i need help with question 12,13 can someone help me A manufacture guarantees tha
ID: 3178032 • Letter: I
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i need help with question 12,13 can someone help me
A manufacture guarantees that its new drug reduces systolic blood pressure (SBP in millimeters of mercury). The test results are shown in the table below. At significance level of 0.05, can you reject the manufacture's claim? Find critical F-values for right- and left-tailed test using the indicated level of significance alpha and degrees of freedom dfN and dfD: (a) alpha = 0.05, dfN = 9, dfD = 16 (b) alpha = 0.01, dfN = 5, dfD = 11; (c) alpha = 0.025, dfN = 7, dfD = 5. A manager is designing a system that is intended to decrease the standard deviation of the customers waiting for service. der old system, a random sample of customers had the standard of deviation of 20min. Under new a random sample of 21 customers had the standard deviation At alpha = 0.10, there system, enough evidence to convince the manager to switch to the new system? Assume both populations are normally distributed. A study of 150 randomly selected occupants in passenger cars and 200 randomly selected occupants in pickup trucks shows that 86% of occupants in passenger cars and 74% of occupants in pickup trucks wear seat belts. At alpha 0.10, can you reject the claim that the proportion of occupants who wear seat belts is the same for passenger cars and pickup trucks?Explanation / Answer
Q13.
Given that,
sample 1
s1^2=400, n1 =10
sample 2
s2^2 =256, n2 =21
null, Ho: ^2 = ^2
alternate, H1: ^2 != ^2
level of significance, = 0.1
from standard normal table, two tailed f /2 =2.393
since our test is two-tailed
reject Ho, if F o < -2.393 OR if F o > 2.393
we use test statistic fo = s1^1/ s2^2 =400/256 = 1.56
| fo | =1.56
critical value
the value of |f | at los 0.1 with d.f f(n1-1,n2-1)=f(9,20) is 2.393
we got |fo| =1.563 & | f | =2.393
make decision
hence value of |fo | < | f | and here we do not reject Ho
ANSWERS
---------------
null, Ho: ^2 = ^2
alternate, H1: ^2 != ^2
test statistic: 1.56
critical value: -2.393 , 2.393
decision: do not reject Ho
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