The Unilever Bangladesh Limited has a plant in Narayanganj, manufacturing Dove shampoo made from the ingredient imported
Question:
The Unilever Bangladesh Limited has a plant in Narayanganj, manufacturing Dove shampoo made from the ingredient imported from abroad. The company claims that each bottle of 200ml contain on average at least 16 ounces sodium lauryl sulfate. The distribution of weight is known to be normal, with a standard deviation of 0.4 ounce. A random sample of 16 shampoo yielded a sample mean weight of 15.84 ounces.
a) Develop Null and Alternative hypothesis to test each bottle (200ml) contain on average at least 16 ounces sodium lauryl sulfate?
b) Compute the value of the test statistic.
c) What is the p-value? Using α= .10, what is your conclusion?
d) What is the rejection rule using the critical value? What is your conclusion?
e) What is the Type I error in this situation? What are the consequences of making this error?
f) What is the Type II error in this situation? What are the consequences of making this error?
