Please find the p value

V 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 the troughs, in inches, for a sample of n = 50. Complete parts (a) through (d). Click the icon to view the data table. 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. Ho: H = 8.46 Hy: u # 8.46 (Type integers or decimals.) Determine the test statistic. X The test statistic is - 6.16 . Trough Widths (Round to two decimal places as needed.) Find the p-value. Trough Widths (in inches) p-value = (Round to three decimal places as needed.) 8.316 8.336 8.321 8.381 8.352 8.404 8.351 8.366 8.476 8.425 8.472 8.381 8.482 8.405 8.412 8.426 8.384 8.463 8.495 8.442 8.429 8.419 8.487 8.421 8.485 8.417 8.483 8.424 8.464 8.466 8.462 8.441 8.431 8.454 8.408 8.418 8.403 8.407 8.322 8.427 8.392 8.451 8.405 8.444 8.417 8.422 8.422 8.492 8.402 8.419 Print Done