Part 1:

A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?

State the decision rule for a 5 percent level of significance.(Round your answers to 3 decimal places.)

Saturday sales data ($) for ski hats

Saturday East Side Shop West Side Shop

1 581 597

2 437 789

3 647 643

4 529 546

5 401 527

Reject the null hypothesis ift_{calc (fill in blank)}t_calc> (fill in blank).

(c-1)Find the test statistict_calc .(Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

t_calc(fill in blank)

Part 2

The lifespan of xenon metal halide arc-discharge bulbs for aircraft landing lights is normally distributed with a mean of 2,600 hours and a standard deviation of 550 hours.

What is the p-value? (round your answer to 4 decimal places)

p-value (fill in blank)

Part 3

Nine homes are chosen at random from real estate listings in two suburban neighborhoods, and the square footage of each home is noted in the following table.

Size of Homes in Two Subdivisions

Subdivision Square Footage

Greenwood 2,433 2,521 2,730 2,552 2,822 2,809 2,559 2,814 2,846

Pinewood 2,863 2,793 2,772 2,707 2,538 2,812 2,736 2,542 3,532

Find the test statistict_calc.(A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

t_calc. (fill in blank)

Assume unequal variances tofind thep-value.(Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)

p-value (fill in blank)