French Biscuit Manufacturer (FBM), produces two types of biscuits (i) double chocolate biscuits and (ii) tea time
Question:
French Biscuit Manufacturer (FBM), produces two types of biscuits (i) double chocolate biscuits and (ii) tea time biscuits in two separate manufacturing units. They are interested in expanding the manufacturing units (one by one) because there is a demand in the market but facing a difficulty to decide which manufacturing unit should expand first. Company officials decided that the expansion decision was based upon monthly demand.
FBM official consults you and requests to give your valuable suggestion which will be helpful for final decision. you analyzed the following normally distributed data:
for final decision. you analyzed the following normally distributed data:
Monthly Sale of Biscuits | ||||||||||
Double Chocolate | 8551 | 6314 | 5259 | 8138 | 8429 | 4807 | 8025 | 6845 | 6478 | 7513 |
9125 | 4894 | 9106 | 8775 | 10070 | 7845 | 6229 | 8459 | 10542 | 4196 | |
Tea Time | 10247 | 6601 | 7404 | 8919 | 9255 | 8404 | 6304 | 7803 | 11474 | 9131 |
13345 | 8118 | 6713 | 7439 | 10957 | 12098 | 9134 | 7535 | 10316 | 8125 |
Kindly provide the following information regarding your data analysis.
a. Write the null and alternative hypothesis.
b. Determine the calculated value of the test statistic with equal variances assumption.
c. Calculate the tabulated value (critical value) of the test statistic at 0.05 level of significance.
d. Develop a 95% confidence interval for the difference between the average sales of the two types of biscuits assuming that the variances are equal.
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair