The yield of a chemical process is being studied. From previous experience, yield is known to be normally distributed and Ïƒ=3 . The past five days of plant operation have resulted in the following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3.
a. Find a 95% two-sided confidence interval on the true mean yield. b. Find a 95% upper level confidence interval on the true mean yield. c. How many samples of yield is needed to obtain a 95% two-sided confidence interval with width 1? d. If we don't know the value of Ïƒ , how would the 95% two-sided confidence interval be?

The amount of product you actually get after doing an experiment is known as the experimental yield. Calculating the % yield will show you how much of the theoretical yield you actually achieved in a particular experiment. The quantity of pure and dry product produced in a chemical reaction is known as the reaction yield (absolute yield). The relative or percentage yield (%) is typically determined in order to assess the effectiveness of a chemical process in organic synthesis.

How is the yield of a chemical reaction determined?

The percent yield can be calculated by applying the following formula:%yield = (actual yield/theoretical yield) x 100.

Brifieng:

Step-by-step explanation:

Given the data:

91.6, 88.75, 90.8, 89.95, 91.3

Mean, m = Σx / n

n = sample size = 5

Mean = 452.4 / 5 = 90.48

Standard deviation, σ = 3

Zcritical at 95% = 1.96

Confidence interval :

Mean ± Error margin

Error margin = Zcritical*σ/sqrt

Error margin = 1.96 * 3/sqrt(5)

Error margin = 2.630

Lower boundary : 90.48 - 2.630 = 87.85

Upper boundary : 90.48 + 2.630 = 93.11

(87.85 ; 93.11)

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