Small, energy-efficient, Internet-centric, new computers are increasingly gaining popularity (New York Times, July 20, 2008). These computers, often called netbooks, have scant onboard memory and are intended largely for surfing websites and checking e-mail. Some of the biggest companies are wary of the new breed of computers because their low price could threaten PC makers' already thin profit margins. An analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350. She examines six popular brands of these small computers and records their retail prices as: Use Table 2. $322 $269 $373 $412 $299 $389 a. What assumption regarding the distribution of the price of small computers is necessary to test the analyst's claim? Assume that the price of small computers is (Click to select) distributed. Normally or not necessarily normally? b. Select the appropriate null and alternative hypotheses to test the analyst's claim. H0: = 350; HA: 350 H0: 350; HA: > 350 H0: 350; HA: < 350 c. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.) Test statistic d-1. At the 5% significance level, what is (are) the critical value(s)? (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value(s) d-2. Should the larger computer companies be concerned? Yes, since we reject H0. Yes, since we do not reject H0. No, since we reject H0. No, since we do not reject H0