Quiz: 8.1-8.2 Quiz Review Suemit Que This Question: 1 pt I2 of 13 (4 complete Th

Question

Quiz: 8.1-8.2 Quiz Review Suemit Que This Question: 1 pt I2 of 13 (4 complete This Quiz: 13 pts possibl A salety engineer records the braking distances of two types of tires. Each randomly selected sample has 35 res The results of the tests are shown in the table Al a 10can the engineer support the claim that the mean braking distance is different for the tero types of tires? Assume the samples are randomly selected and that the samples ane independent Complete parts (a) through (e) Type A 41 feet Type B 43 feet The crtical valuels) islace Round to three decimal places as needed Use a comma to separate answers as needed) What is/are the rejection regionis)? B. z+2575 C. z-281 OF -1 645,21.645 OH.2575 z >25s G. -231 (c) Find the standardized test statetic Z for 1-p2 Zm] 1 (Round 10 three decinal places as needed i ick to select your answens 8

Explanation / Answer

Given that,
mean(x)=41
standard deviation , 1 =4.7
number(n1)=35
y(mean)=43
standard deviation, 2 =4.5
number(n2)=35
null, Ho: u1 = u2
alternate, H1: 1 != u2
level of significance, = 0.1
from standard normal table, two tailed z /2 =1.645
since our test is two-tailed
reject Ho, if zo < -1.645 OR if zo > 1.645
we use test statistic (z) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
zo=41-43/sqrt((22.09/35)+(20.25/35))
zo =-1.82
| zo | =1.82
critical value
the value of |z | at los 0.1% is 1.645
we got |zo | =1.818 & | z | =1.645
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -1.82 ) = 0.069
hence value of p0.1 > 0.069,here we reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: 1 != u2
zo < -1.645 OR if zo > 1.645
test statistic: -1.82
decision: reject Ho
p-value: 0.069

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