
Regional Diagnostic Assessment Statistics and Probability
QuizΒ by alejandromallari@deped.gov.ph
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A variable that allows for an endless number of possible values for the information or data
Of the following, which is a discrete random variable?
You make the decision to gather several Coke cans and gauge the amount of soda contained in each one. Assume that there are x sodas in each can. X is what kind of variable?
You've decided to order a pizza, but first you must select the toppings and type of dough. Which of the following should you pick if there are only 6 viable pizza ordering combinations?
What are the potential values of the random variable for the number of tails if a coin is tossed?
What is the total probability of all possible random variable values?
If P(X)= π₯/6, what are the possible values of X for it to be a probability distribution?
The given table represents a probability distribution. What is P(1) + P(4)?
What is the correct procedure to follow to calculate the standard deviation if the variance of a probability distribution is 2.6 grams?
What formula should be applied to determine the expected value?
What can we get if we add up the values that each random variable was assigned, along with the appropriate probabilities?
Which of the following data demonstrates the potential for the greatest variety or variability?
Which of the following is NOT a variance property?
Which of the following is the correct formula to find the expected value of the probability distribution?
What is the probability distribution's mean or anticipated value?
The area under the normal distribution that is within three standard deviations of the mean according to the empirical rule is around
Find the area under the standard normal curve between z = -2.5 and z = 1.5.
How can you describe this graph?
The average speed of cars traveling on expressways is 80 km/h, while the standard deviation is 8 km/h. What was Jessie's velocity if his z-score was 2.5?
The Senior High enrollment age range at Sta. Catalina National High School have a mean age of 17 and a standard deviation of 2.5 years, which is regularly distributed. What is the likelihood that a student chosen at random will be under the age of 16?
You will question the frontline medical staff if you want to know how the COVID-19 has affected Filipinos. Which sampling technique will you employ?
What do you name a number that specifies a representative quality?
Which of the following steps DOES NOT contribute to the creation of the sampling distribution of the sample mean?
Which of the following best describes the ratio between the variance in the population and the sample size n?
There are 1, 9, 2, 12, 8, 7, and 10 people in a population. Let's say five-person samples are taken from this population. This instance serves as an illustration of the sampling distribution of the sample mean for a normal population with variance.
What does the Central Limit Theorem state?
The average value for a population is 50, and the standard deviation is 6. What is the sample distribution of the mean for n = 16? What is the mean and standard deviation?
If the sample size is limited or there is no population variance, what sampling method is being applied?
What is the 95th percentile of the t-distribution if the sample size is 15?
What is the critical value of having a 95% confidence level?
When is a Type I error committed?
An education official wants to estimate the proportion of adults aged 18 and above who had read at least one book during the previous year. A random sample of 1,006 adults aged 18 or older is obtained, and 835 of those adults had read at least one book during the previous year. Determine the parameter in the situation.
What is the alternative hypothesis in the following statement? βThe number of defective batteries produced by the company is not equal to 15 batteries a day as claimed by the manager.β
Based on Central Limit Theorem, the z-test for single sample may be used when all the following conditions are TRUE except .
Based on the graph, which of the following is TRUE?
Milky Milk is sold in packets with an advertised mean weight of 0.5kgs. The standard deviation is known to be 0.11 kilograms. A consumer group wishes to check the accuracy of the advertised mean and takes a sample of 36 packets finding an average weight of 0.47kgs. What test statistic should be used?
On the given figure below, the t-computed value is 1.217. What conclusion can be drawn?
In the hypothesis testing procedure, drawing conclusion should always be the step.
Perform a hypothesis test where the null hypothesis is that the ΞΌ = 6.9. A random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation is 2.4. It can be assumed that the population is normally distributed at Ξ± = 0.05.
Before the opening of classes, parents were asked to answer a survey. Those in favor of alternative learning mode were 1,900 out of 5,000 randomly selected parents. Using Ξ± = 0.10 level, is there enough evidence to conclude that the percentage of parents who are in favor of alternative learning mode is less than 38%? What is the appropriate alternative hypothesis?
In a study about household income conducted in a small town, it was found out that 7% of all families in the town earn less than P4,000 per month. Out of 64 families who were randomly selected, 10 families earn less than P4,000 per month. Is the sample large enough to use the Central Limit Theorem?
Given the normal curve at the right, what is the rejection region?
Given a left-tailed test, population standard deviation is unknown, π=27, πΌ=0.01, what is the critical value?
The mean height of women is less than 64" (inches). Which of the following represents the null and alternative hypotheses?
In symbols, what is the parameter in the given claim below?In 2018, DepEd reported that the proportion of Grade 10 completers who proceeded to Grade 11 is 93%.
Which directional test is illustrated in the given problem below?In a recent survey, the average amount of money students have in their wallet is β±200.00 with standard deviation of 45. A teacher feels that the average amount is lower. She surveyed 80 randomly selected students and found that the average amount is β±35.
Given: π»π: ΞΌ = 7.25 π»π: ΞΌ < 7.25 The study has a sample mean of 8.1 and a standard deviation of 1.18 conducted among 15 respondents. Use πΌ = 0.01. What is the computed value?
Which is the correct null hypothesis of the given statement? βAccording to the owner, an
average of 500 people buys foods at McDonalds during breakfast and lunch hours.β
A tire manufacturer claims that its tires have a mean life of 40,000 kms. A random sample of 46 of these tires is tested and the sample mean is 38,000 kms. Assume that the populations standard deviation is 2,000 kms and the lives of tires are approximately normally distributed. What is the computed value at 5% level of significance?
What term is being used to describe a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable?