In: Statistics and Probability

Researchers have been studying the effect of diet on a certain species of rabbit. After making a change in diet, the researchers record the weight gained by a random sample of rabbits. The data is displayed below.

Weight gained (grams): 66, 54.7, 61.8, 61.7, 64.9, 60.3, 64.8, 59.1, 67.5

Checksum: 560.8

Resample the sample (bootstrap) with 1000 iterations to create a 90% confidence interval for the population mean weight gain.

Result: With the new diet, the researchers can be 90% confident that the mean weight gain for all rabbits of this species is between [ ] and [ ] grams.

*Need help on what calculation to input in calculator

Researchers studying the effect of diet on growth would like to
know if a vegetarian diet affects the height of a child. Twelve
students are randomly selected that are all 6-years old. The
average height of these kids is 42.5 inches with a standard
deviation of 3.8 inches. The average height of all 6-year old kids
is found to be 45.75 inches. Conduct a hypothesis test to determine
if there is overwhelming evidence at alpha = .05 that 6-year old...

Suppose we are studying the effect of diet on height of
children, and we have two diets to compare: diet A (a well-balanced
diet with lots of broccoli) and diet B (a diet rich in potato chips
and candy bars). We wish to find the diet that helps children grow
faster. We have decided to use 20 children in the experiment, and
we are contemplating the following methods for matching children
with diets: i. Let them choose. ii. Take the...

A researcher is interested in studying the effect that the
amount of fat in the diet and amount of exercise has on the mental
acuity of middle-aged women. The researcher used three different
treatment levels for the diet and two levels for the exercise. The
results of the acuity test for the subjects in the different
treatment levels are shown below.
Diet
Exercise
<30% fat
30% - 60% fat
>60% fat
<60 minutes
4
3
2
4
1
2
2...

A researcher is interested in studying the effect that the
amount of fat in the diet and amount of exercise has on the mental
acuity of middle-aged women. The researcher used three different
treatment levels for the diet and two levels for the exercise. The
results of the acuity test for the subjects in the different
treatment levels are shown below.
Diet
Exercise
<30% fat
30% - 60% fat
>60% fat
<60 minutes
4
3
2
4
1
2
2...

1. A researcher studying the lifespan of a certain species of
bacteria. A preliminary sample of 35 bacteria reveals a sample mean
of ¯ x = 64 x ¯ = 64 hours with a standard deviation of s = 5.6 s =
5.6 hours. He would like to estimate the mean lifespan for this
species of bacteria to within a margin of error of 0.5 hours at a
98% level of confidence. What sample size should you gather to
achieve...

Researchers have been studying the association between
cigarette smoking and caffeine intake and
Parkinson's Disease for more than 40 years. The results
of a study by Checkoway et al. (2002) follow:
Ever having smoked cigarettes resulted with an odds
ratio (OR) = 0.5 (95% confidence interval (CI):
0.4, 0.8).
The OR for current smokers was OR = 0.3 (95% CI: 0.1,
0.7).
Among ex-smokers the OR = 0.6 (95% CI: 0.4,
0.9).
Interpret the three ORs (in your own
words).

Researchers at some of the nation’s leading universities have
been studying financial literacy for years. Results from their work
provide interesting insights into the financial capabilities of the
average American. Their findings are a bit sad. The average
American is, well, basically a “C” student when it comes to
financial issues— and we are talking about adults! What follows are
a number of questions that these researchers asked survey
participants to think about. See if you can beat the national...

Researchers are interested in the effect of a certain nutrient
on the growth rate of plant seedlings. Using a hyproponics growth
procedure that used water containing the nutrient, they planted six
tomato plants and recorded the heights of each plant 14 days after
gemination. Those heights, measured in millimeters, were as follows
: 55.5, 60.3, 60.6, 62.1, 65.5, 69.2. Test the claim that the mean
tomato plants’heights is different than 65 millimeters. Assume the
random sample assumption holds. Use α...

Researchers are interested in the effect of a certain nutrient on
the growth rate of plant seedlings. Using a hydroponics grow
procedure that utilized water containing the nutrient, they planted
six tomato plants and recorded the heights of each plant 14 days
after germination. Those heights, measured in millimeters, were as
follows: 54.7 58.8 60.5 63.3 64.8 68.1 a. Find a point estimate of
the population mean height of this variety of seedling 14 days
after germination. b. Given a...

Researchers are interested in the effect of a certain nutrient
on the growth rate of plant seedlings. Using a hydroponics grow
procedure that utilized water containing the nutrient, they
planted six tomato plants and recorded the heights of each plant 14
days after germination. Those heights, measured in millimeters,
were 55.7, 60.6, 61.3, 62.7, 65.7, and 71.9. Complete parts 1
through 4 below.
1. Using technology, find the 95% confidence interval
for the population mean mu.
(____,_____) Round to one...

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