MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function , and fertility. The introduction of selenium supplements to dairy cows is justified when pastures have low selenium levels. Authors of a research paper supplied the following data on milk selenium concentration (mg/L) for a sample of cows given a selenium supplement (the treatment group) and a control sample given no supplement, both initially and after a 9-day period.
Initial Measurement
| Treatment | Control |
|---|---|
| 11.3 | 9.1 |
| 9.7 | 8.7 |
| 10.1 | 9.7 |
| 8.5 | 10.8 |
| 10.4 | 10.9 |
| 10.7 | 10.6 |
| 11.8 | 10.1 |
| 9.8 | 12.3 |
| 10.6 | 8.8 |
| 10.4 | 10.4 |
| 10.2 | 10.9 |
| 11.3 | 10.4 |
| 9.2 | 11.6 |
| 10.7 | 10.9 |
| 10.8 | |
| 8.2 |
After 9 Days
| Treatment | Control |
|---|---|
| 138.3 | 9.4 |
| 104 | 8.8 |
| 96.4 | 8.8 |
| 89 | 10.1 |
| 88 | 9.7 |
| 103.8 | 8.7 |
| 147.3 | 10.3 |
| 97.1 | 12.3 |
| 172.6 | 9.4 |
| 146.3 | 9.5 |
| 99 | 8.3 |
| 122.3 | 8.9 |
| 103 | 12.5 |
| 117.8 | 9.1 |
| 121.5 | |
| 93 |
(a)
Use the given data for the treatment group to determine if there is sufficient evidence to conclude that the mean selenium concentration is greater after 9 days of the selenium supplement. (Use ? = 0.05. Use ?d = ?initial − ?9-day.)
Find the test statistic. (Round your answer to two decimal places.)
t =
Find the df.
df =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
(b)
Are the data for the cows in the control group (no selenium supplement) consistent with the hypothesis of no significant change in mean selenium concentration over the 9-day period? (Use ? = 0.05. Use ?d = ?initial − ?9-day.)
Find the test statistic. (Round your answer to two decimal places.)
t =
Find the df.
df =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
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