A company that manufactures steel troughs requires that the width of the trough be between 8.31 inches and 8.61 inches. The data in the accompanying table contains the widths of thetroughs, ininches, for a sample of n =50. Complete parts(a) through(d).

a.At the 0.01 level of significance, is there evidence that the mean width of the troughs is different from 8.46 inches?

State the null and alternative hypotheses

b.Determine the test statistic

I only need help for part b and that is on how to determine the test statistic.

Data table

8.315

8.346

8.318

8.381

8.342

8.404

8.353

8.378

8.475

8.427

8.481

8.388

8.489

8.396

8.412

8.419

8.379

8.463

8.498

8.449

8.443

8.411

8.487

8.421

8.486

8.416

8.472

8.435

8.464

8.458

8.462

8.451

8.433

8.464

8.405

8.421

8.406

8.413

8.325

8.412

8.391

8.448

8.409

8.444

8.415

8.421

8.421

8.497

8.413

8.415