Significance Levels H1 0.10 0.05 0.02 0.01 Left-tailed –1.282 –1.645 –2.054 –2.3
ID: 3359420 • Letter: S
Question
Significance Levels
H1 0.10 0.05 0.02 0.01
Left-tailed –1.282 –1.645 –2.054 –2.326
Right-tailed 1.282 1.645 2.054 2.326
Two-tailed ±1.645 ±1.96 ±2.326 ±2.576
3. Average Delivery Time: Prior to your new advertising campaign you average pizza delivery time was 23 minutes. But now you feel that your average delivery time may have increased with all the new business you are receiving. So you take a random sample of 30 deliveries that occurred after the ad campaign and find a sample mean of 25 minutes with a standard deviation of 4 minutes.
What is the null and alternative hypothesis?
Should a two-tailed, right-tailed, or left-tailed test be performed?
Calculate the test statistic (Use T-Test on the TI Calculator and remember the test statistic is t)
Round 3 decimals
Look up the critical t-values for = 0.05 (See T-table)
Draw a normal curve that depicts the critical region. Label your test statistic and the critical value on the diagram.
Is the test statistic in the critical region?
What is the result of the test? (Reject H0 or Do Not Reject H0)
State the conclusion.
Now that you found evidence that your average delivery time has increased what do you think should be your next step?
Explanation / Answer
Given that,
population mean(u)=23
sample mean, x =25
standard deviation, s =4
number (n)=30
null, Ho: =23
alternate, H1: >23
level of significance, = 0.05
from standard normal table,right tailed t /2 =1.699
since our test is right-tailed
reject Ho, if to > 1.699
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =25-23/(4/sqrt(30))
to =2.7386
| to | =2.7386
critical value
the value of |t | with n-1 = 29 d.f is 1.699
we got |to| =2.7386 & | t | =1.699
make decision
hence value of | to | > | t | and here we reject Ho
p-value :right tail - Ha : ( p > 2.7386 ) = 0.00522
hence value of p0.05 > 0.00522,here we reject Ho
ANSWERS
---------------
null, Ho: =23
alternate, average delivery time may have increased with all the new business receiving H1: >23
test statistic: 2.7386
critical value: 1.699
decision: reject Ho
p-value: 0.00522
we have evidence to support the claim that average delivery time may have increased
with all the new business receiving
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