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A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics.

Group n x¯ s
A 30 48 7
B 30 51 8
C 30 54 10
The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t -tests will be conducted, each at the significance level of α=0.05 .

(a) How many t -tests will need to be conducted for the manager’s investigation? List the pairs of groups for each test.

Answer :

igeclement43

Answer:

3 t-test is needed to be conducted

Explanation:

${teks-lihat-gambar} igeclement43

The number of t-tests that will be needed to be conducted for the manager’s investigation is; 3 sample t-tests

What type of ststistical test is required?

The are different types of tests used in statistical analysis. However, in this case we want to compare 3 groups at a time and as such the best test for this scenario is to make use of 3 sample t-test method.

Since the groups are labelled A, B and C, it means that the pairs of group for each test are;

For Group A & Group B;

Null Hypothesis; μ_a = μ_b

Alternative Hypothesis; μ_a ≠ μ_b

For Group B and Group C;

Null Hypothesis; μ_b = μ_c

Alternative Hypothesis; μ_b ≠ μ_c

For Group A and Group C;

Null Hypothesis; μ_a = μ_c

Alternative Hypothesis; μ_a ≠ μ_c

Read more about sample t-test at; https://brainly.com/question/6501190

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