MTH 114-02 Spring 2023 - Lab Report 2
Assigned Thursday 4/6/2023
Due Thursday 5/4/2023 at 11:55pm

Counts twice as much as a homework grade (200 points instead of 100 points).

  • According to the World Health Organization, a normal, healthy adult should have a maximum systolic blood pressure of 135, and a maximum diastolic pressure of 90. In this lab report, you will analyze data involving blood pressure readings from the file BP.sav which is posted on Moodle.
  • Note: You are required to submit this entire assignment in one Microsoft Word file. Do not submit any SPSS files. Make sure all relevant SPSS output is included in the Microsoft Word file you submit.
  • For each of the following exercises, copy the appropriate output from SPSS into a single Microsoft Word file (filename: labreport2LASTNAME.doc) and answer the provided questions in full sentences:
    1. [40 pts.] Generate histograms for the 2 data sets sbpRest and dbpRest and make some conjectures about the data sets. Do the data sets appear approximately normal? Which data set contains more variation, and why might this be? See Cronk Section 4.2 for how to create histograms.
    2. [40 pts.] Calculate a confidence interval according to these directions:
       a) Set a "seed value" so that SPSS will generate random (technically pseudorandom) values:
         Select Transform then Random Number Generators.
         Click Set Starting Point and Fixed Value in this dialog.
         Type in the seed value 100ABCDEFG, where ABCDEFG is replaced by your 7 digit Adelphi ID.
       b) Use the following steps to create a confidence interval for the mean systolic resting blood pressure (sbprest) for a sample of 32 cases: In the Data Editor, select Data --> Select Cases. Then, choose the third option (Random sample of cases) and create exactly 32 cases (in the other blank, type the total number of rows of Data you have) and click OK. Then, select Analyze --> Descriptive Statistics --> Explore, and choose the variable sbprest.
       c) Interpret the results that you found in part (b).
    For questions 3 & 4, use the p-value method of hypothesis testing. Show all 5-6 steps for each hypothesis test.
    3. [60 pts.] Perform a one-sample hypothesis t-test with alpha = .05 on your sample of 32 to test if the population mean systolic resting blood pressure is below 135. This exercise is based on Cronk Section 6.2 for single-sample t-tests.
    4. [60 pts.] In a healthy adult, the ratio of systolic blood pressure to diastolic blood pressure should be 3:2.
         a) Create a new variable drbpScale whose value is 1.5 times the value of dbpRest. To do this, go to Transform->Compute Variable and enter the appropriate Target Variable and Numeric Expression.
         b) Perform an appropriate two-sample t-test with alpha = .05 on your sample of 32 to determine if there is any difference between the value of sbpRest and drbpScale. (This corresponds to seeing if the ratio of sbpRest and dbpRest differs from 3:2.) This exercise is based on Cronk Sections 6.3-6.4 for two-sample t-tests.



    Last Modified: 4/13/23