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1. In a bottling process, a manufacturer will lose money if the bottles contain either more or, less than is claimed on the label. The quality manager of a plant is interested in testing whether the mean ounces of catsup per family size bottle differ from the label by amount of 20 ounces. A sample of 9 bottles yields a mean fill of 19.7 ounces with a standard deviation of 0.3 ounces. Does the sample evidence indicate that the catsup-dispensing machines need adjustment at a 98% confidence?
2. A secretarial school that specializes in word processing wants to attract new students by touting its graduates' highly successful job placement records. The school's enrollment officer has decided to get the word out that its graduate average at least $10.50 per hour in their first job after graduation. The problem is, he/she has no evidence to back up this claim. With advertising brochures about to go to the printer, the enrollment officer suddenly worried that someone will challenge the claim and expose him/her. To keep the peace of mind, he/she samples 36 recent graduates and finds that the average starting salary is $10.25 with a standard deviation of $1.25. Does the sample data support the claim at a 99% confidence?
Explain thoroughly, the concept of standard deviation. How does range affect standard deviation? What is a z-score, and how do z-scores relate to the mean of a set of data?
How does a t test differ from a z test in terms of when it is used, how it is calculated, and how we determine significance?
Borst et.al. investigated the relation of ego development, age, gender, and diagnosis to suicidality among adolescent psychiatric inpatients.
In a manufacturing process, the diameter of the steel rods is the product characteristic. A random sample of 25 steel rods is taken and sample mean is 8.88 cm.
Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Five fossil specimens have preserved both the femur and humerus bones. The measurements (in centimeters) for each bone are given below.
A scientist wants a confidence interval of 90% and a margin of error of +-2 for a mean of a Normal population with σ =10. What size samples should she take?
At the 0.05 level of significance, is there evidence of a significant relationship between the age groups and where people primarily get their news? If so explain the relationship.
Use a 1% level of significance to test the claim that there are more calls during the night than in the day.
Population blood pressure (BP) of patients is normally distributed, with a mean of 127, and standard deviation of 8. A random sample of 49 patients in the hospital found an average BP of 125.
Let x be amount of May rainfall in local area, and suppose that x is uniformly distributed over interval three to six inches. Write down the formula for probability curve of x.
According to a survey reported in the Business Week, 30% of adults in the U.S. said that the cell phone is the invention that they hate most but cannot live without.
Find the regression equation to predict the cognitive series score from the 7 minute screen score using SPSS. Be sure to write out the equation by hand using the variable names
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