STA2300 : California Health and Fitness Clubs - Calculate the Value of the Appropriate Test - Statistics Assignment Help

Assignment Task :

Question 1  
This question uses information from the data file Body.sav found under the Assessment tab on the StudyDesk (also see Body.txt for more details about the source and the variables reported in the dataset). Make sure the Variable View in SPSS is setup properly with all ‘labels’ correctly defined (with units), all ‘values’ assigned correctly for categorical variables and the correct ‘measure’ selected for all variables.

The participants in the Body.sav dataset were taken randomly from dozens of California health and fitness clubs and the measurements were taken by technicians under the supervision of one of the researchers.

You should use SPSS to calculate the sample statistics (eg., mean and standard deviation) you will need to do this question, but for the confidence interval in part (a) and test statistic in part (d) you are required to do the rest of the calculations by hand, using a calculator.
(a) Construct a 99% confidence interval for the population mean Chest depth between spine and sternum (cm) of the participants in the age category “20 years and under” of all the California health and fitness clubs by hand (show all working).

(b) Check the appropriate conditions and assumptions needed for the validity of the confidence interval or hypothesis test for the population mean Chest depth between spine and sternum (cm) of the participants in the age category of “20 year or under” of all the California health and fitness clubs (include an appropriate graph to support your answer).

(c) A sports health specialist suspects that the average mean Chest depth between spine and sternum (cm) in the age category “20 years or under” of the California health and fitness clubs is more than 17cm. State appropriate hypotheses (define any symbols used) to perform a hypothesis test to see if there is evidence to support the suspicion, based on the available data (regardless of whether the conditions in part (b) are satisfied or not).

(d) Calculate the value of the appropriate test statistic for testing the hypotheses in part

(e)  Based on the test statistic calculated in part (d) and using the appropriate statistical table provided in the StudyDesk, find the P-value of the test, and write a meaningful conclusion at the 1% level of significance.

(f) Now, check your answers for parts (d) and (e) by finding the value of the test statistic and the P-value using SPSS. Include SPSS output in your answer and comment on the comparison with the hand calculated values. Explain any differences.

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