Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an effort to get some more Legos to Europre before the holidays. However you can't ship out defective products and we're not sure how running the machines faster will effect quality control. It is your job to determine if a shipment of 10 million Legos can be sent out. You can't send out a batch is more than 1% of the batch is bad. 16,589 is the minimum amount of legos that need to be sampled in order for the statistics to be trusthworthy.  A) Perform a hypothesis test on this sample at the alpha=0.1 using the null hypothesis that the batch contains exactly 1% of defective legos. B) Interpret this hypothesis test in the context of the problem.

An outdoor hot dog vendor sells an average of 70 hot dogs per day in dry weather and an average of 25 hot dogs in rainy weather. If the weather in this area is rainy 20% if the time, determine the expected number of hot dogs sold per day.

Show work, round to nearest 4th decimal place and no excel.

You plan to invest $100 per month in a 401k, you are promised an average of 4% return over the next 40 years. Your employer will match 50% of your deposits. What would you type into Excel to estimate how much money should be in the 401k after 40 years? O =PMT(.04/12, 40*12,-150) O =PV(.04, 3*40*12,-150) O -150(1.04)40-12 O =FV(.04/12, 40*12,-100) O =FV(.04/12, 12*40, -150) 12.40 O 100 (1 + 12)

The following table shows quarterly demand (in thousand units) for a product over 4 years. Year 1 Year 2 Year 3 Year 4 Quarter 1 181 182 167 181 Quarter 2 109 113 116 127 Quarter 3 148 143 158 160 Quarter 4 130 140 155 140 PART A Assuming there is no trend, calculate the seasonal index (S.I.) for each quarter. Report final answers accurate to 4 decimal places. Do not round intermediate calculations. S.I. for Quarter 1 = S.I. for Quarter 2 = S.I. for Quarter 3 = S.I. for Quarter 4 =

4. In the beginning of the year 1990, there were three times as many Chinese as Europeans. The Chinese population increases every year by 2%, while the European population decreases each year by 0.5%. When will there be four times as many Chinese as Europeans?

Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.2 billion to $6.3 billion over the same time period (2009–2014). d. Write an equation that represents the linear model for streaming videos. Let S = the total sales of streaming videos in billions of dollars, and t = the number of years after 2009. e. In what year do the models predict streaming video sales to exceed DVD sales?

How should be the process to follow on this question, please? You buy 2,300 pens at the beginning of the school year. You estimate that 20% of them will have to be put on your "discount plate" at the end of the term on which everything is priced at $1. Generally, about 32% of the "discount plate" items will be damaged or broken and will have to be thrown away. The pens cost you $1.27 per pen and you want an average markup of 37% based on selling price. At what price must they start selling the pens?

Step 3: Assess the Evidence (Calculate the test statistic for the observed sample mean. Sketch the T-distribution and identify the position of the observed test statistic. Shade the area that represents the P-value. Use the test statistic to find the P-value.)

5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the…