ISC Math 220, Fall 2014, Garren

Required SPSS Homework #4

due Tuesday, December 9, 5:30 p.m.

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(A) At least twice on your output, use SPSS to print your name.

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(B) When it is operating correctly, a machine for manufacturing tennis balls produces a population mean weight ( μ ) of 57.6 grams. A sample of seven tennis ball manufactured has weights (in grams) {57.3, 57.4, 57.7, 57.5, 57.1, 57.8, 57.6}. We are interested in testing at level α = 0.05 if the process is in control against the alternative that the true population mean ( μ ) of the process now differs from 57.6 grams.

(1) Label the variable as "weight".

(2) Using SPSS, print the data.

(3) Using SPSS, construct the Q-Q plot.

(4) Explain whether or not the normality assumption is reasonable for this data set, based on your answer to part (B3).

(5) Using a pen or pencil, write the null and alternative hypotheses. Be sure to define any notation (i.e., define μ ) which you use.

(6) Circle and label the P-value from your SPSS output.

(7) Write the conclusion of the hypothesis test in statistical terms and in regular English.

(8) Using SPSS, construct the 95% confidence interval on the population mean weight ( μ ) of the tennis balls.

(9) Circle and label this 95% confidence interval in your SPSS output.

(10) State whether or not your 95% confidence interval contains the null population mean of 57.6 grams.

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(C) Although you are allowed to receive help from others, list the names of those who helped you and the names of those whom you helped, as well as what type of help was given. If you did not give or receive help, then write "No help" on the first page. WARNING: Sharing ELECTRONIC copies of SPSS homework in part or in full is a university honor code violation.

(D) Staple your work together approximately in the order that the problems were assigned above.

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