The weights (in pounds) at birth of five randomly chosen baby Orca whales were found to...
The weights (in pounds) at birth of five randomly chosen baby
Orca whales were found to be:
425, 454, 380, 405, 426.
a.) Which graph would you create to show that this data comes from
a population with a Normal distribution?
b.) In this case, does the data come from a population with a Normal distribution? Yes or No? Justify your answer.
c.) Conduct an appropriate hypothesis test to show that the mean weight of baby Orca whales is less than 450 pounds. Use α = 0.01 as your significance level. Clearly label all steps of your hypothesis test.
Homework Answers
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The weights (in pounds) at birth of five randomly chosen baby
Orca whales were found to...
The weights at birth of five randomly chosen baby Orca whales were 425,454,380, 405, and 426...
The weights at birth of five randomly chosen baby Orca whales were 425,454,380, 405, and 426 pounds. Assume the distribution of weights is normally distributed. Find a 95% confidence interval for the mean weight of all baby Orca whales and report the margin of error. Round to the nearest tenth of a pound. Use the fact that the sample mean and sample standard deviation are 7=418 and s = 27.49. Question 18 1 pts Arandom sample of 950 adult television...
3. (4 points) Let X equal the number of pounds of butterfat produced by a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ, σ2-14...
3. (4 points) Let X equal the number of pounds of butterfat produced by a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ, σ2-1402). To test the null hypothesis Ho : μ-175 against the alternative hypothesis Ha : u 715, let the crtical region be defined by 668.94, where x is the sample mean of n 25 butterfat weights from 25 cows selected at random (a). What...
QUESTIONS 1-3 PLEASE. MUST: For questions 1 – 3 you must show the following: The conversion...
QUESTIONS 1-3 PLEASE. MUST:
For questions 1 – 3 you must show the
following:
The conversion of the x-value into the z-score (rounded
to two decimal places).
A sketch of the normal distribution with the z-score
located and the appropriate area shaded in.
The notation of the probability being asked for in terms
of z.
The probability by using the normal distribution table
and including the appropriate label on your final
answer.
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PLEASE ANSWER PARTS C AND D ONLY. A pumpkin farmer weighed a simple random sample of size n = 20 pumpkins, with these results: 9.6, 8.8, 5.1, 9.7, 9.1, 8.9, 8, 9.2, 2.7, 9.1, 8.5, 7.3, 9.3, 9.6, 4.1, 9.9, 7.6, 9, 7.2, 8.5 (a) Create a QQ plot of the weights. Do you think it is reasonable to assume that the population distribution is normal? Explain your answer. (b) Regardless of your answer to (a), use R to perform...
1. A pumpkin farmer weighed a simple random sample of size n = 20 pumpkins, with these results: 9...
1. A pumpkin farmer weighed a simple random sample of size n = 20 pumpkins, with these results: 9.6, 8.8, 5.1, 9.7, 9.1, 8.9, 8, 9.2, 2.7, 9.1, 8.5, 7.3, 9.3, 9.6, 4.1, 9.9, 7.6, 9, 7.2, 8.5 (a) Create a QQ plot of the weights. Do you think it is reasonable to assume that the population distribution is normal? Explain your answer. (b) Regardless of your answer to (a), use R to perform the bootstrap with 2000 resamplings to...
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6....
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.33 5.84 5.98 5.77 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.340. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 5.91 5.77 6.47 6.75...
In a certain management study, 15 randomly selected managers were found to spend a mean of...
In a certain management study, 15 randomly selected managers
were
found to spend a mean of 2.40 hours each day on paperwork with a
standard deviation of 1.30 hours.
Construct a 90% Confidence Interval for the mean time spent on
paperwork by all managers.
State the meaning of the interval in the context of the
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Use the given data to construct a confidence interval at the
requested level:
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5) Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a...
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote...
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution...
The weights at birth of five randomly chosen baby Orca whales were 425,454,380, 405, and 426 pounds. Assume the distribution of weights is normally distributed. Find a 95% confidence interval for the mean weight of all baby Orca whales and report the margin of error. Round to the nearest tenth of a pound. Use the fact that the sample mean and sample standard deviation are 7=418 and s = 27.49. Question 18 1 pts Arandom sample of 950 adult television...
3. (4 points) Let X equal the number of pounds of butterfat produced by a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ, σ2-1402). To test the null hypothesis Ho : μ-175 against the alternative hypothesis Ha : u 715, let the crtical region be defined by 668.94, where x is the sample mean of n 25 butterfat weights from 25 cows selected at random (a). What...
QUESTIONS 1-3 PLEASE. MUST:
For questions 1 – 3 you must show the
following:
The conversion of the x-value into the z-score (rounded
to two decimal places).
A sketch of the normal distribution with the z-score
located and the appropriate area shaded in.
The notation of the probability being asked for in terms
of z.
The probability by using the normal distribution table
and including the appropriate label on your final
answer.
Case Study Chapter 5 Elementary Statistics The National...
In a certain management study, 15 randomly selected managers
were
found to spend a mean of 2.40 hours each day on paperwork with a
standard deviation of 1.30 hours.
Construct a 90% Confidence Interval for the mean time spent on
paperwork by all managers.
State the meaning of the interval in the context of the
problem.
Use the given data to construct a confidence interval at the
requested level:
x = 125, n = 317, confidence level 95% (Hint: Refer...
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