Question

*This exercise must be done in MINITAB**

In recent years, consumers have become more safety conscious, particularly about children's products. A manufacturer of children's pajamas is looking for material that is as nonflammable as possible. In an experiment to compare a new fabric with the kind now being used, 50 piece of each kind were exposed to an open flame, and the number of seconds until the fabric burst into flames was recorded. Because the new material is much more expensive than the current material, the manufacturer will switch only if the new material can be shown to be better. On the basis of these data, what should the manufacturer do?

New Material   Old Material
15   37
21   23
14   13
27   21
20   10
17   31
18   22
24   12
16   14
15   23
18   22
15   24
20   11
24   14
14   16
17   16
19   40
40   16
16   17
29   12
14   13
23   19
15   12
24   24
13   31
25   10
14   14
13   11
17   12
15   10
19   15
20   11
28   32
22   21
32   16
17   12
23   32
15   13
16   23
32   19
13   23
13   16
32   13
17   14
22   32
14   28
24   27
20   22
19   13
22   14

Answer 1

From the given data

New Material	Old Material	Difference
15	37	-22
21	23	-2
14	13	1
27	21	6
20	10	10
17	31	-14
18	22	-4
24	12	12
16	14	2
15	23	-8
18	22	-4
15	24	-9
20	11	9
24	14	10
14	16	-2
17	16	1
19	40	-21
40	16	24
16	17	-1
29	12	17
14	13	1
23	19	4
15	12	3
24	24	0
13	31	-18
25	10	15
14	14	0
13	11	2
17	12	5
15	10	5
19	15	4
20	11	9
28	32	-4
22	21	1
32	16	16
17	12	5
23	32	-9
15	13	2
16	23	-7
32	19	13
13	23	-10
13	16	-3
32	13	19
17	14	3
22	32	-10
14	28	-14
24	27	-3
20	22	-2
19	13	6
22	14	8

(1) Null and Alternative Hypothesis:

H0: the new material can not be shown to be better

H1: the new material can be shown to be better

i.e.

Thus we conclude that  the new material can not be shown to be better

Minitab Output: