We (u 4. (2 pts.) Suppose you conduct an experiment with 20 subjects and the tob

Question

We (u 4. (2 pts.) Suppose you conduct an experiment with 20 subjects and the tobe turns ount 0.69, which is not statisticaly significant. What is the correct way to report your res Peject Ho. to be APA format? 5. (8 total pts.) Using the following data, compute the f-statistic. Show each step of your work Use a known population mean of 20, a one-tailed test in the upper tail, and -0.05- 22 19 23 26 18 2221 31 30 25 20 24 25 23 (1 pt.) Write your hypotheses. a. b. (I pt.) Calculate the mean. c. (I pt.) Calculate the estimated population variance.

Explanation / Answer

5.

Given that,

population mean(u)=20

sample mean, x =23.5

standard deviation, s =3.757

number (n)=14

null, Ho: =20

alternate, H1: >20

level of significance, = 0.05

from standard normal table,right tailed t /2 =1.771

since our test is right-tailed

reject Ho, if to > 1.771

we use test statistic (t) = x-u/(s.d/sqrt(n))

to =23.5-20/(3.757/sqrt(14))

to =3.486

| to | =3.486

critical value

the value of |t | with n-1 = 13 d.f is 1.771

we got |to| =3.486 & | t | =1.771

make decision

hence value of | to | > | t | and here we reject Ho

p-value :right tail - Ha : ( p > 3.4857 ) = 0.00201

hence value of p0.05 > 0.00201,here we reject Ho

ANSWERS

---------------

a.

null, Ho: =20

alternate, H1: >20

b.

given data,

Mean of the data=(22+19+23+26+18+22+21+31+30+25+20+24+25+23)/14

= 23.5

c.

variance = (standard deviation)^2 = (3.757)^2

= 14.1150

d.

stanadard error = sd/ sqrt(n)

where,

sd = standard deviation

n = sample size

standard error = ( 3.757/ sqrt ( 14) )

= 1.004

e.

test statistic: 3.486

f.

critical value: 1.771

g.

decision: reject Ho

p-value: 0.00201

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