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.

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

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

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 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.

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

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

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

Which of the following is not included in the hypothesis testing procedure?

Select a level of significance for Beta.

Decide whether to reject the null hypothesis.

State the null and alternative hypothesis.

A soft drink vending machine is adjusted so thay on average, it will automatically dispense 200 mL into a paper cup however, the actual dispensed is not exactly 200 mL. The operation manager obtains a sample of 35 cups of dispensed soda and the mean of his sample is 195 mL. The machine operates with a known standard deviation of 14 mL. At 5% level of significance, what isbyhe appropriate decision rule?

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 go 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 disttibuted

A normally distributed standardized English test is known to have a mean score of 73 and a standard deviation of 10. The test is given 40 sophomore students and the class mean is 76. Using 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.

There is no sufficient evidence to claim that, at 1% level of significance, the mean score is 76.

There is sufficient evidence to claim that, at 1% level of significance, the mean score is 76.

There is no sufficient evidence to claim that, at 1% level of significance, the mean score of the population is not 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.

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

There is sufficient evidence to claim that the latest laptop model will not last for 10 hours under normal use.

There is insufficient 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 critical value is -1.318 and the probability of the rejection region is 0.05.

The critical value is 1.318 and the probability of the rejection region is 0.05.

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: please select the best answer below.

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

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.

A result is "statistically significant" whenever

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

The alternative hypothesis is true.

The p-value is larger than the significance level.

One problem with the hypothesis testing is that a real effect may not be detected. The problem is most likely occur when

The effect is small and the sample size is small.

The effect is large and the sample size is small.

The effect ia small and the sample size is large.

The effect is large and the sample size is large.

Which of the following statements about the Central Limit Theorem is correct?

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 always equal to the population mean.

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.

A house cleaning service claims that it can clean a four-bedroom house is 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 < the critical value (-1.64).

Do not reject the null because the test statistic (-1.8) is < the critical value (-1.64).

Reject the null because the test statistic (-1.8) is > the critical value (-1.96).

Do not reject the null because the test statistic (-1.8) is > the critical value (-1.96).

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.

We can conclude that more than 10% of the population is left-handed.

We can conclude that more than 25% of the population is left-handed.

We can conclude that exactly 25% of the population is left-handed.

Which of the following is not true about the hypothesis tests?

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

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.

Conclusions are statements about the population represented by the samples.

Which Chi Square diatribution looks the most like a normal distribution?

A Chi Square distribution with 16 degrees of freedom.

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.

What typenof 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)

Right-tailed test will be used because the alternative hypothesis is directional. (>)

Left-tailed test will be used because the alternative hypothesis is directional. (<)

Right-tailed test will be used because the alternative hypothesis is directional. (<)

Which of the following is not a property of the sample correlation coefficient?

The sample correlation coefficient r is always between -1 and 1.

A positive value of r means a direct relationship between two variables.

A negative value of r meana an inverse relationship between two variables.

The closer the value of r to 1 or -1, the stronger the linear relationahip between two variables is.

Final Exam for Probability and Statistics

Authored by Barbara White

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11th Grade

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Final Exam for Probability and Statistics

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

parameter and statistic

parameter and sample size

population size and statistic

mean and standard deviation

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does level of significance mean in a hypothesis testing?

Probability of calculating the hypothesized mean

Probability of not rejecting the null hypothesis when it is false

Probability of not calculating the hypothesized mean

Probability of rejecting the null hypothesis when it is true

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Center region

Left end tail region

Right end tail region

Both end tail regions

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Center region

Left end tail region

Right end tail region

Each end tail regions

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

0.01

0.05

0.001

0.005

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Final Exam for Probability and Statistics

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

Which of the following does not describe an alternative hypothesis?

Which of the following does not describe a null hypothesis?

What does level of significance mean in a hypothesis testing?

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

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

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

Mr. Mojica claimed that his operators could finish their work in less than three hours. Which is the correct set of hypotheses to test his belief?

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?

What corresponding value will be calculated when the t-test statistic is computed?

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