Question

In: Statistics and Probability

An enzymatic reaction converts starch to simple sugars using a fungal enzyme that is very pH...

An enzymatic reaction converts starch to simple sugars using a fungal enzyme that is very pH sensitive and works efficiently ?f and only if the pH of the reaction environment is ?.20. Your statistician, Mr. Biswadeep Pai decides to use a pH meter that is known to give normally distributed replicate measurements. Suppose that ?0 independent replicate measurements of pH yield the following values: {?. ?8, ?. ?7, ?. ?6, ?. ?5, ?. ?1, ?. ?7, ?. ??, ?. ?8, ?. ?9, ?. ??}.

(a) What conclusion can Biswadeep draw at the ? = ?. ?0 level of significance?

(b) What conclusion can Biswadeep draw at the ? = ?. ?5 level of significance?

(c) Is "?f and only if" in the above problem statement a typo?

Solutions

Expert Solution

First we need to find the mean and SD of data. Following is the output of descriptive statistics:

Descriptive statistics
X
count 10
mean 8.1850
sample standard deviation 0.0246
sample variance 0.0006
minimum 8.15
maximum 8.22
range 0.07

a)

b)

(c)

No because test is not significant 5% level of significance. So pH level can be 8.20.


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