Amanufacturer of detergent claims that the contents of boxes sold "are guaranteed to weigh on average at least 18 ounces". if this claim turns out to be false, the manufacturer will face a high fine. the distribution of weight is known to be normal, with a standard deviation of 0.6 ounce. a random sample of 16 boxes yielded a sample mean weight of 19ounces. (a)does the sample provide evidence at the 5% significance level to put the manufacturer's mind at peace in terms of the possible fine? (b)does the sample provide evidence at the 5% significance level for the state to persecute the manufacturer for false claim?

U. s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.

Lavage rapide is a canadian company that owns and operates a large automatic car wash facility near montreal. the following table provides data concerning the company’s costs: fixed cost per month cost per car washed cleaning supplies $ 0.70 electricity $ 1,400 $ 0.07 maintenance $ 0.15 wages and salaries $ 4,900 $ 0.30 depreciation $ 8,300 rent $ 1,900 administrative expenses $ 1,400 $ 0.03 for example, electricity costs are $1,400 per month plus $0.07 per car washed. the company expects to wash 8,000 cars in august and to collect an average of $6.50 per car washed. the actual operating results for august appear below. lavage rapide income statement for the month ended august 31 actual cars washed 8,100 revenue $ 54,100 expenses: cleaning supplies 6,100 electricity 1,930 maintenance 1,440 wages and salaries 7,660 depreciation 8,300 rent 2,100 administrative expenses 1,540 total expense 29,070 net operating income $ 25,030 required: calculate the company's revenue and spending variances for august.

In canada, the reference base period for the cpi is 2002. by 2012, prices had risen by 21.6 percent since the base period. the inflation rate in canada in 2013 was 1.1 percent. calculate the cpi in canada in 2013. hint: use the information that “prices had risen by 21.6 percent since the base period” to find the cpi in 2012. use the inflation rate formula (inflation is the growth rate of the cpi) to find cpi in 2013, knowing the cpi in 2012 and the inflation rate. the cpi in canada in 2013 is round up your answer to the first decimal. 122.9 130.7 119.6 110.5