N R CODE Sixteen batches of the plastic were made, and from each batch one test item was molded. Each test item was randomly assigned to one of the four predetermined time levels, and the hardness was measured after the assigned elapsed time. In this data, X is the elapsed time in hours and Y is hardness in Brinell units. Assume that SLR model is appropriate. a. Estimate the change in the mean hardness when the elapsed time increases by one hour. Use a 99 percent confidence interval. Interpret our interval estimate. b. The plastic manufacturer has stated that the mean hardness should increase by 2 Brinell units per hour. Conduct a two-sided test to decide whether this standard is being satisfied; use a = 0.01. State the alternatives, decision rule, and conclusion. What is the P-value of the test?
I need help with b) only.
IN R CODE
Sixteen batches of the plastic were made, and from each batch one test item was molded. Each test item was
randomly assigned to one of the four predetermined time levels, and the hardness was measured after the assigned elapsed time. In this data, X is the elapsed time in hours and Y is hardness in Brinell units. Assume that SLR model is appropriate.
a. Estimate the change in the mean hardness when the elapsed time increases by one hour. Use a 99 percent confidence interval. Interpret our interval estimate.
b. The plastic manufacturer has stated that the mean hardness should increase by 2 Brinell units per hour. Conduct a two-sided test to decide whether this standard is being satisfied; use a = 0.01. State the alternatives, decision rule,
and conclusion. What is the P-value of the test?
Data:
|
Y |
X |
|
199 |
16 |
|
205 |
16 |
|
196 |
16 |
|
200 |
16 |
|
218 |
24 |
|
220 |
24 |
|
215 |
24 |
|
223 |
24 |
|
237 |
32 |
|
234 |
32 |
|
235 |
32 |
|
230 |
32 |
|
250 |
40 |
|
248 |
40 |
|
253 |
40 |
|
246 |
40 |
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