Answer Happy

3. A shoe manufacturer claims that
athletes can increase their vertical jump heights using the
manufacturer’s new Strength Shoes®. The vertical jump heights of
nine randomly selected athletes are measured. After the athletes
have used the Strength Shoes® for 8 months, their vertical jump
heights are measured again. The vertical jump heights (in inches)
for each athlete are shown in the table. At 5% level of
significance, is there enough evidence to support the
manufacturer’s claim?
Athlete
#1
#2
#3
#4
#5
#6
#7
#8
#9
Vertical jump height (before using shoes)
24
22
25
28
35
32
30
27
29
Vertical jump height (after using shoes)
26
25
32
29
33
29
35
33
28
Answer parts (a) through (h).
3(a). Determine the
Hypotheses: State the null and alternative
hypotheses in words.
3(c). Collect the Data. Enter values as
decimals or whole numbers.
x¯d =
sd = (Round to 2 decimal
places)
n =
α =
df =
3(d). Assess the Evidence:
Calculate the test statistic T.S. Round to 2
decimal places.
Attach your calculations, otherwise no credit.
3(e). Check your calculations.
Enter value of the test statistic, T.S.
3(f). Use the test statistic to find
the P-value. Round your answer to 3 decimal
places.
3(h). Interpret your decision in the
context of the problem.