Is this readable? I was hoping someone could help me figure out how to do this.

Question

Is this readable? I was hoping someone could help me figure out how to do this.

worksheet 04111 Problem 1. As educational researcher is anal szig the test scores for physis laught using two method. and a webbased method. Can he ente udr, the scores in the web baied self paced method are louery Pop lation variance Al circle which type of Two Sample Inference this problem represents: 1 Twa ears, independem populations, cand az utku nown and not assumed equal. 2. Two means independent populations, a anal known, 3.) Two ns, independent populations, a and on usknown but assumed equal, 4, Two means from two dependent populaio S. Two peopomi or standard deviation. Write down the null and the alternative hypotheses. Hr Identify which is the claim ch Identify Len-, Right Two-tailed best: D) what iscure) the critical value(s)?- (Show the dr calenlation irrelevati. E What is the formula for the Test Soatistic? Identiny the values for all facttes comprising the Test Sutistic, co What are the test tequirements? Show they are stisfied, or identify any assumptions that must be made What is the value of the Test Statistic? What is your conclusion? n

Explanation / Answer

Given that,
mean(x)=56
standard deviation , s1 =4.8989
number(n1)=60
y(mean)=83
standard deviation, s2 =5.83095
number(n2)=80
null, Ho: u1 = u2
alternate, H1: µ1 < u2
level of significance, a = 0.05
from standard normal table,left tailed z a/2 =1.645
since our test is left-tailed
reject Ho, if zo < -1.645
we use test statistic (z) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
zo=56-83/sqrt((23.99922/60)+(33.99998/80))
zo =-29.73
| zo | =29.73
critical value
the value of |z a| at los 0.05% is 1.645
we got |zo | =29.726 & | z a | =1.645
make decision
hence value of | zo | > | z a| and here we reject Ho
p-value: left tail - Ha : ( p < -29.73 ) = 0
hence value of p0.05 > 0,here we reject Ho

ANSWERS
---------------
null, Ho: u1 =u2
alternate, H1: µ1 < u2
test statistic: -29.73
critical value: -1.645
decision: reject Ho
p-value: 0

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