Agricultural scientists are testing a new chicken feed to see whether it increases the number of eggs laid. The scientists divided a flock in half and gave half of the chickens the new feed, while the other half were given a regular feed. The eggs laid in a one-year period for a random sample of 10 chickens using the new feed and 10 chickens using the regular feed are recorded. Assume that the population standard deviation of number of eggs laid is 12 eggs per year for both groups and that the number of eggs laid per year is normally distributed. Let the chickens given the new feed be the first sample, and let the chickens given the regular feed be the second sample. The scientists conduct a two-mean hypothesis test at the 0.05 level of significance to test if there is evidence that the new feed increases the number of eggs laid. (a) H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test. New Feed Regular Feed 268 258 229 232 264 245 265 234 263 253 245 245 244 256 269 258 251 267 254 259 The above table shows the eggs laid in a one-year period for a random sample of 10 chickens using the new feed and 10chickens using the regular feed. (b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if there is evidence that the new feed increases the number of eggs laid. Identify the test statistic, z, and p-value from the calculator output. Round your test statistic to two decimal places and your p-value to three decimal places. Provide your answer below: test statistic = , p-value =
Agricultural scientists are testing a new chicken feed to see whether it increases the number of eggs laid. The scientists divided a flock in half and gave half of the chickens the new feed, while the other half were given a regular feed. The eggs laid in a one-year period for a random sample of 10 chickens using the new feed and 10 chickens using the regular feed are recorded. Assume that the population standard deviation of number of eggs laid is 12 eggs per year for both groups and that the number of eggs laid per year is
The scientists conduct a two-mean hypothesis test at the 0.05 level of significance to test if there is evidence that the new feed increases the number of eggs laid.
(a) H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test.
|
New Feed |
Regular Feed |
|
268 |
258 |
|
229 |
232 |
|
264 |
245 |
|
265 |
234 |
|
263 |
253 |
|
245 |
245 |
|
244 |
256 |
|
269 |
258 |
|
251 |
267 |
|
254 |
259 |
The above table shows the eggs laid in a one-year period for a random sample of 10 chickens using the new feed and 10chickens using the regular feed.
(b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if there is evidence that the new feed increases the number of eggs laid. Identify the test statistic, z, and p-value from the calculator output. Round your test statistic to two decimal places and your p-value to three decimal places.
Provide your answer below:
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