Question

Gender	Blood Glucose
Female	94		d. Determine the sample mean and sample standard deviation of the Blood Glucose for both men and women. Test the claim that the average mean Blood Glucose of women is different from the average mean Blood Glucose of men. Use α = 0.01. Hint: It would be helpful to sort the data based on gender. (8 points)
Male	92
Male	93		Mean Glucose Female
Female	94		Standard Deviation Glucose Female
Male	98		Sample Size Female
Female	103		Mean Glucose Male
Female	85		Standard Devation Male
Male	79		Sample Size Male
Female	99
Female	94		Hypotheses
Female	93		Test Statistic
Female	84		Critical Value
Female	89		P Value
Female	78		Lower Limit Confidence Interval
Male	95		Upper Limit Confidence Interval
Male	103		Conclusion
Female	93		Interpretation
Female	85

Answer 1

mean glucose female:90.92

Standard Deviation Glucose Female:6.99

sample size female:12

mean glucose male:93.33

Standard Deviation Glucose male:8.07

sample size male:6

hypothesis:$H_{0}:\mu _{1}=\mu _{2}$ VS $H_{1}:\mu _{1}\neq \mu _{2}$

here we have done a two sample t test for mean

test statistic:

critical value: -0.62

p value: 0.550

lower limit confidence interval -11.32

upper limit confidence interval: 6.50

conclusion and interpretation: here p value=0.550>0.01 so we are accepting our null hypothesis.so we can claim that the average mean Blood Glucose of women is not different from the average mean Blood Glucose of men