A manufacturer of glass jars hires a quality control specialist after receiving multiple complaints from customers about the jars allegedly having a smaller volume than the advertised volume of 500 ml. The quality control specialist randomly selects 38 jars from the production line and calculates a mean volume of 498.8 ml with a standard deviation of 0.66 ml.
a) What is the population of interest?
a. 38 glass jars
b. all glass jars made by all manufacturers
c. all customers who purchase glass jars
d. all glass jars made by this manufacturer
e. all glass jars
b) What is the sample?
a. all glass jars made by all manufacturers
b. all glass jars
c. all customers who purchase glass jars
d. all glass jars made by this manufacturer
e. 38 glass jars
c) What is the null hypothesis being tested?
a. H0: μ = 498.8
b. H0: x = 498.8
c. H0: μ1 - μ2 = 500
d. H0: μ = 500
e. H0: x = 500
f. H0: μ1 - μ2 = 0
For d) and e), use at least four decimal places in your intermediate calculations and only round your final answer to two decimal places. Make sure you put the lower number first for d).
d) The approximate 95% confidence interval based on this data is: ( , )
e) What is the t-statistic based on the data?
f) We expect the p-value to be (Select: less than 0.05, greater than 0.05, cannot be determined)
g) The correct statistical decision is to (Select: reject H0, accept H0, fail to reject H0)
h) Do the customers seem to be correct that the jars have a smaller volume than advertised?