3. Following are prices, in dollars, of a random sample of ten refrigerators: XXXXXXXXXX XXXXXXXXXX (Note that this data is not skewed and it is reasonable to perform a hypothesis test.) (a) Find the...

3. Following are prices, in dollars, of a random sample of ten refrigerators:
314 377 330 285 319 274 332 350 299 306
(Note that this data is not skewed and it is reasonable to perform a hypothesis test.)
(a) Find the sample mean, x, for this data set.
(b) Find the sample variance, s2, for this data set and use it to find the sample standard
deviation, s, for this data set.
(c) A consumer organization reports that the mean price of refrigerators is greater than
$300. Do the data provide convincing evidence of this claim? Use the α = 0.01 level of
significance to conduct this hypothesis test.