Question

In a consumer research study, several Meijer and Walmart stores
were surveyed at random and the average basket price was recorded
for each. You wish to determine if the average basket price for
Meijer is different from the average basket price for Walmart. It
was found that the average basket price for 18 randomly chosen
Meijer stores (group 1) was $49.451 with a standard deviation of
$12.3146. Similarly, a random sample of 25 Walmart stores (group 2)
had an average basket price of $56.847 with a standard deviation of
$13.7821. Perform a two independent samples t-test on the
hypotheses Null Hypothesis: μ_{1} = μ_{2},
Alternative Hypothesis: μ_{1} ≠ μ_{2}. What is the
test statistic and p-value of this test? You can assume that the
standard deviations of the two populations are statistically
similar.

Answer #1

Question 11 (1 point)
A suggestion is made that the proportion of people who have food
allergies and/or sensitivities is 0.48. You believe that the
proportion is actually less than 0.48. The hypotheses for this test
are Null Hypothesis: p ≥ 0.48, Alternative Hypothesis: p < 0.48.
If you select a random sample of 28 people and 12 have a food
allergy and/or sensitivity, what is your test statistic and
p-value?
Question 11 options:
1)
Test Statistic: 0.545, P-Value: 0.293...

A customer wants to estimate the average delivery time of a
pizza from the local pizza parlor. The customer wants to obtain a
sample mean that falls within 3.212 minutes of the true average
delivery time with 90% confidence. If the customer knows the
standard deviation of the delivery times of all pizzas is 11.959,
how many pizzas will need to be ordered?
Question 6 options:
1)
We do not have enough information to answer this question since
we were...

Two random samples were independently generated from two
populations, as follows below. The two populations share the same
variance of σ². X can be considered the control group and Y the
treatment group.
and
A. Find the likelihood function, i.e., the joint density
function of X and Y.
B. Derive the maximum likelihood estimates of μ1, μ2, and
σ².
C. Suppose the null hypothesis is μ1=μ2 and alternative
hypothesis is μ1 μ2. Write the formula for calculating the
likelihood of...

A statistics professor wants to examine the number of hours that
seniors and freshmen study for the final. Specifically, the
professor wants to test if the average number of hours that seniors
study is greater than the average number of hours that freshmen
study. If the seniors are considered group 1 and the freshmen are
considered group 2, what are the hypotheses for this scenario?
Question 1 options:
1)
HO: μ1 ≤ μ2
HA: μ1 > μ2
2)
HO: μ1...

The owner of two stores tracks the times for customer service in
seconds. She thinks store 1 has longer service times. Perform a
hypothesis test on the difference of the means. We know the
population standard deviations. (This is rare.)
Population 1 has standard deviation σ1=σ1= 4.5
Population 2 has standard deviation σ2=σ2= 4.5
The populations are normal. Use alph=0.05alph=0.05
Use the claim for the alternate hypothesis.
Service time store 1
174
184
170
174
174
189
174
179
176...

ANOVA test questions
A) There are five basic assumptions that must be fulfilled in
order to perform a one-way ANOVA test. What are they?
Write one assumption. (from the following)
Each population from which a sample is taken is assumed to be
uniform.
Each sample is assumed to be
uniform.
Each population from which a sample is taken is assumed to be
normal.
Each sample is assumed to be normal.
B) There are five basic assumptions that must be fulfilled...

A random sample of n1 = 52 men and a random sample of
n2 = 48 women were chosen to wear a pedometer for a
day.
The men’s pedometers reported that they took an average of 8,342
steps per day, with a standard deviation of
s1 = 371 steps.
The women’s pedometers reported that they took an average of
8,539 steps per day, with a standard deviation of s2 =
214 steps.
We want to test whether men and women...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 8.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 11.
Test the claim that the population means are different. Use
level of significance 0.01.(a) Check Requirements: What
distribution does the sample test statistic follow? Explain.
The...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 3
had a sample mean of
x1 = 13.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 4
had a sample mean of
x2 = 15.
Test the claim that the population means are different. Use
level of significance 0.01.
(a) Check Requirements: What distribution does the sample test
statistic follow? Explain....

In the journal Mental Retardation, an article reported the
results of a peer tutoring program to help mildly mentally retarded
children learn to read. In the experiment, the mildly retarded
children were randomly divided into two groups: the experimental
group received peer tutoring along with regular instruction, and
the control group received regular instruction with no peer
tutoring. There were n1 = n2 = 36 children in each group. The
Gates-MacGintie Reading Test was given to both groups before
instruction...

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