A scientist took the temperatures of a randomly selected group of elephants. The table includes the data collected in the experiment. Estimate the mean temperature. Complete parts a through e below. a) Check the conditions for creating a t-interval. Which condition(s) is(are) met? Select all that apply. A. 10% Condition B. Nearly Normal Condition C. Randomization Condition b) Find a 99% confidence interval for the mean body temperature. The 99% confidence interval for the mean body temperature is _%,___%. c) Explain the meaning of the interval. Choose the correct answer below. A. There is 99% confidence, based on the data, that the body temperature for an adult falls in the interval. B. There is 99% confidence, based on the data, that the interval contains the mean body temperature. C. There is 99% confidence, based on the data, that the body temperature for all adults falls in the interval. D. There is 99% confidence, based on the data, that the mean body temperature will always fall in the interval. d) Explain what "99% confidence" means in this context. Choose the correct answer below. A. 99% of all elephants have body temperatures that fall in the interval. B. 99% of all elephants sampled have body temperatures that fall in the interval. C. 99% of all such random samples will produce intervals containing the true mean temperature. D. 99% of all samples of size 52 have a mean body temperature that is in the interval. e) A temperature of 98.6°F is commonly assumed to be "normal." Do these data suggest otherwise? Explain.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 54E: Conditional probability If 40 of the population have completed college, and 85 of college graduates...

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Question

A scientist took the temperatures of a randomly selected group of elephants. The table includes the data collected in the experiment. Estimate the mean temperature. Complete parts a through e below.

a) Check the conditions for creating a t-interval. Which condition(s) is(are) met? Select all that apply.

10% Condition

Nearly Normal Condition

Randomization Condition

b) Find a

99%

confidence interval for the mean body temperature.

The

99%

confidence interval for the mean body temperature is _____%,_______%.

c) Explain the meaning of the interval. Choose the correct answer below.

There is 99% confidence, based on the data, that the body temperature for an adult falls in the interval.

There is 99% confidence, based on the data, that the interval contains the mean body temperature.

There is 99% confidence, based on the data, that the body temperature for all adults falls in the interval.

There is 99% confidence, based on the data, that the mean body temperature will always fall in the interval.

d) Explain what

"99%

confidence" means in this context. Choose the correct answer below.

99% of all elephants have body temperatures that fall in the interval.

99% of all elephants sampled have body temperatures that fall in the interval.

99% of all such random samples will produce intervals containing the true mean temperature.

99% of all samples of size 52 have a mean body temperature that is in the interval.

e) A temperature of 98.6°F is commonly assumed to be "normal." Do these data suggest otherwise? Explain.

Twin Births
Twin Births 1995-1997 (In Thousands)
Term or
Level of
Preterm with Preterm without
Total
Prenatal Care
Intensive
procedures
14
post-term
22
procedures
52
16
46
42
67
155
Adequate
Inadequate
14
14
40
68
76
70
129
275
Total
Print
Done

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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