IB Applications Ch. 8 Review

Ibrahim belongs to a tennis club. He watched a match played by each of the top eight tennis players and recorded the number of aces that they hit. The results are shown in the table.

Which calculation or statistical test is best for this scenario?

• Spearman's Rank Correlation

• Chi-Square Goodness of Fit Test

• Chi-Square Test for Independence

• T-Test

Ibrahim belongs to a tennis club. He watched a match played by each of the top eight tennis players and recorded the number of aces that they hit. The results are shown in the table.

Why would it not be appropriate to use the PMCC (Pearson's correlation, r) in this case?

• The data is nonlinear

• The data is already ranked

• There is an outlier

• There is a negative correlation

Each of the 140 members of a running club trains once a week in order to run a half-marathon. The number who train each day is shown in the table. We would like to find out if members are equally likely to train on each day of the week.

Which calculation or statistical test is best for this scenario?

• Spearman's Rank Correlation

• Chi-Square Goodness of Fit Test

• Chi-Square Test for Independence

• T-Test

Each of the 140 members of a running club trains once a week in order to run a half-marathon. The number who train each day is shown in the table. We would like to find out if members are equally likely to train on each day of the week.

Which distribution does this goodness of fit test use?

• Uniform distribution

• Normal distribution

• Binomial distribution

• None of the three given

The heights of 14-year-old girls are normally distributed with a mean of 158 cm and standard deviation of 4 cm. Giorgio measures 500 14-year-old girls and his results are shown in the table. Find out if the heights are normally distributed.

Which calculation or statistical test is best for this scenario?

• Spearman's Rank Correlation

• Chi-Square Goodness of Fit Test

• Chi-Square Test for Independence

• T-Test

The heights of 14-year-old girls are normally distributed with a mean of 158 cm and standard deviation of 4 cm. Giorgio measures 500 14-year-old girls and his results are shown in the table. Find out if the heights are normally distributed.

Write down the number of degrees of freedom for this goodness of fit test.

• 2

• 3

• 4

• 5

Bert wanted to find out whether there was any relationship between gender and favourite colour of car. He collected data from 100 people as shown in the table.

Which calculation or statistical test is best for this scenario?

• Spearman's Rank Correlation

• Chi-Square Goodness of Fit Test

• Chi-Square Test for Independence

• T-Test

Bert wanted to find out whether there was any relationship between gender and favourite colour of car. He collected data from 100 people as shown in the table.

Write down the number of degrees of freedom for this chi-square test for independence.

• 3

• 4

• 7

• 8

Mrs. Nelson gave her two Grade 12 classes the same history test. She wanted to find out whether one class was better than the other or not. The results are shown in the table.

Which calculation or statistical test is best for this scenario?

• Spearman's Rank Correlation

• Chi-Square Goodness of Fit Test

• Chi-Square Test for Independence

• T-Test

Mrs. Nelson gave her two Grade 12 classes the same history test. She wanted to find out whether one class was better than the other or not. The results are shown in the table.

State whether this is a one-tailed test or a two-tailed test.

• One-tailed since Class 1 has more data

• One-tailed since she believes Class 1 did better

• Two-tailed since she doesn't know which class did better

• Two-tailed since there are two classes