The data below shows the SAT scores of 30 students at Martin Luther King High School in Florida. 1561 1554 1536 1531 1523 1518 1515 1511 1506 1500 1499 1493 1490 1489 1485 1482 1482 1479 1477 1466 1453 1448 1439 1432 1423 1421 1413 1407 1394 1388 a. Test the hypothesis that mean is less than 1500. Use the 1% level of significance. b. Would your conlcusion change at the 10% level of significance? Show all steps.
Question 1
The data below shows the SAT scores of 30 students at Martin Luther King High School in Florida.
1561 1554 1536 1531 1523 1518 1515 1511 1506 1500 1499 1493 1490 1489 1485
1482 1482 1479 1477 1466 1453 1448 1439 1432 1423 1421 1413 1407 1394 1388
a. Test the hypothesis that mean is less than 1500. Use the 1% level of significance.
b. Would your conlcusion change at the 10% level of significance? Show all steps.
Question 2
A researcher was interested in studying if there is a significant relationship between the severity
of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are
shown below. (see attached image)
a. State both the null and alternative hypotheses.
b. Provide the decision rule for making this decision. Use an alpha level of 5%.
c. Show all of the work necessary to calculate the appropriate statistic.
d. What conclusion are you allowed to draw?
e. Would your conclusion change at the 10% level of significance?
f. Confirm test results in part (c) using JASP. Note: All JASP input files and output
tables should be provided
Question 3
The Bank of Canada is interested in studying the relationship between mortgage rates and
home prices. The data is provided below ( see image attached)
a) Estimate a simple linear regression model and find the value of the parameters for the
estimation of mortgage rates and the median home price.All JASP input files and output
tables should be provided
b) Interpret the intercept and the slope coefficients
c) State the
coefficient of determination
d) Confirm the intercept, slope and correlation coefficient by computing them without SPSS.
e) At the 5% significance level, determine if the model is useful. In responding, construct and
test any appropriate hypothesis.
What is jasp?
JASP is a free and open-source program for statistical analysis supported by the University of Amsterdam. It is designed to be easy to use, and familiar to users of SPSS. It offers standard analysis procedures in both their classical and Bayesian form.
JASP can be downloaded and used at its official site here : https://jasp-stats.org/
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