Please show all your work to solve the problem, thank you.

2)The data below is the heart rate, in beats per minute, from 18 individuals after two minutes of exercise on a treadmill.

78

87

88

89

90

95

96

97

98

102

104

105

107

108

112

120

132

142

a. Explore this data by producing a graph. You may choose any graph that is appropriate for this type of data, and allows you to describe the shape. NEATLY! You may also use a computer to make an appropriate graph. Staple the graph to the back. (You may use technology to create the graph or draw neatly by hand).

b. Briefly describe the shape of the distribution. You must use statistical language in your description.

c. The average heart rate for all adults is 72 beats per minute. Does this sample suggest that two minutes of exercise on a treadmill significantly increases the average heart rate? Perform a hypothesis test to answer this question.

State appropriate hypotheses insymbols.

Null:

Alternate:

(this question is continued on the next page ...)

Find the Critical Value(s):______

Find the Test Statistic: _______

Find the p-value: _______

Initial Conclusion:

Justification for initial conclusion using the critical value method:

Justification for initial conclusion using the p-value method:

State your conclusion clearly in complete sentences that reflect the context of this scenario.

d. Your friend is a manager of a local gym. He is interested in including the results of this study in an upcoming newsletter but seeks your advice first. Comment on any concerns you may have about drawing conclusions from this study. (Note: You SHOULD have concerns - in fact there are at least TWO major concerns.) If you have concerns, what would you recommend as ways to address your concerns if the study was redone? BE SURE TO USE APPROPRIATE STATISTICAL LANGUAGE.