For Exercises 1 through 25, perform each steps of the following 178 a. State the

Question

For Exercises 1 through 25, perform each steps of the following 178 a. State the hypotheses and identify the claim.- b. Find the critical value(s). c Compute the test value. d. Make the decision. e. Summarize the results. 91 61 122 32 20 21 30 28 28 20 19 15 41 24 24 16 38 30 16 16 36 19 15 15 19 15 25 25 18 14 17 19 19 15 23 17 20 22 21 20 17 Use diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified Source: New York Times Almanac. MoTt

Explanation / Answer

Given that,
population mean(u)=59593
standard deviation, =1500
sample mean, x =58800
number (n)=30
null, Ho: =59593
alternate, H1: <59593
level of significance, = 0.01
from standard normal table,left tailed z /2 =2.326
since our test is left-tailed
reject Ho, if zo < -2.326
we use test statistic (z) = x-u/(s.d/sqrt(n))
zo = 58800-59593/(1500/sqrt(30)
zo = -2.9
| zo | = 2.9
critical value
the value of |z | at los 1% is 2.326
we got |zo| =2.9 & | z | = 2.326
make decision
hence value of | zo | > | z | and here we reject Ho
p-value : left tail - ha : ( p < -2.9 ) = 0
hence value of p0.01 > 0, here we reject Ho
ANSWERS
---------------
null, Ho: =59593
alternate, H1: <59593
test statistic: -2.9
critical value: -2.326
decision: reject Ho
p-value: 0

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