Question

A pharmaceutical company is checking their medicines according to the regulations imposed. The company must ensure that their medicine contains exactly the amount prescribed. For a certain pill they tested they require the pill to be mg. The random sample of 26 that they took revealed that this was not the case. The mean weight of the pills in the sample was 9.02mg with a standard deviation of 5.10mg Use a 0.1 to answer the following questions a) What type of test would be appropriate in this situation? Aright-tailed lost. Ho: 57. H: 7 A left-tailed test. Ho 27. HA <7 A two-tailed test. Ho 7. Hy #7 None of the above. b) Which of the following sounds like an appropriate decision rule? Reject Ho in favour of He if the computed value of the test statistic is between 1708 and 1.708 Reject Ho in favour of Hy if the computed value of the test statistic is less than-1.708 Reject Mo in favour of Hy if the computed value of the test statistic is greater than 1708 Reject Ho in favour of Hif the computed value of the test statistic is less than 1708 or greater than 1.708 None of the above c) What is the computed test statistic? For full marks your answer should be accurate to at least two decimal places Test statistic: 0

Answer 1

Answer:

a)

Given,

Ho : u = 7

Ha : u != 7

Here it is two tailed

Option C

b)

alpha = 0.1 , degree of freedom = n - 1 = 26 - 1 = 25

t(alpha/2,df) = t(0.05,25) = 1.708

Critical value of t are +/- 1.708

Here reject Ho, if t < - 1.708 or t > 1.708

Option D

c)

test statistic t = (x - u)/(s/sqrt(n))

t = (9.02 - 7)/(5.10/sqrt(26))

= 2.02

d)

Option A