(a) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the sample size does not contain any outliers. The normal probability plot and boxplot are shown below. Are the conditions for constructing a confidence interval about the mean satisfied? OA. No, the population is not normal. OB. No, neither condition is met. O C. No, there are outliers. O D. Yes, both conditions are met. 100- 80 Days 250 (b) Construct a 95% confidence interval for the mean length of the growing season in the region. The lower bound is The upper bound is (Round to two decimal places as needed.) (c) What can be done to decrease the margin of error, assuming the researcher does not have access to more data? 130 D Days 230 G

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random sample, he obtains the following data, which
represent the number of days of the growing season.
160
157
144
139
Click the icon to view the table of areas under the t-distribution.
169
186
A. The researcher could increase the sample mean.
B. The researcher could increase the level of confidence.
C. The researcher could decrease the level of confidence.
D. The researcher could decrease the sample standard deviation.
Percents
100-
(a) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the sample size does not contain any outliers. The normal probability
plot and boxplot are shown below.
Are the conditions for constructing a confidence interval about the mean satisfied?
O A. No, the population is not normal.
B. No, neither condition is met.
C. No, there are outliers.
D. Yes, both conditions are met.
80
Days
250
(b) Construct a 95% confidence interval for the mean length of the growing season in the region.
The lower bound is
The upper bound is
(Round to two decimal places as needed.)
(c) What can be done to decrease the margin of error, assuming the researcher does not have access to more data?
193
183
166
152
130
Days
230
Transcribed Image Text:An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random sample, he obtains the following data, which represent the number of days of the growing season. 160 157 144 139 Click the icon to view the table of areas under the t-distribution. 169 186 A. The researcher could increase the sample mean. B. The researcher could increase the level of confidence. C. The researcher could decrease the level of confidence. D. The researcher could decrease the sample standard deviation. Percents 100- (a) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the sample size does not contain any outliers. The normal probability plot and boxplot are shown below. Are the conditions for constructing a confidence interval about the mean satisfied? O A. No, the population is not normal. B. No, neither condition is met. C. No, there are outliers. D. Yes, both conditions are met. 80 Days 250 (b) Construct a 95% confidence interval for the mean length of the growing season in the region. The lower bound is The upper bound is (Round to two decimal places as needed.) (c) What can be done to decrease the margin of error, assuming the researcher does not have access to more data? 193 183 166 152 130 Days 230
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