
NAT 2023 Reviewer
QuizĀ by RODOLFO MANACHO
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It is a variable being measured to produce numerical observations associated with the random outcomes of a chance experiment.
Which of the following is a discrete random variable?
What are the possible values of a random variable when a coin is tossed once?
Which is a discrete probability distribution?
A fair coin is tossed three times and the sequence of heads (H) and tails (T) isobserved. What is the probability that no heads will appear?
The expected value of a random variable is the _________.
Cardo sells a maximum of 3 tickets per customer.Ā Let T be the number of tickets sold to a random customer.Ā Which probability value would satisfy the given probability distribution? Below is the probability distribution of T.
What is the mean and variance of the probability distribution?
What is the variance of the probability distribution?
What would be the best interpretation you can create given the mean of the probabilitydistribution?
What is the first step in finding the variance of a discrete probability distribution?
Which statement is NOT true about the variance of a discrete random variable?
A local club plans to investP10,000 to host a basketball game. They expect to sell tickets worth P15,000. But if it rains on the day of the game, they won't sell any tickets, and the club will lose all the money invested. If the weather forecast for the day of the game is 20% possibility of rain, is this a good investment?
Which of the following is NOT a property of a normal curve?
The area under the part of normal curve in the standard normal distribution that lies within 2 standard deviations of the mean is ____?
A set of Mathematics exam scores has a mean of 68 and a standard deviation of 8. Aset of English exam scores has a mean of 75 and a standard deviation of10.Ā For which exam would a score of 78 have a higher standing?
What is āP(a<x<b)ā?
Evaluate the score of the student in a biology test where the equivalent z-score is 0.98. The mean of the test was 88 with a standard deviation of 9.5.
The midterm examination scores in Statistics and Probability follows a normal distribution with mean of 38 and a standard deviation of 2. If Felix is included in the top 5%, what minimum score should Felix have?
Which of the following illustrates a systematic sampling method?
A randomly selected sample of 400 students at auniversity with 15-week semesters was asked whether or not they think these mester should be shortened to 14 weeks (with longer classes). Forty-sixpercent (46%) of the 400 students surveyed answered "yes." Which one of the following statements about the number 46% is correct?
What do you call a portion or representative of population?
A randomly selected 400 students out of 9000 students at a university with15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent (46%) of the 400 students surveyed answered "yes." What is the sample?
Which of following is true aboutthe mean of the sample means?
For items 25-26.
Below are thescores of 8 Grade 11 students in Statistics quiz.
7, 8, 12, 15, 10, 11,9, 14
What is the mean of the sample means of size3?
What is the variance of the sample means of size 3 if the population variance is 6.9375?
What is true about the standarderror of the mean?
What distribution is used to estimate population parameters when the population variance is unknown, and the sample size is less than 30?
Given µ =10, Ļ = 3 and n = 40. Which of the following distribution of the sample mean for a normal population when the population variance is known?
A history teacher claims that the average height of Filipino males is 163 centimeters. A student taking up statistics randomly select 10 Filipino males and measure their heights. Their heights in centimeter are 163, 167, 159, 165, 162, 164, 163, 160, 169 and 174. To test the claim, which test is appropriate?
Which of the following states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger?
What happen to the histogram of the sample meansof the random samples in Central Limit Theorem, as nāā?
The record of weights of the male population follows the normal distribution. Its mean and standard deviation are 70 kg and 15 kg respectively. If a researcher considers the records of 50 males, what would be its standard deviation?
Which concept of random sampling distribution of the sample means using Central Limit Theorem?
What is the estimate, if sample size of random sampling using Central Limit Theoremis almost normal in accordance to Statisticians?
35.Ā Ā How do you compare the formulaĀ Ā
Which is NOT a correct statement?
Human gestation length is said tobe normally distributed with a mean of 266 days and a standard deviation of 16days. Suppose 64 pregnancies are randomly selected. What is the probability that the average gestation length is between 262 and 270 days?
Formulate the steps to solve problems involving sampling distribution of the sample mean.
I- Write the formula: see image
II- Solve z.
III- Look for theP(z) in the Standard Normal Distribution Table
IV- Substitute the values of theterms in the formula.
Given a set of data, which of the following refers to number of independent observations that are freeto vary after a sample statistic has been computed?
The following are common properties of z-distribution and t-distribution, except:
The following are characteristics of t-distribution except
Which of the following t is thet-value when µ= 127, š„Ģ =120, s=14 and n=18?
In a t-distribution, if the sample size is 15, what is the degree of freedom?
What percentile of the t-distribution does 2.500 belong if the sample size is 24?
Which of the following is the length of the interval between 45.5 and 60?
The mean gasoline consumption of 15 cars is 38 liters with a standard deviation of2 liters. Using a 95% confidence level, how long is the interval of the sample mean?
What is the needed sample size if the margin of error is 0.8 and the standard deviation is 8 with a 95% confidence level?
Ā A researcher found that the mean score of Grade 9 students in the Math exam is normally distributed with a mean of 82 and a standard deviation of 2.5. The margin of error was known to be 0.65 at a 99% confidence level. How large a sample must be?
Predict the length of the confidence interval and the sample size as the confidence level increases.