Chest deceleration measurements were made on dummies in car crash tests involving 7

small, 6 medium and 8 large randomly selected cars to investigate whether the size of the

car was related to crash trauma. Smaller measurements correspond to less trauma to the

crash test dummies. The deceleration measurements are given in the following table.

Small	43, 43, 42, 44, 44, 46, 46
Medium	38, 44, 43, 40, 38, 40
Large	38, 38, 38, 38, 41, 41, 39, 44

a) State the null and alternative hypotheses required to test if the average deceleration

measurements are significantly different between any of the car sizes.

Hypotheses: H₀:

H_A:

b) Carry out the ANOVA (with technology) and report the test statistic and P-value (round

to 3 decimals).

Test statistics=

P-value=

c) Conclusion with a significance level of =0.05

d) Would it be appropriate to perform a Bonferroni test to see if any of the groups differ?

PART B/ 2

A) Use your calculator or software such as SPSS to find the correlation value for the Age and Blood pressure data given below.

Age	69	22	65	23	15	30	58	15	39	16	41	53
BP	151	119	149	120	121	127	147	120	138	117	126	145

CorrelationR =

B) Researchers are investigating a possible relationship between hip circumference and weight in adults. The hip circumference (cm) and weight (kg) were recorded for a random sample of 250 adults. The relevant SPSS output are shown below Model Summary

1) State the correlation value and describe the apparent relationship between hip circumference and weight.

2) The slope =

3) State the regression equation:

4)Is the relationship between the variables significant? Perform the relevant hypothesis test and a conclusion in context. Use =0.05.

Hypotheses: H₀:

H_A:

Test statistic =

P-value = 0.0378

Conclusion:

5) Is it meaningful to interpret the y-intercept for this study? Explain.

6) Predict the weight for someone whose hip circumference is 110 cm:

7) Predict the weight for someone whose hip circumference is 211 cm. Is this prediction reliable?