Using traditional methods. it takes 9.3 hours to recede a basic driving license
ID: 3170429 • Letter: U
Question
Using traditional methods. it takes 9.3 hours to recede a basic driving license A new license training method using Computer Aided Instruction (CAI) has been proposed A researcher used the technique with 150 students and observed that they had a mean of 92 hours Assume the variance is known to be 64 A level; of significance of 0.02 will be used to determine if the technique performs differently than the traditional method Find the value of the lest statistic Round your answer to 2 decimal places.Explanation / Answer
Given that,
population mean(u)=93
standard deviation, =8
sample mean, x =92
number (n)=150
null, Ho: =93
alternate, H1: !=93
level of significance, = 0.02
from standard normal table, two tailed z /2 =2.326
since our test is two-tailed
reject Ho, if zo < -2.326 OR if zo > 2.326
we use test statistic (z) = x-u/(s.d/sqrt(n))
zo = 92-93/(8/sqrt(150)
zo = -1.53093
| zo | = 1.53093
critical value
the value of |z | at los 2% is 2.326
we got |zo| =1.53093 & | z | = 2.326
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value : two tailed ( double the one tail ) - ha : ( p != -1.53093 ) = 0.12579
hence value of p0.02 < 0.12579, here we do not reject Ho
ANSWERS
---------------
null, Ho: =93
alternate, H1: !=93
test statistic: -1.53093
critical value: -2.326 , 2.326
decision: do not reject Ho
p-value: 0.12579
no signifiance found b/w traditional method
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.