In: Statistics and Probability
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?
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.