value: 10.00 points Exercise 9.31 METHODS AND APPLICATIONS Consider a chemical c

Question

value: 10.00 points Exercise 9.31 METHODS AND APPLICATIONS Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of its chemical process from the historical process mean of 750 pounds per hour. When five trial runs are made using the new catalyst, the following yields (in pounds per hour) are recorded: 801, 814, 784, 836, and 820. (a) Let be the mean of all possible yields using the new catalyst, set up the null and altemative hypotheses neededwe wish to attempt to provide evidence that differs from 750 pounds. # 750 (b 1 The mean and the standard deviation o he sample o 5 cata yst yields are· (a) by setting equal to .01. (Round your answers to 3 decimal places.) = 811 and S-19.647. Using a critica value and assum ng approximate non al test the potheses you set up n part zt.01/2 | (Click to select) #Ho at - (b-2) Interpret the p-value of 0.002261 There is (Click to select)] evidence against Ho.

Explanation / Answer

Xbar = 811

s = sample standard deviation = 19.647

Population mean, µ = 750

Sample size = n = 5

Population SD () is unkonwn

(b-1)

Degree of freedom, DF = n – 1 = 5 – 1 = 4

Test statistics, t0.01/2 = 4.604 (from t-table, column of t0.005 and row 4)

t-value, t = (Xbar - µ)/(s/n) = (811 – 750)/(19.647/5)

t = 61/9.7864

t = 6.94

Since, t-value > t-statistics thus reject the null hypothesis at = 0.01

(b-2)

There is strong evidence against H0

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