A security expert claims that exactly 13%

Question

 A security expert claims that exactly 13% of all homeowners have a home security alarm. State

H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

 
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A local chess club claims that the length of time to play a game

Question

  A local chess club claims that the length of time to play a game has a mean of 

22 minutes or or more. Write sentences describing type I and type II errors for a hypothesis test of this claim.
A type I error will occur if the actual mean of the length of time to play a game is ____ 22 minutes, but you ____  the null hypothesis, _____ 

A type II error will occur if the actual mean of the length of time to play a game is _____22 minutes, but you ______ the null hypothesis _

 
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For the statement below, write the claim as a mathematical

Question

  For the statement below, write the claim as a mathematical

statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 77 hours.
Write the claim as a mathematical statement.

 
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Use the given statement to represent a claim

Question

 Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha. />μ≤546
Find the complement of the claim.

 
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Find the expected frequency,

Question

 Find the expected frequency,

Ei, for the given values of n and pi.

n=230

pi=0.38

 
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Find the equation of the regression line

Question

 x       y
37     22
34     20
39     24
45     32
43     27
48    

31
60     31
54     26
52     29

Find the equation of the regression line.

Construct a scatter plot of the data and draw the regression line. Plot the x-values on the horizontal axis and they-values on the vertical axis.

Construct a residual plot. Plot the x-values on the horizontal axis and the residuals on the vertical axis.

Determine if there are any patterns in the residual plot and explain what they suggest about the relationship between the variables. ( The residual plot shows/does not show a pattern because the residuals fluctuate/do not fluctuate about 0. This implies the regression line is/is not a good representation of the relationship between the variables.

 
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Result Brand-name Generic Placebo Improvement

Question

 Result                  Brand-name      Generic       Placebo
Improvement            

  16                    29                13
No change                  12                    20                 44

Calculate the marginal frequencies and sample size.

Find the expected frequency for each cell in the contingency table.

Assume that the variables are independent.

 
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Result Brand-name Generic Placebo Improvement

Question

 Result                  Brand-name      Generic       Placebo
Improvement            

  16                    29                13
No change                  12                    20                 44

Calculate the marginal frequencies and sample size.

Find the expected frequency for each cell in the contingency table.

Assume that the variables are independent.

 
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Find the equation of the regression line for the given data

Question

 Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw

the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.

Height, x                Stories, y
768                            52
628                           48
518                            50
511                             27
491                            38
478                           34


(a) x=502 feet
(b) x=652 feet
(c) x=802 feet
 
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The budget (in millions of dollars) and worldwide gross

Question

 The budget (in millions of dollars) and worldwide gross (in millions of dollars) for eight movies are shown

below.

Budget, x                 Gross, y
205                             517
205                             386
199                             1804
199                              752
180                              715
174                              239
174                              230
171                               414

Display the data in a scatter plot.

Calculate the correlation coefficient r.

Make a conclusion about the type of correlation.

 
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