.5 (a) For a certain type of manufactured product, the weight is expected to be 350 gm, and the standard deviation is known to be 20 gm. The mean weight of 9 randomly selected items was 362 gm. Was there evidence of a change in weight, and if so at what level of significance? (b) The process was changed, but with the standard deviation remaining the same. Nine randomly selected items had weights (in grams) of 327, 350, 374, 359, 397, 367, 331, 368, 385. Is there now evidence that the mean weight has been increased? (c) For the data in part (b), would it be reasonable to suggest that the standard deviation has probably changed?

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.5
(a) For a certain type of manufactured product, the weight is expected to be 350 gm, and the
standard deviation is known to be 20 gm. The mean weight of 9 randomly selected items was
362 gm. Was there evidence of a change in weight, and if so at what level of significance?
(b) The process was changed, but with the standard deviation remaining the same. Nine
randomly selected items had weights (in grams) of
327, 350, 374, 359, 397, 367, 331, 368, 385.
Is there now evidence that the mean weight has been increased?
(c) For the data in part (b), would it be reasonable to suggest that the standard deviation has
probably changed?
Transcribed Image Text:.5 (a) For a certain type of manufactured product, the weight is expected to be 350 gm, and the standard deviation is known to be 20 gm. The mean weight of 9 randomly selected items was 362 gm. Was there evidence of a change in weight, and if so at what level of significance? (b) The process was changed, but with the standard deviation remaining the same. Nine randomly selected items had weights (in grams) of 327, 350, 374, 359, 397, 367, 331, 368, 385. Is there now evidence that the mean weight has been increased? (c) For the data in part (b), would it be reasonable to suggest that the standard deviation has probably changed?
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