particularly the rising cost of gasoline that spiked at the onset
of the Russian invasion of Ukraine. For this project you will be
considering the type of gasoline purchased and the cost per gallon.
A simple random sample of 32 gasoline purchases was selected and
the data appears in the table on the next page. For “gas type”, R
represents Regular gas with an octane rating of 87, M represents
Mid-Grade gas with an octane rating of 89, P represents Premium gas
with an octane rating of 92, and D represents Diesel gas that is
restricted to use in diesel engines. The cost per gallon is rounded
to the nearest penny and the data recorded in dollars and
cents.
(a) Create a frequency table that lists the categories
of the variable along with the frequency of occurrence of each
category. Recall that there are four categories: Regular gas (R),
Mid-Grade gas (M), Premium gas (P), and Diesel gas
(D).
(b) It is hypothesized that the proportion of all
gas purchases that are Regular gasoline is 0.60, and of interest is
to test this hypothesis versus the alternative hypothesis that the
proportion of all gas purchases that are Regular gasoline is less
than 0.60. Write out these two hypotheses in statistical
notation.
(c) List the assumptions required to test the hypotheses
in part (b) and whether or not they are satisfied using the data
collected.
(d) Use the data in the table to test the
hypotheses in part (b) at significance level 𝞪 = .10. Complete the
test even if the assumptions are violated.
- 2022 Has Been A Year Marked By Increasing Inflation Particularly The Rising Cost Of Gasoline That Spiked At The Onset O 1 (12.37 KiB) Viewed 20 times