Two catalysts are being analyzed to determine how they affect the mean yield of a chemical...

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Two catalysts are being analyzed to determine how they affectthe mean yield of a chemical process. Specifically, catalyst 1 iscurrently used. Because catalyst 2 is cheaper, it should beadopted, if it does not change the process yield. A test is run inthe pilot plant and results in the data shown in the Table below.Both populations are assumed normal.
Observation #
Catalyst 1
Catalyst 1
1
91.5
89.19
2
94.18
90.95
3
92.18
90.46
4
95.39
93.21
5
91.79
97.19
6
89.07
97.04
7
94.72
91.07
8
89.21
92.75
a) Assuming equal variances, using a hypothesis test at 5% alphalevel, show if there is any difference in the mean yields.
b) Assuming unequal variances, using a hypothesis test at 5%alpha level, show if catalyst 2 yields greater mean than catalyst1.
c) Find a 95% confidence interval for the mean of catalyst 1minus that of catalyst 2 assuming equal variances.

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4.1 Ratings (657 Votes)

aHo 1 2 0 Ha 12 0 Level of Significance 005 Sample 1 Catalyst 1 mean of sample 1 x1 9226 standard deviation of sample 1 s1 239 size of sample 1 n1 8 Sample 2 Catalyst 2 mean of sample 2 x2 9273 standard deviation of sample 2 s2 298 size of sample 2 n2 8 difference in sample means x1x2 922550 See Answer

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Observation #	Catalyst 1	Catalyst 1
1	91.5	89.19
2	94.18	90.95
3	92.18	90.46
4	95.39	93.21
5	91.79	97.19
6	89.07	97.04
7	94.72	91.07
8	89.21	92.75