A group of researchers wants to test the truth in the company's claim that the travel time from Magallanes to Manila takes an average of two hours. What are the possible Type I and Type II errors?

Type I error will occur if the actual average travel time is two hours by Ho is rejected. Type II error will occur if the actual average travel time is not two hours but Ho is not rejected.

A left-tailed test with 1% level of significance has a z-critical value of -2.33. What is the appropriate decision rule?

Reject Ho if the calculated test statistic z-value is less than -2.33.

Which of the following is not included in the hypothesis testing procedure? Compute the test statistic. Decide whether to reject the null hypothesis. Select a level of significance for Beta. State the null and alternative hypothesis.

Select a level of significance for Beta.

At 5% level of significance, what is the appropriate decision rule for a soft drink vending machine that dispenses an average of 200 mL but has a sample mean of 195 mL from 35 cups? Options: Reject Ho if the test value is less than -1.96 or is greater than 1.96. Do not reject Ho if the test value is equal to -1.96. Reject Ho if the test value is greater than -1.96 or is less than 1.96. Do not reject Ho if the test value is equal to 1.96.

Reject Ho if the test value is less than -1.96 or is greater than 1.96.

If you are using a t-test statistic in hypothesis testing, what must be assumed about the distribution of the data?

Normally or approximately normally distributed

What formula for test statistic is appropriate to use if the sample size is greater than or equal to 30 and the population standard deviation is unknown?

Use the t-distribution formula.

A normally distributed standardized English test has a mean score of 73 and a standard deviation of 10. Given to 40 sophomore students, the class mean is 76. At 1% level of significance, test if the population average is not 73.

There is sufficient evidence to claim that, at 1% level.of significance, the mean score of the population is 73.

A laptop manufacturer claims that the latest model of laptop will last an average of 10 hours under normal use. A researcher randomly selects 25 laptops of the latest model from the company and tested these laptops. The selected laptops have a mean lifespan of 8.5 hours and a standard deviation of 3.7 hours. Does the company have enough evidence that their claim is true at 1% level of significance?

There is sufficient evidence to claim that the latest laptop model will last an average of 10 hours under normal use.

Assume the null hypothesis states that the mean is at most 20. A sample size of 25 with mean and standard deviation equal to 22 and 5.35 respectively, is taken from the population. Using 0.10 level of significance, what is the critical value and the probability of the rejection region?

The critical value is -1.318 and the probability of the rejection region is 0.10.

The p-value in hypothesis testing represents which of the following: The probability of failing to reject the null hypothesis, given the observed results. The probability that the null hypothesis is true, given the observed results. The probability that the obsereved results are statistically significant, given the null hypothesis is true. The probability of observing results as extteme or more extreme than currently observed, given that the null hypothesis is true.

The probability of observing results as extteme or more extreme than currently observed, given that the null hypothesis is true.

A result is "statistically significant" whenever

The p-value is less than or equal to the significance level.

One problem with hypothesis testing is that a real effect may not be detected. This problem is most likely to occur when: The effect is small and the sample size is small.

The effect is small and the sample size is small.

Which of the following statements about the Central Limit Theorem is correct? Options: The CLT states that the sample mean is always equal to the population mean. The CLT states that the samoling distribution of the sample mean is approximately normal for large sample sizes n > 30. The CLT states that the sample mean is equal to the population mean, provided that n > 30. The CLT states that the sampling distribution of the population mean is approximately normal, provided that n > 30.

The CLT states that the samoling distribution of the sample mean is approximately normal for large sample sizes n > 30.

A house cleaning service claims that it can clean a four-bedroom house in less than 2 hours. A sample of n = 36 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours. Using a 0.05 level of significance, the conclusion is:

Reject the null because the test statistic (-1.8) is

A hypothesis test is done in which the alternative hypothesis is more than 10% of a population is left handed. The p-value for the test is calculated to be 0.25. Which statement is correct?

We cannot conclude that more than 10% of the population is left-handed.

Which of the following is not true about the hypothesis tests? Hypothesis test are only valid when the sample is representative of the population for the question of interest., Hypotheses arr statements about the population represented by the samples., Hypotheses are statements about the sample (or samples) from the population., Conclusions are statements about the population represented by the samples.

Hypotheses are statements about the sample (or samples) from the population.

Which Chi Square distribution looks the most like a normal distribution? Options: A Chi Square distribution with 4 degrees of freedom, A Chi Square distribution with 8 degrees of freedom, A Chi Square distribution with 12 degrees of freedom, A Chi Square distribution with 16 degrees of freedom.

A Chi Square distribution with 16 degrees of freedom.

What type of test is to be used in the hypothesis: the average monthly income of a domestic helper in the city of Dasmariñas is P8,000?

Two-tailed test will be used because the alternative hypothesis is non-directional. (= or not equal to)

Final Examination in Statistics and Probability

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Other

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11th Grade

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Practice Problem

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Hard

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FLASHCARD QUESTION

Front

The null and alternative hypothesis are statements about the significant difference between

Back

parameter and statistic

FLASHCARD QUESTION

Front

Which of the following does not describe an alternative hypothesis?
It is a hypothesis that has a statement of equality.
It is a hypothesis that has a statement of inequality.
It states a specific difference between a parameter and a statistic.
It states that there is a difference between a parameter and a statistic.

Back

It is a hypothesis that has a statement of inequality.

FLASHCARD QUESTION

Front

Which of the following does not describe a null hypothesis?
- It is denoted by Ho.
- It is the hypothesis to be tested.
- It has a statement of equality.
- It states a specific difference between a parameter and a statistic.

Back

It states a specific difference between a parameter and a statistic.

FLASHCARD QUESTION

Front

What does level of significance mean in a hypothesis testing?

Back

Probability of rejecting the null hypothesis when it is true

FLASHCARD QUESTION

Front

If the alternative hypothesis contains the symbol ">", where is the rejection region located?

Back

Right end tail region

FLASHCARD QUESTION

Front

A teacher claims that the mean math score of all grade 11 students is 90. Where is the rejection region located?

Back

Each end tail regions

FLASHCARD QUESTION

Front

What is the probability of rejecting the null hypothesis of a left-tailed test given the level of significance alpha=0.01?

Back

0.01

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