15,200?
d) What is the 90 th percentile of the fiber breaking strength?
2.
Suppose that X, Y...

A random sample of 15 adult male wolves from the Canadian
Northwest Territories gave an average weight x1
= 96.0 pounds with estimated sample standard deviation
s1 = 7.5 pounds. Another sample of 27 adult
male wolves from Alaska gave an average weight
x2 = 89.0 pounds with estimated sample standard
deviation s2 = 7.5 pounds. (a) Categorize the
problem below according to parameter being estimated, proportion
p, mean μ, difference of means
μ1 – μ2, or difference of
proportions...

1. If Z is a standard normal random variable, find the
value z0 for the following probabilities. (Round your
answers to two decimal places.)
(a) P(Z > z0) = 0.5
z0 =
(b) P(Z < z0) = 0.8686
z0 =
(c) P(−z0 < Z < z0) = 0.90
z0 =
(d) P(−z0 < Z < z0) = 0.99
z0 =
2. A company that manufactures and bottles apple juice uses a
machine that automatically fills 64-ounce bottles. There is some...

1. __________ can cause genes to move from one linkage group to
another
A. Inversions
B. Deletions
C. UV-light exposure
D. Translocations
E. Unequal crossing over
2. Transposons that use RNA as an
intermediate differ from DNA-only transposons in that the activity
of former requires?
A. Indirect repeat at one end and direct repeat at the other
B. A gene for transposase
C. A gene for reverse transcriptase
D. A gene for RNA polymerase
E. A selectable marker such as...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 13 minutes ago

asked 28 minutes ago

asked 36 minutes ago

asked 42 minutes ago

asked 45 minutes ago

asked 46 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago