(a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (e.g. 98.76). i sus (b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76). i εμ (c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius. What sample size should be used? n = (d) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at 95% confidence. What sample size should be used? n =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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(a) Construct a 99% two-sided confidence
interval on the mean temperature. Round to
two decimal places (e.g. 98.76).
i
sus
(b) Construct a 95% lower-confidence bound
on the mean temperature. Round to two
decimal places (e.g. 98.76).
i
εμ
(c) Suppose that we wanted to be 95%
confident that the error in estimating the
mean temperature is less than 2 degrees
Celsius. What sample size should be used?
n =
(d) Suppose that we wanted the total width
of the two-sided confidence interval on mean
temperature to be 1.5 degrees Celsius at
95% confidence. What sample size should be
used?
n=
Transcribed Image Text:(a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (e.g. 98.76). i sus (b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76). i εμ (c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius. What sample size should be used? n = (d) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at 95% confidence. What sample size should be used? n=
Please use the accompanying Excel data set
or accompanying Text file data set when
completing the following exercise.
An article in the Journal of Agricultural Science
["The Use of Residual Maximum Likelihood
to Model Grain Quality Characteristics of
Wheat with Variety, Climatic and Nitrogen
Fertilizer Effects" (1997, Vol. 128, pp. 135-
142)] investigated means of wheat grain
crude protein content (CP) and Hagberg
falling number (HFN) surveyed in the UK.
The analysis used a variety of nitrogen
fertilizer applications (kg N/ha), temperature
(°C), and total monthly rainfall (mm). The
data shown below describe temperatures for
wheat grown at Harper Adams Agricultural
College between 1982 and 1993. The
temperatures measured in June were
obtained as follows:
14.1 13.7 12.2 12.3 14.8 14.7
16.0 13.8 12.9 12.6 14.8
Assume that the population has a normal
distribution and the standard deviation is
known to be o = 0.6.
(a) Construct a 99% two-sided confidence
interval on the mean temperature. Round to
Transcribed Image Text:Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135- 142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (°C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows: 14.1 13.7 12.2 12.3 14.8 14.7 16.0 13.8 12.9 12.6 14.8 Assume that the population has a normal distribution and the standard deviation is known to be o = 0.6. (a) Construct a 99% two-sided confidence interval on the mean temperature. Round to
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