TEST 3: Directions: Identify whether the given hypothesis is one-tailed or two-tailed. Write ONE if it is one-tailed and TWO if it is a two-tailed test.1. A used car dealer says that the mean price car in the Philippines is at least ₱350,000.2. PAG-ASA reported that the mean annual rainfall in the Philippines is at most 4,064mm.3. According to the survey, the average cost of visiting doctors is ₱500.4. The mean age of students in a university in the previous years was 27 years old. An instructor thinks themean age for students is older than 27. She randomly surveys 56 students and finds that the sample meanis 29 with a standard deviation of 2.5. The mean work week for engineers in a new company is believed to be about 40 hours. A newly hiredengineer hopes that it is shorter. She asks 10 engineering friends for the lengths of their mean work weeks.Based on the results, should she count on the mean work week to be shorter than 40 hours?
Question
TEST 3: Directions: Identify whether the given hypothesis is one-tailed or two-tailed. Write ONE if it is one-tailed and TWO if it is a two-tailed test.1. A used car dealer says that the mean price car in the Philippines is at least ₱350,000.2. PAG-ASA reported that the mean annual rainfall in the Philippines is at most 4,064mm.3. According to the survey, the average cost of visiting doctors is ₱500.4. The mean age of students in a university in the previous years was 27 years old. An instructor thinks themean age for students is older than 27. She randomly surveys 56 students and finds that the sample meanis 29 with a standard deviation of 2.5. The mean work week for engineers in a new company is believed to be about 40 hours. A newly hiredengineer hopes that it is shorter. She asks 10 engineering friends for the lengths of their mean work weeks.Based on the results, should she count on the mean work week to be shorter than 40 hours?
Solution
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ONE - The hypothesis is testing if the mean price is at least ₱350,000, which means it's only looking at one direction (greater than or equal to ₱350,000).
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ONE - The hypothesis is testing if the mean annual rainfall is at most 4,064mm, which means it's only looking at one direction (less than or equal to 4,064mm).
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TWO - The hypothesis is testing if the average cost of visiting doctors is ₱500. This could mean it's either less than or greater than ₱500, so it's a two-tailed test.
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ONE - The instructor thinks the mean age for students is older than 27. This is a one-tailed test because it's only looking at one direction (greater than 27).
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ONE - The newly hired engineer hopes that the mean work week is shorter than 40 hours. This is a one-tailed test because it's only looking at one direction (less than 40 hours).
Similar Questions
TEST 4: Directions: Formulate the null and alternative hypotheses. Identify whether it is one-tailed or two-tailed. If the hypothesis is one-tailed, identify its direction whether it is left or right. Write your answer on aseparate sheet of paper.1. The average salary of an accountant is ₱24,620 per month in the Philippines.Ho: ________________ Ha: __________________ _______-tailed test2. A normal smartphone battery manufacturer claims that the mean life of a certain type of battery is morethan 650 hours.Ho: ________________ Ha: __________________ _______-tailed test3. According to an international shipping company, a package from US can arrive in Manila in an averageof less than 8 business days.Ho: ________________ Ha: _________________ _______- tailed test4. The average price of a certain type of car is greater than ₱600,000.Ho: _________________ Ha: _________________ _______- tailed test5. A research organization reports that the mean of adult grocery shoppers who never buy the store brandin Metro Manila is 300.Ho: _________________ Ha: _________________ _______- tailed test
In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.032. The sample size is 35. The p-value for this test is
In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test isQuestion 8Select one:a.0.4938b.-1.25c.0.0062d.0.0124
Suppose we are interested in whether travelers departing to Bali have spent researching potential health risks. Let the population proportion be denoted by p and assume we are interested in testing whether there is evidence that more than 40% of travelers have researched potential health risks.Which of the following represents the correct set of hypotheses for this 1-tailed test?a.H0: p = 0.4H1: p > 0.4b.H0: = 0.4H1: < 0.4c.H0: = 0.4H1: > 0.4d.H0: p = 0.4H1: p < 0.4
What would be the p-value for this test if you consider it a two-tailed test?0.00550.0110.0220.044
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