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QR Challenge: Chi-squared Tests

Created using the ClassTools QR Treasure Hunt Generator

Teacher Notes

A. Prior to the lesson:

1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.

2. If their phone camera doesn't automatically detect and decode QR codes, ask students to

3. Print out the QR codes.

4. Cut them out and place them around your class / school.


B. The lesson:

1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.

2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.

3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!


C. TIPS / OTHER IDEAS

4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.


Questions / Answers (teacher reference)

Question

Answer

1. In the Mendel’s peas experiments, the results of a sample of 768 pea plants produced in the lab are observed and recorded. The colours and the shapes of the pea are grouped in the table given. According to Mendel’s Genetics theory, the expected figures follows the ratio 9 : 3 : 3 : 1. Perform a goodness-of-fit test, at the 10% significance level, whether the sample follows the ratio 9 : 3 : 3 : 1. 1
2. An interview done to 200 subjects to survey the methods of communication preferred by two generations of people are recorded in the table given. Determine at 5% level of significance, whether there is enough evidence to associate between the preferred communication methods and the generations of people. 2
3. A firm producing mugs has a quality control scheme in which a random sample of 5 mugs from each batch is inspected. The number of defective mugs in each sample is given in the table. Test at the 5% level of significance, whether or not the data follows binomial distribution with parameters n = 5 and p = 0.3. 3
4. The school canteen operator undertakes a survey of the numbers and types of drinks ordered by a random sample of 400 students in the school. The students are categorized as lower secondary, upper secondary or sixth former. The drinks are categorized as mineral water or sweetened drinks. A table of the results of the survey is given. Test whether the data provide evidence, at the 5% significance level, that the types of students and type of drinks are independent. 4
5. It is thought that there is an association between the grades of Mathematics and English for a particular group of students in a college. The grades of 200 students in the group were studied with the following results. Test whether the data provide evidence, at the 5% significance level, that there is an association between English and Mathematics results. State your conclusion. 5

 



Chi-squared Tests: QR Challenge

https://www.classtools.net/QR/decode.php?text=In_the_Mendel’s_peas_experiments,_the_results_of_a_sample_of_768_pea_plants_produced_in_the_lab_are_observed_and_recorded._The_colours_and_the_shapes_of_the_pea_are_grouped_in_the_table_given._According_to_Mendel’s_Genetics_theory,_the_expected_figures_follows_the_ratio_9_:_3_:_3_:_1._Perform_a_goodness-of-fit_test,_at_the_10%_significance_level,_whether_the_sample_follows_the_ratio_9_:_3_:_3_:_1.

Question 1 (of 5)

 



Chi-squared Tests: QR Challenge

https://www.classtools.net/QR/decode.php?text=An_interview_done_to_200_subjects_to_survey_the_methods_of_communication_preferred_by_two_generations_of_people_are_recorded_in_the_table_given._Determine_at_5%_level_of_significance,_whether_there_is_enough_evidence_to_associate_between_the_preferred_communication_methods_and_the_generations_of_people.

Question 2 (of 5)

 



Chi-squared Tests: QR Challenge

https://www.classtools.net/QR/decode.php?text=A_firm_producing_mugs_has_a_quality_control_scheme_in_which_a_random_sample_of_5_mugs_from_each_batch_is_inspected._The_number_of_defective_mugs_in_each_sample_is_given_in_the_table._Test_at_the_5%_level_of_significance,_whether_or_not_the_data_follows_binomial_distribution_with_parameters_n_=_5_and_p_=_0.3.

Question 3 (of 5)

 



Chi-squared Tests: QR Challenge

https://www.classtools.net/QR/decode.php?text=The_school_canteen_operator_undertakes_a_survey_of_the_numbers_and_types_of_drinks_ordered_by_a_random_sample_of_400_students_in_the_school._The_students_are_categorized_as_lower_secondary,_upper_secondary_or_sixth_former._The_drinks_are_categorized_as_mineral_water_or_sweetened_drinks.__A_table_of_the_results_of_the_survey_is_given._Test_whether_the_data_provide_evidence,_at_the_5%_significance_level,_that_the_types_of_students_and_type_of_drinks_are_independent.

Question 4 (of 5)

 



Chi-squared Tests: QR Challenge

https://www.classtools.net/QR/decode.php?text=It_is_thought_that_there_is_an_association_between_the_grades_of_Mathematics_and_English_for_a_particular_group_of_students_in_a_college._The_grades_of_200_students_in_the_group_were_studied_with_the_following_results._Test_whether_the_data_provide_evidence,_at_the_5%_significance_level,_that_there_is_an_association_between_English_and_Mathematics_results._State_your_conclusion.

Question 5 (of 5)