Question

Are you smarter than a second-grader? A random sample of 55 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x=55. Assume the standard deviation of test scores is σ=10. The nationwide average score on this test is 51. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Use the α=0.01 level of significance and the P-value method with the table.

1) State the appropriate null and alternate hypotheses.

H0:

H1:

This hypothesis test is a two tailed, right or left test?

2) Compute the value of the test statistic. Round the answer to at
least two decimal places.

3)Find the P-value. Round the answer to at least four decimal places.

4) Determine whether to reject H0.

reject or do not reject the null hypothesis H0?

5) State a conclusion.

There is or is not enough evidence to conclude that the calibration point Is set too high, calibration point is set too low or scale is out of calibration

Answer #1

A random sample of 64 second-graders in a certain school
district are given a standardized mathematics skills test.
The sample mean score is 51.21. Assume the
standard deviation for the population of test scores is 15. The
nationwide average score on this test is 50. The school
superintendent wants to know whether the second-graders in her
school district have greater math skills than the nationwide
average. Perform the hypothesis test and compute the p-value. Round
to four decimal places.

Question 12
A random sample of 64 second-graders in a certain school
district are given a standardized mathematics skills test. The
sample mean score is 51.12 . Assume the standard deviation for the
population of test scores is 15. The nationwide average score on
this test is 50. The school superintendent wants to know whether
the second-graders in her school district have greater math skills
than the nationwide average. Perform the hypothesis test and
compute the P-value.
Write down your...

1. A random sample of 64 second graders in a certain school
district are given a standardized mathematics skills test. The
sample mean score is 51.93. Assume the standard deviation for the
population of test scores is 15. The nationwide average score on
this test is 50. The school superintendent wants to know whether
the second graders in her school district have greater math skills
than the nationwide average. Perform the hypothesis test and
compute the P value. Based on...

Question 14
Suppose that the mean price of a home in Denver, Colorado in
2008 was 225.3 thousand dollars. A random sample of 49 homes sold
in 2010 had a mean price of 198.7 thousand dollars. A real estate
firm wants to test to see if the mean price in 2010 differs from
the from mean price in 2008. Assume that the population standard
deviation is 140. Perform the hypothesis test and compute the
P-value.
Write down your P-value. You...

please answer all
1.
A study showed that in a certain month, the mean time spent per
visit to Facebook was 19.5 minutes. Assumes the standard deviation
of the population is 8 minutes. Suppose that a simple random sample
of 100 visits in that month has a sample mean of 21.35 minutes. A
social scientist is interested in knowing whether the mean time of
Facebook visits has increased. Perform the hypothesis test and
compute the P-value.
Based on the P...

A random sample of 37 second graders who participated in sports
had manual dexterity scores with mean 32.29 and standard
deviation
4.14.
An independent sample of 37 second graders who did not
participate in sports had manual dexterity scores with mean 31.88
and standard deviation
4.86.
(a)
Test to see whether sufficient evidence exists to indicate that
second graders who participate in sports have a higher mean
dexterity score. Use
α = 0.05.
State the null and alternative hypotheses. (Us...

A random sample of 82 eighth grade students' scores on a
national mathematics assessment test has a mean score of 292. This
test result prompts a state school administrator to declare that
the mean score for the state's eighth-graders on this exam is more
than 285. Assume that the population standard deviation is 30. At
α=0.14 is there enough evidence to support the administration's
claim? Complete parts (a) through (e).
a) Write the claim mathematically and identify H0 and Ha....

A random sample of 84 eighth grade students' scores on a
national mathematics assessment test has a mean score of 294. This
test result prompts a state school administrator to declare that
the mean score for the state's eighth-graders on this exam is more
than 285. Assume that the population standard deviation is 31. At α
= 0.10, is there enough evidence to support the administration's
claim?
Write out the hypotheses statements below and identify the
parameter of interest.
Ho...

Calibrating a scale: Making sure that the scales used by
businesses in the United States are accurate is the responsibility
of the National Institute for Standards and Technology (NIST) in
Washington, D.C. Suppose that NIST technicians are testing a scale
by using a weight known to weigh exactly 1000 grams. The standard
deviation for scale reading is known to be σ=3.1. They weigh this
weight on the scale 45 times and read the result each time. The 45
scale readings...

Pre-Activity Question: A random sample of 84
eighth grade students' scores on a national mathematics assessment
test has a mean score of 294. This test result prompts a state
school administrator to declare that the mean score for the
state's eighth graders on this exam is more than 285. Assume that
the population standard deviation is 31. At α = 0.10, is there
enough evidence to support the administrator's claim?
Write out the hypotheses statements below and identify the
parameter...

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