Question
In: Statistics and Probability
to evaluate the effectiveness of a new type of plant food developed for tomatoes, an experiment...
to evaluate the effectiveness of a new type of plant food developed for tomatoes, an experiment was conducted in which a random sample of 42 seedlings was obtained from a large greenhouse having thousands of seedlings. Each of the 42 plants received 72 grams of this new type of plant food each week for 4 weeks. The number of tomatoes produced by each plant was recorded yielding the following results: X bar=31.35 s=3.865 (a) Assuming that the seedlings chosen are taken from a population which is normally distributed, determine a 95% confidence interval estimate for the average number of tomatoes that would have been produced by all the seedlings in the greenhouse if they have recieved 72 grams of thee new plant food, once a week for 4 weeks. Use three decimals. Lower Bound : Upper Bound : (b) The greenhouse is currently using a plant food called "Supr-Grow". The average number of tomatoes produced by seedlings in the greenhouse with "Supr-Grow" is 32. Based on the interval in (a), should the greenhouse switch to the new plant food? (YES or NO) (c) A researcher has started with a new sample and a given degree of confidence that the average number of tomatoes the seedlings produced on the new plant food is between "33.00628 and 35.89372". Suppose the sample size and standard deviation are the same as given above. What alpha did the researcher use in the construction of this statement? (Input your answer as a decimal)
Solutions
orchestra answered 1 year agoRelated Solutions
to evaluate the effectiveness of a new type of plant food developed for tomatoes, an experiment...
to evaluate the effectiveness of a new type of plant food
developed for tomatoes, an experiment was conducted in which a
random sample of 42 seedlings was obtained from a large greenhouse
having thousands of seedlings. Each of the 42 plants received 72
grams of this new type of plant food each week for 4 weeks. The
number of tomatoes produced by each plant was recorded yielding the
following results: X bar=31.35 s=3.865 (a) Assuming that the
seedlings chosen are...
To evaluate the effectiveness of a new type of plant food developed for tomatoes, an experiment...
To evaluate the effectiveness of a new type of plant food
developed for tomatoes, an experiment was conducted in which a
random sample of 56 seedlings was obtained from a large greenhouse
having thousands of seedlings. Each of the 56 plants received 80.5
grams of this new type of plant food each week for 9 weeks. The
number of tomatoes produced by each plant was recorded yielding the
following results: ?bar =31.08 . ?=4.325
A researcher has started with a...
In order to evaluate the effectiveness of a new type of plant food that was developed...
In order to evaluate the effectiveness of a new type of plant
food that was developed for tomatoes, a study was conducted in
which a random sample of n = 68 plants received a certain
amount of this new type of plant food each week for 14 weeks. The
variable of interest is the number of tomatoes produced by each
plant in the sample. The table below reports the descriptive
statistics for this study:
Descriptive statistics for the tomato food...
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3. An experiment was conducted to evaluate the effectiveness of a treatment for tapeworm in the...
3. An experiment was conducted to evaluate the effectiveness of
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injected with the drug and the remaining twelve were left
untreated. After 6 months, the lambs were slaughtered and the
following worm counts were recorded. Assume the counts are
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Drug-treatedsheep 18, 43, 28,...
An experiment was conducted to evaluate the effectiveness of a treatment for tapeworm in the stomachs...
An experiment was conducted to evaluate the effectiveness of a
treatment for tapeworm in the stomachs of sheep. A random sample of
24 worm-infected lambs of approximately the same age and health was
randomly divided into two groups. Twelve of the lambs were injected
with the drug and the remaining twelve were left untreated. After 6
months, the lambs were slaughtered and the following worm counts
were recorded. Assume the counts are approximately normally
distributed.
Drug-treatedsheep 18 43 28 50...
An experiment was conducted to evaluate the effectiveness of a treatment for tapeworm in the stomachs...
An experiment was conducted to evaluate the effectiveness of a
treatment for tapeworm in the stomachs of sheep. A random sample of
24 worm-infected lambs of approximately the same age and health was
randomly divided into two groups. Twelve of the lambs were injected
with the drug and the remaining twelve were left untreated. After 6
months, the lambs were slaughtered and the following worm counts
were recorded. Assume the counts are approximately normally
distributed.
Drug-treated sheep 18, 43, 28,...
An experiment was conducted for better understanding of the effectiveness of a particular type of drug...
An experiment was conducted for better understanding of the
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Researchers at a food company are interested in how a new ketchup made from green tomatoes...
Researchers at a food company are interested in how a new
ketchup made from green tomatoes (and green in color) will compare
to their traditional red ketchup. They are worried that the green
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14
15
16
18
16
16...
In an experiment to test the effectiveness of a new sleeping aid, a sample of 12...
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