Question

of the studen t the cost of that is in some stations, the choice of the The fact frequency for an Stratum av premamany a ute for degrees of freedom tion of na t ional Monument gave the following information kedene Tale nted Stone Tools beeswara HOMONI 0; -tailed NO NEED - The Student'st. We The tandard normal w The arcad e What the other that has a prom h at has on that has an a end you o t ion l y form mably most to the decimal place S s At the t ore TANDARD the hypothesis and the sta ficant

Answer 1

Flaked	Nonflaked	Difference
8	3	5
8	1	7
10	2	8
1	3	-2
4	7	-3
38	32	6
51	30	21
25	12	13

Sample mean of the difference using excel function AVERAGE(), x̅d = 6.8750

Sample standard deviation of the difference using excel function STDEV.S(), sd = 7.7356

Sample size, n = 8

a) Level of significance = 0.05

Null and Alternative hypothesis:

Ho : µd = 0

H1 : µd > 0

It is right tailed.

b) The student's t. We assume that d has an approximately normal distribution.

Test statistic:

t = (x̅d)/(sd/√n) = (6.875)/(7.7356/√8) = 2.5138

df = n-1 = 7

c) p-value :

Right tailed p-value = T.DIST.RT(2.5138, 7) = 0.0201

0.005 < p-value < 0.025

d) At the α = 0.05 level, we reject the null hypothesis and conclude that data are statistically significant.

e) Reject the null hypothesis. There is sufficient evidence to claim that the average number of flaked stone tools is higher.