C File | C:/Users/Admin/Desktop/jerome%202%20sem/FLK%20GRADE%2011%20-%20Statistics%20and%20Probability%20(1).pdf of 111 Q +|[ Page view | A Read aloud | (T) Add text | V Draw Highlight B. Yes, because the sample standard deviation is small, and variance is unknown. C. No, because the population standard deviation is greater than the sample standard deviation. D. No, because the sample size is too small for the given sample standard deviation. 12. Which property of t-distribution is NOT a property of normal distribution? A. The t-distribution curve is bell-shaped. B. The t-distribution curve is symmetrical about zero. C. In t distribution, the variance is always greater than 1. D. The total area under the t distribution curve equal to 1. 13. The following statements tell about the t-distribution EXCEPT A. The standard deviation of the t-distribution is equal to 1. C. The distribution has thicker tails than the normal distribution. D. The exact shape of a t-distribution depends on the degrees of freedom. B. As the degrees of freedom increase, the t-distribution tends to normal distribution. 14. Which of the following probability distribution curves has the lowest peak? A. the standard normal distribution B. a t-distribution with 5 degrees of freedom C. a t-distribution with 7 degrees of freedom D. a t-distribution with 9 degrees of freedom 15. Which of the following probability distribution curves has the thickest tails? A. a t-distribution with 25 degrees of freedom B. a t-distribution with 23 degrees of freedom C. a t-distribution with 21 degrees of freedom D. a t-distribution with 19 degrees of freedom Adapted from/excerpt Department of Education - Commons (deped gov ph) Page 108 of 111of 111 Q + [Page view A Read aloud [T) Add text | V Draw Highli For numbers 9 to 11, The principal of Mapayapa Integrated National High School claimed that the average salary of their teachers is P24, 000 per month. A random sample of 15 teachers in the school has a mean of P23, 220, and a standard deviation of P400. 9. Identify the population mean. A. P24.000 B. P23,220 C. P400 D. 15 10. Identify the sample mean. A. P24.000 B. P23/820 C. P400 D. 15 1 1. In testing the principal's claim, can we use the t-distribution? A. Yes, because the population standard deviation is unknown, and the sample size is small B. Yes. because the sample standa deviation in small, and variance is unknown C. No. because the population greater than the sample standard deviation. D. No. because the samples given sample standard deviation 12. Which property of t distribution is NOT a property of normal distribution? A The t-distribution curve is bell-shaped. B. The t-distribution curve is symmetrical about zero C. Int distribution. the variance is always greater than I D The tothl hren under the t distribution curve equal to I 13. The following statements tell about the t-distribunon EXCEPT A The standard deviation of the distribution is equal to I. The t-distribution has thicker tails than the normal distribution. D. The exact oliape of a t distribution depends on the degrees of freedom B As the degree of freedom increase, the 1 distribution tends to normal Butfilmtion Type here to search11-Arcs and Central Anglespat x+ GRADE 11 - Statistics and Pr X pelinternet > status X @ File | C:/Users/Admin/Desktop/jerome%202%%20sem/FLK%20GRADE%201 1%20-%20Statistics%20and%20Probability%20(1).pdf of 111 Q - + Page view | A Read aloud | (T) Add text | V Draw ~ Highlight A. The t-distribution has a lower peak. B. The t-distribution is centered at 0. C. The t-distribution is symmetric in the middle. D. The t-distribution has tails that asymptotic to the horizontal axis 6. When do we use t-distribution instead of normal distribution? A. If the sample variance is unknown B. If the population variance is known C. When the sample size is considered small. D. When the sample size is sufficiently large. 7, In the estimation of a parameter using the t-distribution, is it possible to replace the population standard deviation, a by the sample standard deviation, s? A. No. because the given sample size is small B. No, because o and s differ by a significant amount C. Yes, because o is unknown and s is a good estimator of a. D. Yes, because o is equal to s when we are estimating parameters 8. What will be the effect on the t distribution curve when we replace a by s? A. The t-distribution curve will become bell-shaped. B. The t-distribution curve will be symmetrical to zero. C. The t-distribution curve will be the same as the normal curve. D. The t distribution curve will have a lower peak and thicker tails. Page 107 of 111C File | C:/Users/Admin/Desktop/jerome%202%20sem/FLK%20GRADE%201 1%20-%20Statistics%20and%20Probability%20(1).pdf 107 of 111 Q - + | Page view | A Read aloud | (T) Add text | V Draw . Highlight DIRECTIONS: Encircle the letter of the best answer. 1. It is the probability distribution used when the population variance is unknown and/or if the sample size is small. A. chi distribution B. z-distribution C. t-distribution D. p-distribution 2. The t-distribution was developed by W.S. Gosset in 1908. Why was it called "Student's t-distribution"? A. because it was first introduced to senior high school students in 1908 B. because he was still a college student when he first introduces the t-distribution C. because he used the pen name "Student" when he introduces his paper about the t distribution D. because he used the students as samples in his study about the t-distribution 3. When do we consider that the sample size is small? A. when it is less than 30 B. when it is between 20 to 40 C. when it is greater than 25 but less than 40 D. when it is only 1% of the total population 4. In Student's t-distribution, what is the sample size if the degree of freedom is 25? A. 5 B. 24 C. 25 D. 26 5. What is the difference between the normal distribution and the t-distribution? A. The t-distribution has a lower peak. B. The t-distribution is centered at 0. C. The t-distribution is symmetric in the middle. D. The t-distribution has tails that asymptotic to the horizontal axis 6. When do we use t-distribution instead of normal distribution? A If the sample variance is unknown B. If the population variance is known Type here to search 29"C Mostly clear