Question

QUESTION 23 4 points Problem 23) For a project that investigates the average weight difference by gender of patients from the Mayo clinic, the researcher collected a sample of 64 male patients and another sample of 36 female patients. The researcher then cakulated the sample mean of male patients as 160 lbs with a sample standard deviation of 20 lbs, and the sample mean of female patients as 140 lbs with a sample standard deviation of 10 lbs. Test the claim that the average weight of male patients is more than that of female patients. Assume unequal population standard deviation. Given the significance level equals 5 (Question). Step 3: Find the test statistics.

Answer 1

i am using minitab to solve the problem.

steps:-

copy the data in minitab stat basic statistics 2 sample t select summarized data in sample 1 type 64 in sample size, 160 in sample mean, 20 in standard deviation in sample 2 type 36 in sample size, 140 in sample mean, 10 in standard deviation options in confidence level type 95 in hypothesized difference type 0 select the alternative hypothesis as difference > hypothesized difference ok ok.

*** SOLUTION***

hypothesis:-

HO: - 2 = 0
[ i am denoting male by sample 1 and female by sample 2]

[ claim ]

H1: M1 - 2 > 0

the test statistic is (t) = 6.66

p value = 0.000

decision:-

p value = 0.000 < 0.05 (alpha)

we reject the null hypothesis. There is enough evidence to claim that average weight of male patients is more than that of female patients.

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