pls tell me if im correct with this answer

#1
A medical researcher wishes to determine whether there is a difference in the mean systolic blood pressure of 40-year-old males and females. To determine whether a significant difference exists, the researcher selected random samples of 40-year-old males and females and obtained the following results



Male Females

-Sample size 15 10
-Mean systolic blood pressure 132 127
-Standard deviation of 10 5
systolic blood pressure


At the 0.10 level of significance, do the results indicate a significant difference between male and female systolic blood pressures?


MY ANSWER:

T23;0.10=1.319

The null hypothesis will be rejected if the test statistic is greater than 1.319

square root (10-1)*(5)^+(15-1)*(10)^ / 10+15-2=70.65

THE TEST THEN IS:
123-127/7065 * {Square root(1/15)+ (1/10)=0.173

There is not significan difference between male and female since the test statistic (0.173) is less than critical value 1.319
 

JohnM

TS Contributor
#2
Your overall answer is correct, however you have a lot of mathematical / arithmetic errors, and t(.10, 23) = 1.714