Question

A researcher conducts a hypothesis test where he compares the
scores of a random sample of students' SAT scores to the national
average of 500. He hopes to show that the students' mean score will
be higher than average. After conducting his experiment, he finds a
*p-*value for his sample to be .06. What does this mean in
the context of his experiment?

Group of answer choices

His students' mean score does not significantly differ from the national average, because his p-value is less than alpha.

His students' mean score does not significantly differ from the national average, because his p-value is greater than alpha.

His students' mean score does significantly differ from the national average, because his p-value is less than alpha.

His students' mean score does significantly differ from the national average, because his p-value is greater than alpha.

Answer #1

Let level of significance is

Since p-value is greater than alpha so students' mean score does not significantly differ from the national average.

Correct option is:

His students' mean score does not significantly differ from the national average, because his p-value is greater than alpha.

---------------------------------------------------------------

Let level of significance is

Since p-value is less than alpha so students' mean score does significantly differ from the national average.

Correct option is:

His students' mean score does significantly differ from the national average, because his p-value is less than alpha.

Allan is worried that students’ scores on examinations differ
significantly based on the paper colors of the examinations, on
average. Allan conducts an Analysis of Variance in which he selects
four examinations at random for each of four paper colors.
Part A- If the value for Sum of Squares Total equals 2,144 and
the value for Mean Squares Within equals 135.5, what does the
calculated value for the associated test statistic equal?
Part B-If the level of significance equals 0.05,...

A sample of 54 students participate in a reading intervention
and their average spring reading comprehension score was 78. A
teacher conducts a one-tailed significance test and compares this
score to the average score of all 5th graders from last year, which
was 74. The p-value was found to be 0.02. What is the most
appropriate conclusion?
A. conclude that the intervention is not effective
b. conclude that the sample of 54 students improved their
reading skills
c. Conclude that students...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 475 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is lower than the national mean SAT-M score. Based...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 520 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is higher than the national mean SAT-M score. Based...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students and a population standard deviation of 125. A
random sample of 100 students entering Whitmer College had an
average SAT Math (SAT-M) score of 530.
The sample data can be used to test the claim that
the mean SAT-M score of all Whitmer College students is different
than the national mean SAT-M score.
From the...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( A i )in each of the 50 states
and D.C. and the percentage ( P i )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the the test scores were better on
average in states where fewer...

A random sample of 36 seventh grade students in Harvard are
given a test on a reading test. Below are their raw scores.
73, 77, 80, 80, 84, 86, 91, 93, 93, 93, 94, 97, 100, 100, 103,
103, 104, 105, 105, 106, 108, 110, 111, 117. 120, 120, 123, 124,
126, 128, 129, 129, 130, 130, 136
Sample mean = 105.97
Sample standard deviation = 17.18
Nationally 30% of the students score 110 points or higher on
this test....

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states
and D.C. and the percentage ( Pi ) of high school
seniors in each state that took the test that year. They found that
the correlation between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states and D.C.
and the percentage ( Pi )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower percentage...

I am worried that the scores of my students tests differ
significantly based on the paper colors of the examinations, on
average. Erich conducts an Analysis of Variance in which he selects
four examinations at random for each of four paper colors.
a. If the value for Sum of Squares Total equals 2,144 and the
value for Mean Squares Within equals 135.5, what does the
calculated value for the associated test statistic equal?
Group of answer choices
1.2743
1.6238
15.8229...

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