Chicken Delight Claims That 92% Of Its Orders Are Delivered

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1.

value:
10.00 points

 

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Chicken Delight claims that 92% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 80 orders revealed that 70 were delivered within the promised time. At the 0.01 significance level, can we conclude that less than 92% of the orders are delivered in less than 10 minutes?

 

a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

 

  Reject H0 if z <  H0 : π ≥ 0.92

 

2.

value:
1.00 points

 

The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 400 vines sprayed with Action were checked. The results are:

 

  Insecticide Number of
Vines Checked
(sample size)
Number of
Infested Vines
  Pernod 5 400 34
  Action 400 38

 

 

At the .01 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Hint: For the calculations, assume the Pernod as the first sample.

 

1. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.)

 

  H0 is rejected if z <

 

3.

value:
10.00 points

 

The safety director of large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place.

 

  Number of     Number of
  Time Accidents    Time Accidents
  8 up to 9 A.M.   6      1 up to 2 P.M.   5  
  9 up to 10 A.M.   7      2 up to 3 P.M.   9  
  10 up to 11 A.M.   25      3 up to 4 P.M.   24  
  11 up to 12 P.M.   7      4 up to 5 P.M.   6  

 

Using the goodness-of-fit test and the 0.02 level of significance, determine whether the accidents are evenly distributed throughout the day. (Round your answers to 3 decimal places.)

 

  H0: The accidents are evenly distributed throughout the day.
H1: The accidents are not evenly distributed throughout the day.

 

   Reject H0 if   >  H0. The accidents  evenly distributed throughout the day.

 

4.

value:
10.00 points

 

The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the 0.05 significance level. (Round your answers to 3 decimal places.)

 

  Had Accident Did Not Have an Accident
  in the Last Year in the Last Year
  Uses a cell phone   20   300
  Does not use a cell phone   40   450

 

  H0: No relationship between phone use and accidents.
  H1: There is a relationship between phone use and accidents.
  Reject H0 if  X2 >  H0. There  relationship between phone use and accidents.

 

 

5. Refer to the Real Estate data, which reports information on homes sold in Goodyear, Arizona, last year.

  1. Let selling price be the dependent variable and size of the home the independent variable. Determine the regression equation. Estimate the selling price for a home with an area of 2,200 square feet. Determine the 95% confidence interval and the 95% prediction interval for the selling price of a home with 2,200 square feet.
  2. Let selling price be the dependent variable and distance from the center of the city the independent variable. Determine the regression equation. Estimate the selling price of a home 20 miles from the center of the city. Determine the 95% confidence interval and the 95% prediction interval for homes 20 miles from the center of the city.
  3. Can you conclude that the independent variables “distance from the center of the city” and “selling price” are negatively correlated and that the area of the home and the selling price are positively correlated? Use the .05 significance level. Report the p-value of the test. Summarize your results in a brief report.

 

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