Inferencial statistics a) Acme Toy Company prints baseball cards. The company claims that 30% of the cards are Rookies, 60% Veterans but not All-Stars, and 10% are Veteran All-Stars. Suppose a random sample of 100 cards has 50 Rookies, 45 Veterans, and 5 Veterans All-Stars. Rookies 50 Table 1: Veterans 45 Veteran All-Star Observed Expected 30 60 10 i) Set-up a hypothesis test to test if this information is consistent with the Acme's company claim? Use a 0.05 level of significance. Hint: Use chisquare goodness of fit test. ii) Suppose the random sample of 100 cards is said to have a standard deviation of 10.58 %, find a 90 % confidence interval for the population standard deviation. b) An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against the British Isles, New Zealand, Australia and France gave the following contingency table: Table 2: Tries Penalties Drops British Jel 70 21 6.
Inferencial statistics a) Acme Toy Company prints baseball cards. The company claims that 30% of the cards are Rookies, 60% Veterans but not All-Stars, and 10% are Veteran All-Stars. Suppose a random sample of 100 cards has 50 Rookies, 45 Veterans, and 5 Veterans All-Stars. Rookies 50 Table 1: Veterans 45 Veteran All-Star Observed Expected 30 60 10 i) Set-up a hypothesis test to test if this information is consistent with the Acme's company claim? Use a 0.05 level of significance. Hint: Use chisquare goodness of fit test. ii) Suppose the random sample of 100 cards is said to have a standard deviation of 10.58 %, find a 90 % confidence interval for the population standard deviation. b) An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against the British Isles, New Zealand, Australia and France gave the following contingency table: Table 2: Tries Penalties Drops British Jel 70 21 6.
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![Question 5
Inferencial statistics
a) Acme Toy Company prints baseball cards. The company claims that 30% of the cards are Rookies,
60% Veterans but not All-Stars, and 10% are Veteran All-Stars.
Suppose a random sample of 100 cards has 50 Rookies, 45 Veterans, and 5 Veterans All-Stars.
Table 1:
Veterans
Rookies
Veteran All-Star
Observed
50
45
5
Expected
30
60
10
i) Set-up a hypothesis test to test if this information is consistent with the Acme's company claim? Use a
0.05 level of significance.
Hint: Use chisquare goodness of fit test.
ii) Suppose the random sample of 100 cards is said to have a standard deviation of 10.58 %, find a 90 %
confidence interval for the population standard deviation.
b) An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against
the British Isles, New Zealand, Australia and France gave the following contingency table:
Table 2:
Tries Penalties | Drops
British Isles
70
31
6
New Zealand
Australia
79
44
38
11
31
7
France
43
32
3
The number of penalities scored against New Zealand and France seems unexpectedly high, and this
leads you to want to test the hypothesis that the mode of scoring is dependent on the opponents. At
5% level of significance, can you carry out a test for association?
Hint: Use chisquare test for independence/association.
NB: Make use of the chi-squared distribution table on "Appendix".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eb2cf4a-2e60-4cc6-a01e-d5a0b98f77a8%2F333a0630-1ac0-4fce-80a7-ff783d0ff091%2Fuz2npk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
Inferencial statistics
a) Acme Toy Company prints baseball cards. The company claims that 30% of the cards are Rookies,
60% Veterans but not All-Stars, and 10% are Veteran All-Stars.
Suppose a random sample of 100 cards has 50 Rookies, 45 Veterans, and 5 Veterans All-Stars.
Table 1:
Veterans
Rookies
Veteran All-Star
Observed
50
45
5
Expected
30
60
10
i) Set-up a hypothesis test to test if this information is consistent with the Acme's company claim? Use a
0.05 level of significance.
Hint: Use chisquare goodness of fit test.
ii) Suppose the random sample of 100 cards is said to have a standard deviation of 10.58 %, find a 90 %
confidence interval for the population standard deviation.
b) An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against
the British Isles, New Zealand, Australia and France gave the following contingency table:
Table 2:
Tries Penalties | Drops
British Isles
70
31
6
New Zealand
Australia
79
44
38
11
31
7
France
43
32
3
The number of penalities scored against New Zealand and France seems unexpectedly high, and this
leads you to want to test the hypothesis that the mode of scoring is dependent on the opponents. At
5% level of significance, can you carry out a test for association?
Hint: Use chisquare test for independence/association.
NB: Make use of the chi-squared distribution table on "Appendix".
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