Question

help with hypothesis t test approximation. photo attached.

Answer 1

I'm guessing they want you to use a table?

Answer 2

or a calculator?

Answer 3

I am unsure of how to approach.

Answer 4

do you have any t-tables with you?

Answer 5

yes

Answer 6

http://mips.stanford.edu/courses/stats_data_analsys/lesson_4/t_table.gif

Answer 7

and that's the only t-table you're given? or that the teacher has in the lecture notes?

Answer 8

actually, this was given

Answer 9

ok let's use that

Answer 10

on page 7, there's table F

Answer 11

we are told that n = 10

so

df = n-1
df = 10-1
df = 9

Answer 12

focus on just the row with df = 9

Answer 13

where does t = 2.214 lie? between which two numbers in that highlighted row?

Answer 14

It lies between 0.10 and 0.05 for the two tail test

Answer 15

the alternate hypothesis is H1: mu > 10

so we're dealing with a one-sided or one-tailed test

in this case, right-tailed

Answer 16

oh correct.

Answer 17

so it is between 0.05 & 0.025

Answer 18

you have them backwards, but yes, between 0.025 and 0.05

Answer 19

It turns out that p-value = 0.0270455391 (approximately)
So saying 0.025 < p < 0.05 is true

Answer 20

Thanks.

Answer 21

np