Question 3 Mr. Mape is currently conducting a study which aims to determine the effectiveness of cooperative grouping as a strategy in Not yet answered improving the mathematics performance of Grade 11 students. Twenty students were included in the experimental group while 20 students also were included in the control group. The mean achievement score of the students in the experimental Marked out of 1.00 group was 82.5 with a standard deviation of 3 while the mean of the students in the control group was 80 with a standard deviation of 6. The two groups come from normally distributed populations. The confidence level adopted was 95%. What is P Flag question the estimate of the population mean where the control group comes from? Select one: O a. 77.02, 88.22 O b. NO ANSWER O c. 77.20, 82.88 O d. 77.02, 88.20 O e. 77.20, 82.80 Question 4 What is the value resulting from subtracting the maximum error from the sample mean? Not yet answered Marked out of 1.00 Select one: P Flag O a. question Lower estimate of the interval estimate O b. NO ANSWER O c. Interval estimate O d. Point estimate O e. Upper estimate of the interval estimate uestion 5 Mrs. De Laza, the principal of an exclusive school in Batanes wants to know the average annual income of her teachers. of yet iswered Based on the previous study, it was determined that the standard deviation of the salaries is P900.00. How large must be the sample should she select if she wants to be 95% confident of finding whether the true mean differs from the sample mean by larked out of P350.00? 00 Flag Jestion Select one: O a. 26 teachers O b. NO ANSWER O c. 24 teachers O d. 25 teachers O e. 27 teachersQuestion 7 Find the t-value of 2.5th percentile using the t-table with a degree of freedom of 6. Not yet answered Marked out of 1.00 Select one: P Flag O a. 2.447 question O b. 4.030 O c. NO ANSWER O d. -4.030 O e. -2.447 Question 8 Using the t-table, give the t-value of 95th percentile? Not yet answered Marked out of 1.00 Select one: P Flag a. NO ANSWER question O b. 1.551 O c. 1.860 O d. 1.456 O e. 1.612 Question 9 What is the right-tailed area if the confidence level is 75%? Not yet answered Marked out of 1.00 Select one: P Flag a. 0.005 question O b. 0.25 O c. 0.10 O d. 0.05Question 10 Which of the following is NOT true about the Student's t distribution? Not yet answered Select one: Marked out of 1.00 O a. P Flag It is used to construct confidence intervals for the population mean when the population standard deviation is known. question O b. It is bell-shaped and symmetrical. O c. It has more area in the tails and less in the center than does the normal distribution. O d. NO ANSWER O e. As the number of degrees of freedom increases, the t-distribution approaches the normal distribution. Question 1 Mr. Mape is currently conducting a study which aims to determine the effectiveness of cooperative grouping as a strategy in Not yet answered improving the mathematics performance of Grade 11 students. Twenty students were included in the experimental group while 20 students also were included in the control group. The mean achievement score of the students in the experimental Marked out of 1.00 group was 82.5 with a standard deviation of 3 while the mean of the students in the control group was 80 with a standard deviation of 6. The two groups come from normally distributed populations. The confidence level adopted was 95%. What is P Flag question the estimate of the population mean where the experimental group comes from? Select one: O a. NO ANSWER O b. 80.01, 83.99 O c. 81.10, 83.90 O d. 81.01, 83.91 O e. 80.10, 83.09 Question 2 A recent survey conducted by a telecommunications company aims to determine the average length of call (in minutes) per Not yet answered month. The researcher in charge surveyed 25 Filipinos at random and found the average length of call they consume per month is 62 with a standard deviation of 4. What is the estimation of the 90% confidence interval of the average length of call Marked out of 1.00 (in minutes) per month? P Flag question Select one: O a. 60.36, 63.97 O b. 36.60, 63.79 O c. NO ANSWER O d. 36.06, 63.73 O e. 60.63, 63.37Question 1 This refers to the maximum number of logically independent values, which vary in the data sample. Not yet answered Marked out of 1.00 Select one: P Flag O a. Probability question O b. Level of significance O c. Degree of freedom O d. Percentiles O e. NO ANSWER Question 