1 A manufacturer claims that the mean driving per mile of its sedans is less than that of its leading competitor You conduct a study using 29randomly selected sedans from the manufacturer and 32from the leading competitor The results are given below Manufacturer Competitor X 1 0 48 mi X2 0 5 mi s 1 0 05 mi s 2 0 07 mi n 1 29 n 2 32 At 0 05, can you support the manufacturer's claim Assume the population variances are equal A The degrees of freedom for the test statistic B P value C Would you support the manufacturer's claim at 5 significance level 2 A shoe manufacturer claims that athletes can increase their vertical jump heights using the manufacturer's training shoes The vertical jump heights of eight randomly selected athletes are measured After the athletes have used the shoes for 10 months, their vertical jump heights are measured again The vertical jump heights (in inches) for each athlete and some statistics are given in the table below Athlete 1 2 3 4 5 6 7 8 Mean SD jump height before using the shoes 23 28 25 24 35 31 32 31 28 6250 4 3074 jump height after using the shoes 26 31 26 24 33 33 35 34 30 2500 4 2678 difference 3 3 1 0 2 2 3 3 1 6250 1 8468 Where difference jump height after shoes jump height before shoes At 0 10, is there enough evidence to support the manufacurer's claim Assume the vertical jump heights are normally distributed A P value B Would you support the manufacturer's claim at 5 significance level 3 A chemical engineer is investigating the effect of process operating temperature on product yield The study results in the following data Temperature Yield 100 70 18 110 69 95 120 68 04 130 81 23 140 80 30 150 91 17 160 103 07 170 116 66 180 118 95 190 124 68 You can use Minitab to answer the following questions However, you should be able to calculate the slope and intercept of the least squares regression model by hand, which requires only the means and standard deviations of X and Y, and the correlation coefficient (here r 0 9664) A Mean Yeld B If the yield were measured in ounces instead of grams (note that 1 gram is 0 35274 ounces), the correlation coefficient would increase by a factor of

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1. A manufacturer claims that the mean driving per mile of its sedans is less than that of its leading competitor. You conduct a study

1. A manufacturer claims that the mean driving per mile of its sedans is less than that of its leading competitor. You conduct a study using 29randomly selected sedans from the manufacturer and 32from the leading competitor. The results are given below

Manufacturer	Competitor
X₁= 0.48 /mi	X2= 0.5 /mi
s₁= 0.05 /mi	s₂= 0.07 /mi
n₁= 29	n₂= 32

At = 0.05, can you support the manufacturer's claim? Assume the population variances are equal.

A. The degrees of freedom for the test statistic

B. P-value:

C. Would you support the manufacturer's claim at 5% significance level?

2. A shoe manufacturer claims that athletes can increase their vertical jump heights using the manufacturer's training shoes. The vertical jump heights of eight randomly selected athletes are measured. After the athletes have used the shoes for 10 months, their vertical jump heights are measured again. The vertical jump heights (in inches) for each athlete and some statistics are given in the table below.

Athlete	1	2	3	4	5	6	7	8	Mean	SD
jump height before using the shoes	23	28	25	24	35	31	32	31	28.6250	4.3074
jump height after using the shoes	26	31	26	24	33	33	35	34	30.2500	4.2678
difference	3	3	1	0	-2	2	3	3	1.6250	1.8468

Where difference = jump height after shoes jump height before shoes. At = 0.10, is there enough evidence to support the manufacurer's claim? Assume the vertical jump heights are normally distributed.

A. P-value

B. Would you support the manufacturer's claim at 5% significance level?

3. A chemical engineer is investigating the effect of process operating temperature on product yield.The study results in the following data:

Temperature		Yield
100		70.18
110		69.95
120		68.04
130		81.23
140		80.30
150		91.17
160		103.07
170		116.66
180		118.95
190		124.68

You can use Minitab to answer the following questions. However, you should be able to calculate the slope and intercept of the least squares regression model by hand, which requires only the means and standard deviations of X and Y, and the correlation coefficient (here r = 0.9664).

A. Mean Yeld:|

B.If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the correlation coefficient would increase by a factor of: