(a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and (e) At the 0.10 level, can the consumer group conclude that the mean tread wears of the brands differ?

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Chapter1: Starting With Matlab
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est. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answ
ibuted.
specified. (If necessary, consult a list of formulas.)
stribu
wear for the two brang
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
μ
О р
Ho :D
H₁ :0
S
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
0=0
020
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0#0 0<0 0>0
X
Ś ?
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
Dand
(e) At the 0.10 level, can the consumer group conclude that the mean tread wears of the brands differ?
Yes No
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
FI
F10
F8
F7
Explanation
Check
20
J
F6
|x
X
050
8
F9
<Q
010
Transcribed Image Text:est. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answ ibuted. specified. (If necessary, consult a list of formulas.) stribu wear for the two brang (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ О р Ho :D H₁ :0 S (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) 0=0 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0#0 0<0 0>0 X Ś ? (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) Dand (e) At the 0.10 level, can the consumer group conclude that the mean tread wears of the brands differ? Yes No 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility FI F10 F8 F7 Explanation Check 20 J F6 |x X 050 8 F9 <Q 010
>
Español
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. 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 8 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
2
3
4
5
67 7
8
Brand 1
0.40
0.46
0.53
0.34
0.40 0.59 0.37 0.45
Brand 2
0.53 0.57 0.19
0.32
0.38
0.48 0.47
Difference
(Brand 1- Brand 2)
0.05
-0.07-0.04 0.15
0.08 0.21 -0.11 -0.02
Aa
Send data to calculator
V
Based on these data, can the consumer group conclude, at the 0.10 level of significance, that the mean tread wears of the brands differ? Answer this question
by performing a hypothesis test regarding μ (which is u with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires.
Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed.
Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as
specified. (If necessary, consult a list of formulas.)
μ
O
Р
(a) State the null hypothesis H and the alternative hypothesis H₁.
0
H₁ :0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
and
Check
Explanation
Ho
0.35
|x
X
0=0
0#0
S
OSO
X
0<0
(Q
020
0>0
5
?
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use
Privacy Center | Accessibility
7
F10
F11
§
0!
A
F12
Transcribed Image Text:> Español A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. 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 8 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 2 3 4 5 67 7 8 Brand 1 0.40 0.46 0.53 0.34 0.40 0.59 0.37 0.45 Brand 2 0.53 0.57 0.19 0.32 0.38 0.48 0.47 Difference (Brand 1- Brand 2) 0.05 -0.07-0.04 0.15 0.08 0.21 -0.11 -0.02 Aa Send data to calculator V Based on these data, can the consumer group conclude, at the 0.10 level of significance, that the mean tread wears of the brands differ? Answer this question by performing a hypothesis test regarding μ (which is u with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) μ O Р (a) State the null hypothesis H and the alternative hypothesis H₁. 0 H₁ :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and Check Explanation Ho 0.35 |x X 0=0 0#0 S OSO X 0<0 (Q 020 0>0 5 ? 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center | Accessibility 7 F10 F11 § 0! A F12
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