μ H, :0 H :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ D=0 OS (c) Find the value of the test statistic. (Round to three or more decimal places.) O< Find the critical value at the 0.05 level of significance. (Round to three or more decimal (d) places.) (e) At the 0.05 level, can the consumer group conclude that the mean tread wear of Brand 1 exceeds that of Brand 2? OYes ONo

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Chapter1: Starting With Matlab
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A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Though the two brands have
been comparable in the past, some technological advances were recently made in the Brand 2 manufacturing process, and the
consumer group is testing to see if Brand 2 will outperform Brand 1. Tread wear can vary considerably depending on the type of car,
and the group is trying to eliminate this effect by installing the two brands on the same 10 cars, chosen at random. In particular, each
car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and
the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear
(in inches) is recorded, as shown in the table below.
Car
1
3
4
7
8.
9
10
Brand 1
0.59
0.34
0.53
0.35
0.40
0.50
0.48
0.58
0.56
0.53
Brand 2
0.61
0.45
0.33
0.41
0.32
0.37
0.41
0.44
0.57
0.48
Difference
(Brand 1 - Brand 2)
-0.02 -0.11 0.20 -0.06 0.08
0.13
0.07
0.14
-0.01
-0.01 0.05
Send data to calculator
Based on these data. can he consuimer aroiun conclude. at the 0 05 level of significance that the mean troad woar of
nnd 1
Transcribed Image Text:A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Though the two brands have been comparable in the past, some technological advances were recently made in the Brand 2 manufacturing process, and the consumer group is testing to see if Brand 2 will outperform Brand 1. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same 10 cars, chosen at random. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. Car 1 3 4 7 8. 9 10 Brand 1 0.59 0.34 0.53 0.35 0.40 0.50 0.48 0.58 0.56 0.53 Brand 2 0.61 0.45 0.33 0.41 0.32 0.37 0.41 0.44 0.57 0.48 Difference (Brand 1 - Brand 2) -0.02 -0.11 0.20 -0.06 0.08 0.13 0.07 0.14 -0.01 -0.01 0.05 Send data to calculator Based on these data. can he consuimer aroiun conclude. at the 0 05 level of significance that the mean troad woar of nnd 1
Español
(a) State the null hypothesis H, and the alternative hypothesis H,.
H, :0
S
H,
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one) ▼
D=0
ロSロ
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
Find the critical value at the 0.05 level of significance. (Round to three or more decimal
(d)
places.)
(e) At the 0.05 level, can the consumer group conclude that the mean tread wear of Brand 1
exceeds that of Brand 2?
tu
Yes ONo
Transcribed Image Text:Español (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 S H, (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ D=0 ロSロ (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O Find the critical value at the 0.05 level of significance. (Round to three or more decimal (d) places.) (e) At the 0.05 level, can the consumer group conclude that the mean tread wear of Brand 1 exceeds that of Brand 2? tu Yes ONo
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