Two catalysts are being analyzed to determine how they affect the average yield of the chemical process. The higher the yield in percentage, the better the catalyst is. Catalyst A is a commercial catalyst that is currently being used. Catalyst B is developed by our research group based on a geopolymer material. The following table is the summarized result from the test runs in the pilot plant. Based on the normal probability plot, it is valid to assume normal distribution from these data. A B sample mean 92.0 94.0 sample standard 2.0 1.5 deviation sample size 12 10 Would there be any difference in the average yield at a 5 % level of significance? Is it valid to assume equal variances at a 5 % level of significance? Show the solution using statistical inference based on hypothesis testing by filling in the blanks. Express your numerical answers in 2 decimal places (e.g., 0.23, 0.01, or -2.10) unless specified and choose the right words as suggested in < text1, text2 >

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Two catalysts are being analyzed to determine how they affect the
average yield of the chemical process. The higher the yield in percentage,
the better the catalyst is. Catalyst A is a commercial catalyst that is
currently being used. Catalyst B is developed by our research group
based on a geopolymer material. The following table is the summarized
result from the test runs in the pilot plant. Based on the normal probability
plot, it is valid to assume normal distribution from these data.
A
B
sample mean
92.0
94.0
sample standard
2.0
1.5
deviation
sample size
12
10
Would there be any difference in the average yield at a 5 % level of
significance? Is it valid to assume equal variances at a 5 % level of
significance? Show the solution using statistical inference based on
hypothesis testing by filling in the blanks. Express your numerical
answers in 2 decimal places (e.g., 0.23, 0.01, or -2.10) unless
specified and choose the right words as suggested in < text1, text2 >
if provided.
The parameter of interest is the average process yield using catalyst A
(H) and catalyst B ((H2), and we will be interested to know if there is a
statistically significant difference at a= 5 %.
Then, the null hypothesis (Ho) is (H1 - H2) = 0
. The
alternative hypothesis (Ha) is (P1 - H2) # 0.
This is a
<write either "one-tailed" or "two-tailed"> test
using the test statistic from
distribution.
The computed test statistic from the sample data is
and its p-value is
Transcribed Image Text:Two catalysts are being analyzed to determine how they affect the average yield of the chemical process. The higher the yield in percentage, the better the catalyst is. Catalyst A is a commercial catalyst that is currently being used. Catalyst B is developed by our research group based on a geopolymer material. The following table is the summarized result from the test runs in the pilot plant. Based on the normal probability plot, it is valid to assume normal distribution from these data. A B sample mean 92.0 94.0 sample standard 2.0 1.5 deviation sample size 12 10 Would there be any difference in the average yield at a 5 % level of significance? Is it valid to assume equal variances at a 5 % level of significance? Show the solution using statistical inference based on hypothesis testing by filling in the blanks. Express your numerical answers in 2 decimal places (e.g., 0.23, 0.01, or -2.10) unless specified and choose the right words as suggested in < text1, text2 > if provided. The parameter of interest is the average process yield using catalyst A (H) and catalyst B ((H2), and we will be interested to know if there is a statistically significant difference at a= 5 %. Then, the null hypothesis (Ho) is (H1 - H2) = 0 . The alternative hypothesis (Ha) is (P1 - H2) # 0. This is a <write either "one-tailed" or "two-tailed"> test using the test statistic from distribution. The computed test statistic from the sample data is and its p-value is
Reject the null hypothesis if the test statistic is greater than the critical
value at the right which is equal to
Or reject the null hypothesis if the test statistic is less than the critical
value at left =
Transcribed Image Text:Reject the null hypothesis if the test statistic is greater than the critical value at the right which is equal to Or reject the null hypothesis if the test statistic is less than the critical value at left =
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