5 You hypothesize that men will have a larger hand span than

5. You hypothesize that men will have a larger hand span than women. Hand span is the maximum distance between thumb and little finger when a hand is spread out on a flat surface. On a separate sheet of paper, fill out the information requested. Give the sheet to your TA who will compute the numbers you need for this problem and the next. Use these sample data as an estimate of the population values for the entire Biom 301 class.         n=36

Mean hand span of women_18.604 cm                 Standard deviation of hand span in women 1.742718183cm

Mean hand span of men_21.16363636cm                             Standard deviation of hand span in men 2.059744026cm

Sample size men_11                                       Sample size women 25

Test whether men have a larger hand span than women in the Biom 301 class. Assume data meet the assumption of normality and use =0.05

a) State the question (ID the population)

Men will have a larger hand span mean ( in cm) then women in the entire Biom 301 class.

b) State your null and alternative hypotheses (define symbols)

null- women will have a larger hand span mean (in cm) than men in BIOM 301

alterantive- There is no difference in hand span mean between men and women in BIOM 301

c) Analyze your data statistically

d) Using the following online calculator, determine the p-value for your t* value.   http://www.danielsoper.com/statcalc3/calc.aspx?id=8

e) Provide a statement of conclusion that includes the statistical evidence and makes inference back to the population.

I have already completed A+B... need help with c+d+e or at least what formula to insert and what the symbols for formulas mean

Solution

c) we will use z test to analyze the data and relations between them
z= X_1-X₂/(sqrt((M₁^2/n₁)+(M₂^2/n₂)))

z=21.16-18.604/(sqrt(1.74^2/25)+(2.05^2+11))

z=3.58962
d) from link P value for male is 0.10007526
   P value for female is 0.09997091
e) As we see that both the models are significantly different as Z value is larger than 1.96 for 95% confidence interval.