Question

In this assignment, you will use the confidence intervals calculated in Unit 5 to determine if two means are the same.

Steps

Open your Unit 6 assignment

Identify the means and confidence intervals for the resting heart rate for mean and women.

Use the 95% confidence intervals to determine if the resting male heart is the same as the resting female heart.

Repeat the comparison for the 99% confidence interval.

In a Word documents, explain why you think the two means are or are not the same with a 95% level of confidence. Be certain to repeat your argument for a 99% level of confidence.

			Male at Rest		Male After Exercise			Female at Rest		Female After Exercise
Mean			80.3852		90.2843			81.7696		91.2293
Standard Error			0.6786		0.7525			0.6536		0.6166
Medan			80.1		90.35			80.8		90.6
Mode			74.8		97.4			80.6		93.5
Standard Deviation			7.0525		7.8204			6.2688		5.9138
Sample Variance			49.7372		61.1578			39.298		34.9731
Kurtosis			-0.205		-0.1275			0.3909		0.2781
Skewness			0.1393		-0.2864			0.1816		-0.0363
Range			37.1		38.5			32		31.7
Minimum			59		68.2			65.3		72.8
Maximum			96.1		106.7			97.3		104.5
Sum			8681.6		9750.7			7522.8		8393.1
Count			108		108			92		92
Confidence Level (95%)			1.3453		1.4918			1.2982		1.2247
95% Upper Limit			79.0399		88.7925			80.473		90.0046
95% Lower Limit			81.7305		91.7761			83.0678		92.4541
Confidence Level (99%)			1.7797		1.9735			1.7195		1.6221
99% Upper Limit			78.6055		88.3107			80.0501		89.6072
99% Lower Limit			82.1649		92.2578			83.4891		92.8518

Answer 1

Use the 95% confidence intervals to determine if the resting male heart is the same as the resting female heart.

the 95% confidence limit for resting male is ( 79.0399 , 81.7305)

the 95% confidence limit for resting female is ( 80.473, 83.0678)

Since the lower limit of feamale 95% confidence interval is less thn the upper limit of the male 95% confidence interval, we conclude that the male and female means are not significantlly different.

the 99% confidence limit for resting male is (78.6055 , 82.1649)

the 99% confidence limit for resting female is ( 80.0501, 83.4891)

From these confidence interval the conclusion is same as from the above part.

Since the absolute critical value for 99% confidence level is greater than the 95% confidence level. so that the width of the 99% confidence interval is larger than the width of the 95% confidence level.