Question

1) Explain what inferential statistics is used for

2) Define briefly and in your words the p-value

3) Provide an example where a hypothesis test would be worth doing with a null hypothesis μ1-μ2 = 0, and with an alternative hypothesis of μ1-μ2 ≠ 0

4) Explain why, in confidence intervals, when moving from a case in which the population variance is known to another in which this value is estimated from samples (sample variance), the length of the interval grows - keeping everything else constant.

5) Suppose we have a parameter k that interests me. I establish a null hypothesis that says k = 0, and an alternative hypothesis of k ≠ 0. At the end of my procedure, I have a p-value of 0.0001. What is the conclusion of this analysis?

6) Briefly explain what the central limit theorem consists of.

Answer #1

As per the guidelines I am suggested to answer only one question at a time. Please ask the rest of the questions separately, I will be happy to help.

Answer 1) Inferential statistics is used to make judgements and predictions about the population data by seeing a sample of that population. For example, if we consider a mall, we can take a survey of 100 people in the mall about whether they shopped at Apple store, or not. So we can get an idea about the over all population, and what percentage of overall population shopped at apple. We also use inferential statistics to make judgments of the probability that an observed difference between groups is a dependable one or one that might have happened by chance in a particular study. It is used at many places in our life widely, that is why it is of utmost use.

Question 13 (1 point)
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 13 options:
1)
HO: μ1 =
μ2
HA: μ1 ≠...

1) A demographer wants to measure life expectancy in countries 1
and 2. Let μ1 and μ2 denote the mean life expectancy in countries 1
and 2, respectively. Specify the hypothesis to determine if life
expectancy in country 1 is more than 10 years lower than in country
2.
A) H0:μ1– μ2≤10, HA:μ1– μ2>10
B) H0:μ1– μ2≥10, HA: μ1– μ2<10
C)H0:μ1– μ2≤–10, HA:μ1– μ2>−10
D)H0:μ1– μ2≥–10, HA:μ1– μ2<−10
2) A restaurant chain has two locations in a medium-sized town
and,...

A researcher wants to evaluate the pain relief effectiveness of
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from 0 to 10 (where 0 = no pain at all, and 10 = the most pain you
can imagine), she compares the pain level for a sample of
n1 = 4 people who received the new medication, with the
pain level for a sample of n2 = 4 people who received a
placebo. The data are as follows:...

True/False, if false briefly explain.
1. The margin of error for a confidence interval used for an
opinion poll does not take into account the fact that people who
did not answer the poll questions may have had different responses
from those who did answer the questions.
2. If the p-value for a significance test is 0.35, we can
conclude that the null hypothesis has a 35% chance of being
true.
3. A student project used a confidence interval to...

****PLEASE ANSWER ALL QUESTIONS****
Question 12 (1 point)
A medical researcher wants to determine if the average hospital
stay of patients that undergo a certain procedure is greater than
8.7 days. The hypotheses for this scenario are as follows: Null
Hypothesis: μ ≤ 8.7, Alternative Hypothesis: μ > 8.7. If the
researcher takes a random sample of patients and calculates a
p-value of 0.0942 based on the data, what is the appropriate
conclusion? Conclude at the 5% level of significance....

The last post I think has a wrong answer involved but everything
I put in bold are the answers I plugged in but only received
86%
A report says that 82% of British Columbians over the age of 25
are high school graduates. A survey of randomly selected residents
of a certain city included 1290 who were over the age of 25, and
1135 of them were high school graduates. Does the city's survey
result provide sufficient evidence to contradict...

A researcher compares two compounds (1 and 2) used in the
manufacture of car tires that are designed to reduce braking
distances for SUVs equipped with the tires. The mean braking
distance for SUVs equipped with tires made with compound 1 is 55
feet, with a population standard deviation of 5.6. The mean braking
distance for SUVs equipped with tires made with compound 2 is 60
feet, with a population standard deviation of 14.2. Suppose that a
sample of 69...

(1 point) A report says that 82% of British Columbians over the
age of 25 are high school graduates. A survey of randomly selected
British Columbians included 1290 who were over the age of 25, and
1135 of them were high school graduates. Does the cityâs survey
result provide sufficient evidence to contradict the reported
value, 82%?
Part i) What is the parameter of
interest?
A. Whether a British Columbian is a high school
graduate.
B. The proportion of 1290...

1. A researcher wants to test whether color can influence recall
of words in a list. To test this, the researcher displays 20 words
on a computer screen. Ten words are in color, and 10 words are in
black. All words are presented on a white background. Participants
are given 1 minute to view the list, and then the list is taken
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as many words as they can recall....

The Reliable Housewares store manager wants to learn more about
the purchasing behavior of its "credit" customers. In fact, he is
speculating about four specific cases shown below (a) through (d)
and wants you to help him test their accuracy.
The average annual income of credit customers is less than
$48,000.
The true population proportion of credit customers who live in
an urban area exceeds 55%.
The average number of years lived in the current home is less
than 14...

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