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: 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.
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
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.
e. “On average, sales of double chocolate biscuit is 500 units more than tea time biscuits”. Comments in the light of part “d” result.
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(a)
State the hypotheses.
That is, there is no difference between the average sales of the two types of biscuits assuming that the variances are equal.
That is, there is difference between the average sales of the two types of biscuits assuming that the variances are equal.
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