Question

Write a set of two-sample t-test hypotheses using symbols for each of the following situations. Define each parameter used.

a) Does a CO2-enriched atmosphere improve lettuce yields over normal atmospheric conditions?

b) Do 5K runners who drink Gatorade tend to run faster than those who drink water?

c) Does systolic blood pressure vary between men and women?

Answer 1

In the two-sample t-test, two sample means are compared to discover whether they come from the same population (meaning there is no difference between the two population means).

a) Does a CO2-enriched atmosphere improve lettuce yields over normal atmospheric conditions?

Null Hypothesis:H₀: u1-u2 = 0

Alternate Hypothesis:H_a: u1-u2 not = 0

where, u1 = lettuce yeild in CO2-enriched atmosphere

and u2 = lettuce yeild in normal atmospheric conditions

b) Do 5K runners who drink Gatorade tend to run faster than those who drink water?

Null Hypothesis:H₀: u1-u2 = 0

Alternate Hypothesis:H_a: u1-u2 not = 0

where, u1 = 5K runners who drink Gatorade

and u2 = 5K runners who drink water

c) Does systolic blood pressure vary between men and women?

Null Hypothesis:H₀: u1-u2 = 0

Alternate Hypothesis:H_a: u1-u2 not = 0

where, u1 = systolic blood pressure in men

and u2 = systolic blood pressure in women