Question

**R Studio must be used to answer these
questions**

1. You know that 85% of the distribution of a standard normal random variable lies to the left of a given value. How do you determine the given value?

Group of answer choices

a. qnorm(.85)

b. pnorm(.85)

c. 1-pnorm(.85)

d. 1-dnorm(.85)

2.

You want to generate 1000 random values from a normal distribution with mean 100 and standard deviation 15. What command will produce these values?

Group of answer choices

a. pnorm(1000,100,15)

b. qnorm(1000,100,15)

c. rnorm(1000,100,15)

d. dnorm(1000,100,15)

Answer #1

for further any clarification please comment and thank you.

1. In a standard normal distribution, the
Group of answer choices
mean is 1 and the standard deviation is 0.
mean and the standard deviation can have any value.
mean is 0 and the standard deviation is 1.
mean and the standard deviation are both 1.
2.
For the density curve below, which of the following is true?
Group of answer choices
It is skewed left.
The mean is about 0.7.
The total area under the curve is 1.
It...

Use the data below to run a regression in R Studio and answer
the following question.
You are given the following information about x and y.
x
y
Independent Dependent
Variable
Variable
15
5
12
7
10
9
7
11
The least squares estimate of b1 equals _____.
Group of answer choices
a. 16.412
b. –0.13
c. 21.4
d. –0.7647

How do I do this in R Studio
1. You are testing a hypothesis Ho: μ = 10 against Ha: μ < 10
based on a SRS of 20 observations from a Normal population. The
data give sample mean of 8 and a sample standard deviation of 4.
Find the value of t. (use correct formula, plug numerical values
into formula, crunch numbers using R, report value of t)
2. What is the area to the left of the t...

1. In R, inverse probability distribution functions start with q
(no reason why really; it’s just a convention). To calculate the
critical value for a two-tailed t-test with n
− k = 100 and α = 0.05, use the inverse
t distribution command. For the inverse t function, type
qt(1-0.05/2, 100). To find the one-tailed critical value for a
t distribution for α = 0.01 and 100 degrees of
freedom, type qt(1-0.01, 100).
2. To find the critical value from...

Use the programming language R to code the following
project..
* Make sure you turn in your code and answers from
each question. (not the raw data).
1. Generate 1000 random samples of size 40 from the normal
distribution with mean µ = 3 and
standard deviation σ = 2. Compute 95% the confidence interval of
1000 samples and find the rate
of confidence interval contains the true mean. What did you learn
from this simulation study?
2. For each...

Question (2) [5 marks] (Use R) Suppose you have a company
producing cupcakes. Each cupcake is supposed to contain 10 grams of
sugar. The cupcakes are produced by a machine that adds the sugar
in a bowl before mixing everything. You believe the machine does
not add 10 grams of sugar for each cupcake. If your assumption is
true, the machine needs to be fixed. You stored the level of sugar
of thirty cupcakes. Note: You can create a randomized...

Write the corresponding letter of the distribution used to
conduct the test to answer the question or to find the probability
requested in the blank to the left of the given information. You
will only use each letter once.
Student’s T
Standard Normal
Chi-Square
Binomial
Poisson
________________ Researchers want to
study the effect of a new drug on reducing cholesterol levels. A
sample of 500 individuals with high cholesterol were randomly
assigned to one of two groups (placebo, drug). The...

choose correct answer and explain why its true or how you get
it?
1/A discrete probability distribution:
a/
assigns a probability to each possible value of the random
variable.
b/
can assume values between -1 and +1.
c/
is a listing of all possible values of the random variable.
d/is independent of the parameters of the distribution
2/
The probability that event A occurs, given that event
B has occurred, is an example of:
a/
a marginal probability.
b/
more...

1.Find the critical value tα/2 needed to construct a
confidence interval of the given level with given sample
size.
Level 90%, sample size 21
Group of answer choices
1.725
1.325
1.721
1.645
2.
Find the probability P(-0.62 < z < -0.01) using the
standard normal distribution.
Group of answer choices
0.2284
0.3584
0.7716
0.1900

1. For which type of continuous distribution are the mean and
the median always the same?
uniform and normal distributions only
all of the above
uniform distribution
exponential distribution
normal distribution
2. The skewness of a normal distribution is:
negative
zero
positive
something that varies
3. The standard normal probability distribution has a mean of
______ and a standard deviation of ______.
0, 1
1, 0
1, 1
0, 0
4. Any normal probability distribution can be converted to a...

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