question archive MATH 1342: Elementary Statistical Methods Assessment     In this project you will be asked to find confidence interval and perform a hypothesis test for the mean of one population

MATH 1342: Elementary Statistical Methods Assessment     In this project you will be asked to find confidence interval and perform a hypothesis test for the mean of one population

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MATH 1342: Elementary Statistical Methods

Assessment

 

 

In this project you will be asked to find confidence interval and perform a hypothesis test for the mean of one population.

Be sure to show all your work neatly.

 

 

Instructions

 

 

The table provided below contains pulse rates after running for 1 minute, collected from females who drink alcohol ("Pulse rates before," 2013). The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of females who do drink alcohol is higher than the mean pulse rate of females who do not drink? Test at the 5% level.

 

Pulse Rates of Woman Who Use Alcohol

176

150

150

115

129

160

120

125

89

132

120

120

68

87

88

72

77

84

92

80

60

67

59

64

88

74

68

 

 

a)      What is the appropriate test for this case?                                                                                                 

b)     What are the assumptions to run the test?                                                                                                 

c)      What is the null hypothesis?                                                                                                                            

d)     What is the alternative hypothesis?                                                                                                              

e)     Determine if this test is left-tailed, right-tailed, or two-tailed.                                                            

f)       What is the significance level?                                                                                                                         

g)      What is the test statistics?                                                                                                                                 

h)     What is the p-value?                                                                                                                                          

i)       Do we reject the null hypothesis? Why?                                                                                                      

j)       What is the conclusion?                                                                                                                                     

k)      What is 95% confidence interval for the population mean?                                                                 

l)       Interpret the confidence interval.                            

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