State the Null Hypothesis
State the Alternative Hypothesis
Find the test statistic
Find the critical value or values
State the conclusions to the hypothesis test.
Please find all of the above for the scenarios below
Part I. A university is looking into its mathematics placement
procedure. The university assumes its population mean math SAT
score of all incoming freshmen is 600. Suppose that a simple random
sample of 33 freshmen at that university reveals a mean math SAT
score of...
A t statistic was used to conduct a test of the null hypothesis
H0: µ = 11 against the alternative Ha: µ ≠
11, with a p-value equal to 0.042. A two-sided confidence interval
for µ is to be considered. Of the following, which is the largest
level of confidence for which the confidence interval will NOT
contain 11?
A 90% confidence level
A 92% confidence level
A 96% confidence level
A 97% confidence level
A 98% confidence level
For the following, conduct a hypothesis test using the p-value
or critical value method.
Find and state: a) H1 or H0, as requested,
b) zc or tc value as appropriate c) z or t
value as appropriate d) the interpreted answer to the question.
The S-Tepp Light Bulb Company claims the mean life of a certain
type of bulb more than 2500 hours, with a population standard
deviation of 400 hours. Tonia’s random sample of 182 bulbs has a
mean...
Use the binomial formula to find the exact p-value (critical
level) when the null hypothesis is p(success)≤ 0.3 and the
alternative hypothesis is p(success)> 0.3 and 3 successes are
observed in 25 independent trials.
both questions go together
6. If the null hypothesis in a t-test for two samples
is not rejected, what conclusion can be drawn about the two means
of the categorical variable? Fail to reject null hypothesis'
8. Assume you collected larger samples of individuals
to test your null hypothesis in question
#6. Specifically, the sample sizes increased to 200
subjects in each group. Do your results and conclusions
change from the test of the smaller sample sizes? (You
must show your work).
Use a t-test to test the null hypothesis H0: µX = µY
against the two-sided alternative Ha: µX ≠ µY. Use R
program
(a) Generate 30 values from X ~ N (µX = 10, σX = 4) and
30 values from Y ~ N (µY = 10, σY = 4). . Use a t-test to test the
hypotheses given above.
(b) Include a comment in your code that identifies the
p-value and clearly state the conclusion of the test in...
A two-tailed hypothesis test is being used to evaluate a
treatment effect with α = 0.05. If the sample data produce a
z-score of z = -2.0, then what is the correct decision?
A.Reject the null hypothesis and conclude that the treatment has
no effect
B.Reject the null hypothesis and conclude that the treatment
has an effect
C.Fail to reject the null hypothesis and conclude that the
treatment has no effect
D.Fail to reject the null hypothesis and conclude that...
Identify the null hypothesis, alternative hypothesis,
test statistic, P-value, conclusion about the
null hypothesis, and final conclusion that addresses
both the claim and the significance level
alpha. Use the P-value method.
A sample of 17 jellybeans with a mean weight of 0.8295 g was
taken. Assume that
σ is known to be 0.0565 g. Consider a hypothesis test that uses
a 0.05 significance level
to test the claim that the mean weight of all jellybeans is
equal to 0.8550 g...
Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, conclusion about the null hypothesis, and final
conclusion that addresses the original claim.
Various temperature measurements are recorded at different times
for a particular city. The mean of 20°C is obtained for 60
temperatures on 60 different days. Assuming that test the claim
that the population mean is 22°C . Use a 0.05 significance level.
Testing Hypothesis Z-Table