Unit 6 Assignment

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Running head: CALCULATING CONFIDENCE INTERVALS 1

CALCULATING CONFIDENCE INTERVALS 4

Calculating Confidence Intervals

Name

Institution

Tutor

Course

Date

Male confidence intervals

Before the exercise

Mean = 80.39

Standard Error = 0.68

Standard deviation = 7.05

Confidence interval

Confidence Intervals using z-scores

CL

90%

upper

81.51

z

1.645

lower

79.27

CL

95%

upper

81.72

z

1.96

lower

79.06

CL

99%

upper

82.14

z

2.576

lower

78.64

After the exercise

Mean = 90.28

Standard Error = 0.75

Standard deviation = 7.82

Confidence interval

Confidence Intervals using z-scores

CL

90%

upper

91.52

z

1.645

lower

89.04

CL

95%

upper

91.75

z

1.96

lower

88.81

CL

99%

upper

92.22

z

2.576

lower

88.34

Female confidence intervals

Before the exercise

Mean = 81.77

Standard error = 0.65

Standard deviation = 6.27

N = 92

Confidence interval

Confidence Intervals using z-scores

CL

90%

upper

82.85

z

1.645

lower

80.69

CL

95%

upper

83.05

z

1.96

lower

80.49

CL

99%

upper

83.45

z

2.576

lower

80.09

After the exercise

Mean = 91.23

Standard error = 0.62

Standard deviation = 5.91

N =92

Confidence interval

Confidence Intervals using z-scores

CL

90%

upper

92.24

z

1.645

lower

90.22

CL

95%

upper

92.44

z

1.96

lower

90.02

CL

99%

upper

92.82

z

2.576

lower

89.64

Conclusion

The findings showed that before the exercise men ( n = 108) had a low heart rate (M = 80.39) compared to female ( n = 92, M = 81.77). However men had a higher confidence interval at both 95% and 99% confidence level, 95% CI [88.81,91.75] and 99%CI [88.34,92.22] compared to female at 95% CI [80.49,83.05] and 99% CI [80.09,83.45]. The exercise led to increased heart rate among both male (M= 90.28) and female (M = 91.23). The results also show that an increase in confidence level increases the confidence interval. Thus, 95% confidence level has a small confidence interval compared to 99%.