Question # 4 | French Biscuit Manufacturer (FBM), produces two types of biscuits 1) 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 nomally distributed data: Monthly Sale of Biscuits Double 8551 6314 5259 8138 8429 4807 8025 6845 6478 7513 Chocolate 9125 4894 9106 8775 10070 7845 6229 8459 10542 4196 10247 6601 7404 8919 9255 8404 6304 7803 11474 9131 Tea Time Kindly provide the following information regarding your data analysis. a. Write the null and altemative hypothesis. b. Detemine 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. 13345 8118 6713 7439 10957 12098 9134 7535 10316 8125

Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.

Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.

French Biscuit Manufacturer (FBM), produces two types of biscuits (1) 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 8551 6314 5259 8138 8429 4807 8025 6845 6478 7513 Chocolate 9125 4894 9106 8775 10070 7845 6229 8459 10542 4190