10. Which of the following formula is used to convert scores and values into standard value when dealing with samples drawn from the population? a. z = *-H b. z = X-H c. both d. none of these Sil PERFORMANCE TASK Direction: Perform by answering the worksheet provided with problem set to solve probability distribution of the sample means. A rubric is provided to score your accomplishe task.Directions: Choose the letter that corresponds to the correct answer. Write your answers on your answer sheet. 1. Which of the following statements is correct? a. The mean of the sampling distribution of the means is less than the population mean. b. The mean of the sampling distribution of the sample means is greater than the population mean. c. The means of the samples drawn from a population are always equal to the population mean. d. The means of the samples drawn from a population may be equal. Greater than or less than the population mean. 2. A certain population has a mean of 12.5 and a standard deviation of 4.7. If the random samples of size 7 is taken from this population, which of the following statements is correct? a. The mean of the sampling distribution of the sample means is equal to 12.5. b. The mean of the sampling distribution of the sample means is less than 12.5. c. The standard deviation of the sampling distribution of the sample means is 4.7 d. The standard deviation of the sampling distribution of the sample means is 15.4. 3. What is the shape of the sampling distribution of the means if random samples of size n become larger? a. left skewed b. right skewed c. normal d. rectangular 4. Which sample size will give a smaller standard error of the mean? a. 15 b. 24 c. 32 7olah d. 40For numbers 5 - 8. refer to the problem below. A population of 17-year old Senior High School students has a mean grade of 89 in Statistics and Probability with a standard deviation of 5. Assume that the variable is normally distributed if 20 randomly selected students are taken, what is the probability that their mean grade will be less than 87? a. 0.0267 b. 0.0367 C. 0.0467 d. 0.0567 6. IT 50 students were randomly selected, what percentage that their mean grade will exceed 90? a. 7.93% b. 6.93% C. 5.93% d. 4.93% 7. What is the probability of the students to have an average grade between 88 and 91? a. 0.0793 b. 0.1554 C. 0.0761 d. 0.2347 8. Which of following is the correct standard normal curve for number 5 question? 2=-1.79 z=-1.79 C 1= 1.70 2 = 1.79 9. Which of the following used z score formula for infinite population? d. none of these c. both b. z = a. z = X-M