I want you to conduct a hypothesis test for a difference of means for cholesterol levels...

I want you to conduct a hypothesis test for a difference of means for cholesterol levels between male and female students. There are 148 females and 164 males in our sample. You can treat this as a large sample problem and use z-values for confidence intervals and hypothesis tests (however, Excel uses a t-value in anything it calculates). The output from Microsoft Excel is given below to help. Your job will be to find the right numbers in the output to help solve the problem.

EXCEL DESCRIPTIVE STATISTICS FOR CHOLESTEROL LEVELS OF MALES AND FEMALES

Cholesterol	Females	Males
Mean	200.318	196.085
Standard Error	0.881	0.966
Median	201	196
Mode	194	196
Standard Deviation	10.721	12.372
Sample Variance	114.939	153.072
Kurtosis	-0.493	0.015
Skewness	-0.109	0.086
Range	47	61
Minimum	176	166
Maximum	223	227
Sum	29647	32158
Count	148	164
Confidence Level (95.0%)	1.742	1.908

2. The Descriptive Statistics are given above. Put a 95% Confidence Interval around just the female mean. What is the lower bound for the 95% CI? Use 3 significant decimal places and use the proper rules of rounding.

Solutions

Expert Solution

1. We conduct a hypothesis test for a difference of means for cholesterol levels between male and female students. There are n_F = 148 females and n_M =164 males in our sample.

The null and alternative hypothesis is

Test statistic is

where

Test statistic value is

with degree of freedom is

p-value is 0.0013 with 310 degree of freedom for two tailed hypothesis

The p-value is less than level of significance (0.05). We reject the null hypothesis and conclude that there is a difference of means for cholesterol levels between male and female students.

2. 95% Confidence Interval around just the female mean

the lower bound for the 95% CI is 198.591

orchestra answered 1 year ago

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