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The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 350 hours
a. At the 0.05 level of significance, is there evidence that the mean life is different from 375 hours?b. Compute the p-value and interpret its meaning.c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.d. Compare the results of (a) and (c). What conclusions do you reach?
Which statistical analysis technique should be used? What is the null hypothesis? Can an analysis be performed? Why or why not?
Researchers at the Cornell University Food and Brand Lab conducted an experiment at a fitness camp for adolescents (Wansink & van Ittersum, 2003).
In a random sample of 150 sports cars, 60 failed emissions on the first pass. Is there sufficient evidence to indicate that the percentage of first failure for sports cars is higher than the percentage for all passenger cars?
Provide a business example that you can apply regression to. State the null and alternative hypothesis using the appropriate phrasing for the type of regression chosen.
Out of 1000 people surveyed, 600 belonged to urban areas and rest to rural areas. Among 500 who visited other states , 400 belonged to urban areas. Test 5 % level of significance whether area and visiting other state are dependent.
Draw a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.
Home mortgage interest rates for 30-year fixed rate loans vary throughout the country. During the summer 2000, data available from various parts of the country suggested that the standard deviation of the interest rates
The famous YS Chang restaurant is open 24 hours a day. Waiters and busboys report for duty at 3am, 7am, 11am, 3pm, 7pm, or 11pm, and each works an 8 hour shift. The following table shows the minimum number of workers needed during the six periods ..
Investigate the cost of a home mortgage and to determine the monthly payment.
The director of Heating and Oil at Superior Oil Company is concerned about the high cost of home heating oil being offered to their customers for the upcoming Fall season in Philadelphia, PA.
Company wishes to know how many pounds of each chemical ingredient to put into the bag of fertilizer to meet minimum needs of 20 ounces of nitrogen, 36 ounces of phosphate, and 2 ounces of potassium during minimizing cost.
A statistics practitioner conducted a two-factor analysis of variance experiment with a =4, b = 3, and r = 8. The sum of squares are listed here:
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