The number of entrees purchased in a single order at a Noodles
& Company restaurant has had a historical average of 1.7
entrees per order. On a particular Saturday afternoon, a random
sample of 48 Noodles orders had a mean number of entrees equal to
2.1 with a standard deviation equal to 1.01. At the 2 percent level
of significance, does this sample show that the average number of
entrees per order was greater than expected?
(a) Choose the correct null and alternative
hypotheses.
a | |
b | |
c |
(b-1) Calculate the t statistic.
(Round your answer to 2 decimal places.)
tcalc
(b-2) Find the p-value. (Round
your answer to 4 decimal places.)
p-value
(c) Choose the correct conclusion.
Because the p-value is greater than 0.02, we conclude that there is no evidence to indicate a significant increase in the average number of entrees per order. | |
Because the p-value is less than 0.02, we conclude that there is evidence to indicate a significant increase in the average number of entrees per order. |
Since its given
the average number of entrees per order was greater than expected?
H0: μ ≤ 1.7 vs. H1: μ > 1.7
option B
Solutionb:
t=xbar-mu/s/sqrt(n)
t=(2.1-1.7)/(1.01/sqrt(48)
t=2.743844
t=2.74
Solution-c:
df=n-1=48-1=47
p value i excel
=T.DIST.RT(2.74;47)
=0.004328473
p=0.0043
Solutiond:
p<alpha
p<0.02
Reject Ho.
Because the p-value is less than 0.02, we conclude that there is evidence to indicate a significant increase in the average number of entrees per order.
ANSWERS IN BOLD
Get Answers For Free
Most questions answered within 1 hours.