hat value does your test statistic.T take on with the sample data? hat type of probability distribution does your test statistic.T, have? normal Chi-Squared Cauchy binomial many degrees of freedom does have? [ lculate the critical value. tstas for your test.(negative value) [ what values of your best statistic, T, is the null hypothesis rejected? T> star or T <-tstar IT-tstar < .05 T> tstar/2 or T <-star/2 T> star alculate the p-value for this test. the null hypothesis rejected? (Y/N) Y
hat value does your test statistic.T take on with the sample data? hat type of probability distribution does your test statistic.T, have? normal Chi-Squared Cauchy binomial many degrees of freedom does have? [ lculate the critical value. tstas for your test.(negative value) [ what values of your best statistic, T, is the null hypothesis rejected? T> star or T <-tstar IT-tstar < .05 T> tstar/2 or T <-star/2 T> star alculate the p-value for this test. the null hypothesis rejected? (Y/N) Y
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve (D,E,F,G,H) only Please!!!
![c) What value does your test statistic, T, take on with the sample data?
d) What type of probability distribution does your test statistic,T, have?
normal
O Chi-Squared
Ot
O Cauchy
O binomial
e) How many degrees of freedom does T have?
f) Calculate the critical value, tstar, for your test.(negative value)
g) For what values of your test statistic, T, is the null hypothesis rejected?
OT> tstar or T < -tstar
ⒸIT-tstar| < .05
OT> tstar/2 or T< -tstar/2
OT <tstar
OT> tstar
h) Calculate the p-value for this test.
i) Is the null hypothesis rejected? (Y/N)
ⒸY
ON
j) If we ran 1000 5% level tests then about how many times would we make a Type I error?
k) k. Create a 95% confidence interval for the true average speed of automobiles in the A23 construction zone. (
1) Copy your R script or any other comments for the above into the text box here.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71642573-4a24-4c57-981f-a1c59fb23467%2F53dffc07-db5d-4ac0-9d48-8f4f4b320834%2Fiinw0l_processed.png&w=3840&q=75)
Transcribed Image Text:c) What value does your test statistic, T, take on with the sample data?
d) What type of probability distribution does your test statistic,T, have?
normal
O Chi-Squared
Ot
O Cauchy
O binomial
e) How many degrees of freedom does T have?
f) Calculate the critical value, tstar, for your test.(negative value)
g) For what values of your test statistic, T, is the null hypothesis rejected?
OT> tstar or T < -tstar
ⒸIT-tstar| < .05
OT> tstar/2 or T< -tstar/2
OT <tstar
OT> tstar
h) Calculate the p-value for this test.
i) Is the null hypothesis rejected? (Y/N)
ⒸY
ON
j) If we ran 1000 5% level tests then about how many times would we make a Type I error?
k) k. Create a 95% confidence interval for the true average speed of automobiles in the A23 construction zone. (
1) Copy your R script or any other comments for the above into the text box here.
![The speeds of automobiles in the A23 construction zone are normally distributed with an unknown mean of u and an unknown standard deviation of o. The posted speed limit is 25 miles per hour (mph). Using a radar gun, a police officer took 10 independent measurements of the speeds of automobiles passing through the construction zoner.
The measurements were (in mph)::
34, 27, 25, 29, 30, 30, 21, 32, 33, 27
We would like to test whether the mean mph in the A23 construction zone is greater than 25 mph.
The null hypothesis is thus Ho:u=25. We will test this against the alternative Ha
We want to test at the 5% level.
Let x = the sample mean and s = the sample standard deviation.
a) What should the alternative hypothesis, Ha, be?
O H₂:4<25
OH₂:#25
O H₂:>25
O H₂:μ=25
O H₂:μ=5%
b) What is the formula for your test statistic?
OT = x 5%
OT=
OT=
OT=
OT=
4411
x-25
10
X-25
X-25
10
c) What value does your test statistic, T, take on with the sample data?
d) What type of probability distribution does your test statistic, T, have?
Ⓒnormal
O Chi-Squared
Ot
O Cauchy
O binomial](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71642573-4a24-4c57-981f-a1c59fb23467%2F53dffc07-db5d-4ac0-9d48-8f4f4b320834%2F3y8v16h_processed.png&w=3840&q=75)
Transcribed Image Text:The speeds of automobiles in the A23 construction zone are normally distributed with an unknown mean of u and an unknown standard deviation of o. The posted speed limit is 25 miles per hour (mph). Using a radar gun, a police officer took 10 independent measurements of the speeds of automobiles passing through the construction zoner.
The measurements were (in mph)::
34, 27, 25, 29, 30, 30, 21, 32, 33, 27
We would like to test whether the mean mph in the A23 construction zone is greater than 25 mph.
The null hypothesis is thus Ho:u=25. We will test this against the alternative Ha
We want to test at the 5% level.
Let x = the sample mean and s = the sample standard deviation.
a) What should the alternative hypothesis, Ha, be?
O H₂:4<25
OH₂:#25
O H₂:>25
O H₂:μ=25
O H₂:μ=5%
b) What is the formula for your test statistic?
OT = x 5%
OT=
OT=
OT=
OT=
4411
x-25
10
X-25
X-25
10
c) What value does your test statistic, T, take on with the sample data?
d) What type of probability distribution does your test statistic, T, have?
Ⓒnormal
O Chi-Squared
Ot
O Cauchy
O binomial
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