Question

. Computers in some vehicles calculate various quantities related to performance. One of these is fuel efficiency, or gas mileage, usually expresses as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records:

41.5 |
50.7 |
36.6 |
37.3 |
34.2 |
45.0 |
48.0 |
43.2 |
47.7 |
42.2 |

43.2 |
44.6 |
48.4 |
46.4 |
46.8 |
39.9 |
37.3 |
43.5 |
44.3 |
43.3 |

Find a 95% confidence interval for *μ*, the mean miles
per gallon for this vehicle.

Answer #1

Computers in some vehicles calculate various quantities related
to performance. One of these is the fuel efficiency, or gas
mileage, usually expressed as miles per gallon (mpg). A particular
vehicle equipped in this way is advertised as having a fuel
efficiency of 41 mpg. A woman who owns one of these vehicles
believes she is getting even higher fuel efficiency, so she
recorded the mpg each time the gas tank was filled, and then reset
the computer. For 18 recordings,...

Computers in some vehicles calculate various quantities related
to performance. One of these is the fuel efficiency, or gas
mileage, usually expressed as miles per gallon (mpg). For one
vehicle equipped in this way, the miles per gallon were recorded
each time the gas tank was filled, and the computer was then reset.
In addition to the computer's calculations of miles per gallon, the
driver also recorded the miles per gallon by dividing the miles
driven by the number of...

A gardener plants 300 sunflower seeds (of a brand called
KwikGrow) and, after 2 weeks, measures the seedlings’ heights (in
mm). These height are: 38.6 39.1 50.4 49.2 46.2 0 43.1 49.6 16.1
17.9 11.6 50.2 36.5 50.6 40.3 36.3 14.3 40.8 12.1 43.7 47.2 49.9
37.9 49.1 53 47.7 13.8 38.3 49.2 50.6 49.6 52.3 19.8 12.8 46.9 35.3
38.7 39.3 12.4 51.9 36.9 20.8 51.7 44.3 49.1 10.7 14.9 48.2 14.8 38
41.4 39.4 11.9 13.8 0 35.1...

A gardener plants 300 sunflower seeds (of a brand called
KwikGrow) and, after 2 weeks, measures the seedlings’ heights (in
mm). These heights are recorded in the file Sunflower.csv. He is
interested in testing whether the mean height of sunflowers grown
from KwikGrow seeds is greater than 33 mm two weeks after planting.
He decides to conduct a hypothesis test by assuming that the
sampling distribution of the sample mean has a normal distribution.
For the purposes of this question,...

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