2 What will be the degree of freedom of the data whose sample size is 18? Not yet answered Marked out of 1.00 Select one: Flag O a. 19 question O b. 20 O C. NO ANSWER O d. 17 O e. 18 Question 3 The t-distribution Not yet answered Marked out of 1.00 Select one: P Flag O a. question assumes the population is normally distributed b. ALL options except "NO ANSWER" O c. approaches the normal distribution as the sample size increases O d. NO ANSWER O e. has more area in the tails than does the normal distribution.Question 4 There are 9 students who will be taking up the test, the researcher sets the level of significance to 0.05. The following are the Not yet answered scores of the nine students: 23, 25, 25, 26, 27, 28, 30, 40, 45. What will be the t-value of the given problem? Marked out of 1.00 P Flag Select one: question O a. NO ANSWER O b. 1.729 O C. 1.456 O d. 1.612 O e. 1.860 Question 5 This refers to the measure of position with data divided into 100 parts. Not yet answered Marked out of 1.00 Select one: P Flag O a. Quartiles question O b. Percentiles O C. NO ANSWER O d. Median O e. Deciles Question 6 Which of the following is NOT a characteristic of t-distribution? Not yet answered Marked out of 1.00 Select one: P Flag a. Like a standard normal distribution (or z-distribution), the t-distribution has a mean of one. question O b. The normal distribution assumes that the population standard deviation is known. The t-distribution does not make this assumption. C. NO ANSWER O d. Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same. e. Like the normal distribution, the t-distribution has a smooth shape.luestion 9 What is the effect of the level of confidence on the confidence interval? lot yet nswered farked out of UU Select one: Flag O a. uestion The lower the level of confidence, the narrower the interval estimate that contains the true population value. O b. The lower the level of confidence, the wider the interval estimate that contains the true population value. O c. The higher the level of confidence, the wider the interval estimate that contains the true population value. O d. The higher the level of confidence, the narrower the interval estimate that contains the true population value. O e. NO ANSWER Question 10 The standard deviation of the life expectancy of LED light bulbs is estimated to be 5 days. How many light bulbs must be Not yet answered tested in order to be 99% confident that the error of estimate will not exceed two days? Marked out of 1.00 P Flag Select one: question O a. NO ANSWER O b. 40 light bulbs O c. 42 light bulbs O d. 41 light bulbs O e. 39 light bulbsuestion 6 In a certain barangay in the province of Kalinga, Gandara wants to estimate the mean weight, in kilograms, of all eight-year ot ye swered old children to be included in a feeding program. She wants to be 99% confident that the estimate of the population mean is accurate to within 0.06 kg. Suppose from the previous study, the standard deviation of the weights of the target population arked out of 00 was 0.5 kg, what should the sample size be? Flag Jestion Select one: O a. 466 eight-year old children O b. 464 eight-year old children O c. NO ANSWER O d. 463 eight-year old children O e. 465 eight-year old children Question 7 Milktehh Company is a candy company in the province of Cagayan. The said company wants to estimate a random sampling Not yet answered of packages, with a number of candy pieces per package. Inspectors randomly sampled 120 packages of this candy and Marked out of counted the number of pieces in each package. They found that the sample mean number of pieces is 18.72. Assuming a 1.00 population standard deviation of 0.8735, what is the 99% confidence interval estimate of the mean number of pieces per package for the population? Flag question Select one: O a. 15.51, 18.88 O b. 18.15, 18.39 O c. 15.15, 18.88 O d. 18.51, 18.93 O e. NO ANSWER Question 8 Sandra Uganda is a professor from the University of Ohio. She wants to estimate the number of hours that 5-year old children Not ye answered spend watching television. A sample of 50 five-year old children was observed to have a mean viewing time of 3 hours. The Marked out of population is normally distributed with a population standard deviation of 0.5 hours. What is the 95% confidence interval of 1.00 the population mean? Flag question Select one: O a. 6.82, 8.41 O b. 2.86, 3.14 O c. 2.68, 3.41 O d. NO ANSWER O e. 6.28, 8.14