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A law enforcement agent believes that at least 84% of the drivers stopped for speeding on Saturday nights are under the influence of alcohol. A sample of 84 drivers who were stopped for speeding on a Saturday night was taken. Seventy-five percent of the drivers in the sample were under the influence of alcohol.

A tire manufacturer has been producing tires with an average life expectancy of 27,000 miles. Now the company is advertising that its new tires’ life expectancy has increased. To test the legitimacy of the advertising campaign, an independent testing agency tested a sample of 6 of their tires and has provided the following data.  Use the 0.01 level of significance . Life Expectancy(In Thousands of Miles) 31 29 26 30 32 26  

For the previous question on the tire company, use the 0.01 level of significance  enter the critical value (value you looked up in table or Excel)   Round your answer to three decimal places.

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.82 ounces with a standard deviation of 0.35 ounces.   Formulate the hypotheses (in ounces) for a test to determine if the machine is in perfect adjustment

A population has a mean of 125 and a σ of 16. A sample of 64 observations will be taken. Find the probability that the sample mean will be between 122.8 and 126.7.   Round answer to 4 decimal places

1. An unknown amount of water is added to 25 mL of a 0.51 M aqueous glucose solution. What can be said about the concentration of the resulting solution? Does the concentration increase, decrease, or stay the same? Explain.     2. How many grams of glucose (C6H12O6) are needed to make 25 mL of a 0.52 M aqueous glucose solution. You must type out all work in the box to receive credit.

17. A client has an order for insulin aspart 4 units subcutaneous daily at 0730. Additionally, the client has a PRN order for insulin aspart sliding scale subcutaneous QID ac (four times a day before meals and at bedtime). If the client”s finger stick blood glucose level at 0700 is 199 mg/dL, what dose of insulin should the client receive for the sliding scale insulin? [insulin1] How much total insulin will the client receive? [insulin2]   Blood Glucose (mg/dL) Insulin Aspart Dose (units) 300 Call physician

4. The nurse is caring for a toddler who was diagnosed with impetigo who weighs 15 kg. The provider orders amoxicillin 4mg/kg PO BID (by mouth twice daily). How many milligrams will the nurse administer for each dose? LABEL YOUR ANSWER.

Find the dual of the following LP.

How does the optimal objective value of the integer program change after adding a cutting plane?