Question

Exercise 1.21 introduces a study examining whether or not noses continue to grow throughout a person's lifetime. The study included many measurements (including size of the nose as measured by total volume) and included multiple tests. Exercises 4.98 to 4.100 each describe one of the tests along with information about the p-value for that test. In each case:

- (a)State the hypotheses.
- (b)Give the formal decision using a 5% significance level, and interpret the conclusion in context.

1)In a test to see whether males, on average, have bigger noses
than females, the study indicates that “*p* < 0.01.”

2)In a test to see whether there is a positive linear
relationship between age and nose size, the study indicates that
“*p* < 0.001.”

Answer #1

(a) **Hypothesis:** Males generally have bigger
noses than females i.e. **H _{0}:
m_{1}>m_{2}**where

Since **p<0.01**, this suggests that the
hypothesis (a) should be rejected at 5% level of
significance(**p< 0.05)** and it can be concluded
that males do not have bigger noses than females.

(b) **Hypothesis:** There is a positive linear
relationship between age and nose size i.e. **H _{0}:
r > 0** where

Since **p < 0.001,** this suggests that the
hypothesis (b) should also be rejected at 5% level of
significance(**p< 0.05)** and it can be concluded
that there is no positive linear relationship between age and nose
size.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 7 minutes ago

asked 27 minutes ago

asked 54 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago