I need help with a stats question from section 8.1 and 8.2, please help with TI-84 calc. commands, thanks :)

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of

10

mature female pink seaperch collected in fall has a mean length of

116

millimeters and a standard deviation of

15

millimeters. A sample of

2

mature female pink seaperch collected in winter has a mean length of

108

millimeters and a standard deviation of

14

millimeters. At

=0.20,

can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.

(a) Identify the claim and state

H0

and

Ha.

Which is the correct claim below?

A. "The mean length of mature female pink seaperch is the same in fall and winter."

B. "The mean length of mature female pink seaperch is greater in the fall than in the winter."

C. "The mean length of mature female pink seaperch is different in fall and winter."

D. "The mean length of mature female pink seaperch is greater in the winter than in the fall."

What are the H0 and Ha?

The null hypothesis, H0 is _______________________ (U1=U2, U1<- U2, U1>-U2)) The alternative hypothesis, Ha, is _______________________________ ( U1 does not =U2, U1>U2, U1

Which hypothesis is the claim?

the null hypothesis, H0

or

the alternative hypothesis, Ha

(b) the find the critical value(s) and identify the rejection region(s).

enter the critical value below

_______________________________________ (type an integer or decimal rounded to 3 decimal places as needed. Use a comma to separate answers as needed)

Select the correct rejection region(s) below.

A. t<-t0

B. t<-t0, t>t0

C.t>t0

D. -t0 < t < t0

(c) find the standardized test statistic

t=________________ (type an integer or decimal rounded to 3 places as needed)

(d) decide whether to reject or fail to reject the null hypothesis

___________________________ (fail to reject or reject) the null hypothesis.

interpretation

AT the 20% significance level. ________________________________ (there is not or there is ) enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.