Question

3. Given the information on the sample below, use the steps to construct a 95% confidence interval for the population mean. Assume that the population is normally distributed.

A college gives the same calculus final to all sections of the course. A sample of thirty randomly selected students that took the calculus final was collected after the exam. The mean score of the sample was 80 and the standard deviation of the sample was 13.2.

A) Find the critical value Tstigma/2 " that corresponds to a 95% confidence level.

B) Calculate “E”

C) Construct your confidence interval.

Q2:) 11. Below is data for the number of registered pleasure boats in a particular area in Florida at a particular time (in tens of thousands) and the number of manatee fatalities during the same time period.

Table: Use this table to answer questions

Pleasure Boats: 99-99-97-95-90-90-87-90-90

Manatee Fatalities: 92-73-90-97-83-88-81-73-68

A) Enter the data into stat crunch. Using either an r-value or a p-value, is there sufficient evidence to claim that there is a linear correlation between the number of pleasure boats and the number of manatee deaths in Florida? Explain your answer (yes or no) by using either the r-value of the p-value and using the 0.05 significance level.

B) State the regression equation for the table above (use pleasure boats as x and manatee fatalities as y)

C) In a time not reported there were 92 (920,000) pleasure boats in a particular area. Based on your work in part a, what is the best prediction for the number of manatee deaths that would have occurred that year? Explain how you got your answer.

Q3:) 12. Tests for adverse reactions in a new drug yielded the results given in the table below. Using the steps below, at the 0.05 significance level, test the claim that the treatment (drug or placebo) is independent of the reaction (whether or not headaches were experienced).

A) Using your Chi-Square table, find the critical value at the 0.05 significance level.

B) Enter your data in stat crunch and run a test for independence. State your Test Statistic (X^2") and your p-value.

Test Statistic (X^2"):

P-value:

C) What can you conclude? Specifically, does it appear that getting a headache is dependent or independent of whether you took the drug or placebo? Does it appear that a side effect of taking the drug is headaches?

Answer #1

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among
4560
patients treated with the drug,
163
developed the adverse reaction of nausea. Construct a
90%
confidence interval for the proportion of adverse reactions.
a) Find the best point estimate of the population proportion
p.
b) Identify the value of the margin of error E.
c) Construct the confidence...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among 4994 patients treated with the drug,
180 developed the adverse reaction of nausea. Construct a 95%
confidence interval for the proportion of adverse reactions.
a) Find the best point estimate of the population
proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among 4469 patients treated with the drug,
190 developed the adverse reaction of nausea. Construct a 90%
confidence interval for the proportion of adverse reactions.
a) Find the best point estimate of the population proportion
p.
(Round to three decimal places as needed.)
b) Identify the value of the margin...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among 4133 patients treated with the drug,
166 developed the adverse reaction of nausea. Construct a 95%
confidence interval for the proportion of adverse reactions.
A. Find the best point estimate of the population proportion
p.
B. Identify the value of the margin of error E.
C. Construct the confidence...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among
4248
patients treated with the drug,
101
developed the adverse reaction of nausea. Construct a
95% confidence interval for the proportion of adverse
reactions.
a) Find the best point estimate of the population proportion
p.
(Round to three decimal places as needed.)
b) Identify the value of the margin...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll,
n equals n=963
and
x=587
who said "yes." Use a
90%
confidence level.
LOADING...
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion
p.
nothing
(Round to three decimal places as needed.)
b) Identify the value of the...

Use the sample data and confidence level given below to complete
parts? (a) through? (d). A research institute poll asked
respondents if they felt vulnerable to identity theft. In the?
poll, n equals 1070 and x equals 572 who said? "yes." Use a 95 %
confidence level. LOADING... Click the icon to view a table of z
scores. ?a) Find the best point estimate of the population
proportion p. nothing ?(Round to three decimal places as? needed.)
?b) Identify the...

Use the sample data and confidence level given below to complete
parts (a) through (d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll, n equals 1002 and x
equals 523 who said "yes." Use a 90 % confidence level.
LOADING... Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
nothing (Round to three decimal places as needed.)
b) Identify...

Use the sample data and confidence level given below to complete
parts (a) through (d). A research institute poll asked
respondents if they felt vulnerable to identity theft. In the
poll, n equals 908 and x equals 534 who said "yes." Use a 95 %
confidence level. Click the icon to view a table of z scores. a)
Find the best point estimate of the population proportion p.
nothing (Round to three decimal places as needed.) b) Identify
the value...

Use the following information for the next 7 questions:
A simple random sample of 50 adults is obtained and each
person's red blood cell count (in cells per microfilter) is
obtained. The sample mean in 4.63. The population standard
deviation for all blood cell counts is assumed to be 0.54. Test at
the .05 level whether the population mean blood count is less than
5.
Question 8: The data summary here is n=50 and x=
4.63
A. s= 0.54
B....

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