A.) What is the P-value for the following scenario:
To compare the amounts spent in the first three months by
clients of two meal-replacement diets, a researcher randomly
selects 20 clients of each diet. The mean amount spent
for Diet A is $643. Assume the population standard deviation
is $89. The mean amount spend for diet B is $588.
Assume the population standard deviation is $75. At alpha=
0.01, can the researcher support the claim that the mean
amount spent in the first three months by clients of Diet A is
greater than the mean amount spent on Diet B?
As in Chapter 7, answers need to be correct to three decimal
places beyond the first non-zero digit.
B.) What is the P-value for the following scenario:
The tensile strength of a metal is a measure of its resistance
to tearing when it is pulled lengthwise. A new type of
experimental steel treatment is said to change tensile
strength. Based on the data below, is that claim
supported?
Tensile strengths (in Newtons per mm) for experimental
method:
391 383 333 378
368 401 339 376
366 348
Tensile strengths for conventional method:
362 382 368 398
381 391 400 410
396 411 385 385
395
As in Chapter 7, answers need to be correct to three decimal
places beyond the first non-zero digit.
C.) What is the P-value for the following scenario:
The mean repair costs for two washing machine models (A and
B) are said to be equal. To test this claim, you
research the repair costs. The mean repair costs for
24 Model A machines is $208. Assume the population SD is
$18. For 26 Model B's the mean repair cost was
$221. Assume the population SD is $22. At
$$alpha=0.05, can you reject the claim?
As in Chapter 7, answers need to be correct to three decimal
places beyond the first non-zero digit.