question archive A random sample of 36 tourists in the Grand Bahamas showed that they spent an average of $1,860 (in a week) with a standard deviation of $126; and a sample of 64 tourists in New Province showed that they spent an average of $1,935 (in a week) with a standard deviation of $138
A random sample of 36 tourists in the Grand Bahamas showed that they spent an average of $1,860 (in a week) with a standard deviation of $126; and a sample of 64 tourists in New Province showed that they spent an average of $1,935 (in a week) with a standard deviation of $138
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A random sample of 36 tourists in the Grand Bahamas showed that they spent an average of $1,860 (in a week) with a standard deviation of $126; and a sample of 64 tourists in New Province showed that they spent an average of $1,935 (in a week) with a standard deviation of $138.
Is there any significant difference between the average expenditures of those who visited the two islands? Use a confidence coefficient of 0.95. What statement can be made about the form of the test of hypothesis? Select one:
A. It's a right tail test
B. It's a left tail test
C. It's a two tail test
D. None of the above answers is correct
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Given information:
- On an average, the amount of $1,860 spent in a week by the randomly selected 36 tourists in Grand Bahamas with a standard deviation of $126.
- On an average, the amount of $1,935 spent in a week by randomly selected 64 tourists in New Province with a standard deviation of $138.
The researcher wants to test the whether the significant difference exist between the average expenditures of tourists who visited the two islands.
Let μ1 be the average expenditures of tourists who visited the island in Grand Bahamas.
Let μ2 be the average expenditures of tourists who visited the island in New Province.
The statistical hypothesis can be framed as:
H0:μ1=μ2
Ha:μ1≠μ2
The test is of two-sided or two-tailed as the direction of the statistical test is not specified in the alternative hypothesis.
Therefore, the correct form of the statistical test of hypothesis is two tail test.
Hence, option C is correct.
