Question

Agricultural scientists are testing a new chicken feed to determine whether it increases the number of eggs laid. The scientists divided a flock in half, and fed half of the chickens the new feed, while the chickens in the other half were fed with their regular feed. The following table shows the number of eggs laid in a one-year period for a random sample of 30 chickens using the new feed and 30 chickens using the regular feed. Assume that the population variance of the number of eggs laid per year is the same 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. At the 0.05 level of significance, is there evidence that the new feed increases the number of eggs laid? Perform the test using Excel. Find the test statistic, rounded to two decimal places, and the p-value, rounded to three decimal places.

New Feed   Regular Feed
249   244
258   240
244   249
226   226
248   239
235   246
248   256
237   256
246   240
252   257
247   251
237   251
274   240
247   235
257   246
245   243
250   215
261   258
249   235
251   244
262   255
229   252
252   253
233   257
241   254
258   239
256   235
245   240
268   237
267   256

Provide your answer below:

t=, p-value=

Answer 1

Given,

1. Two-Samples,  

2. Assume that the population variance is same for both group  (i.e. Equal Variances),

3. number of eggs laid per year is normally distributed.

Hypothesis,

Ho: Chickens laid the eggs are equal by both feed (New and Regular feed)

H1: New feed increases the number of eggs laid than Regular feed.

There for, Use Two Sample T-Test Assuming Equal Variances in Excel.

t-test statistic is, t = 1.47

From The Alternative hypothesis (H1) use one tail and

At the 0.05 level of significance the P-value is = 0.073