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?

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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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