The following are randomly selected scores in General Mathematics of ten Grade 11 students75816583807685707768A) Find the 98% confidence interval for the mean score of all the Grade 11 students, assuming that the students' score is approximately normally distributedB) Find the lower and upper confidence limit

Given the data 75 81 65 83 80 76 85 70 77 68 Sample size, n =10 Confidence interval = 98%…

Answered: The following are randomly selected…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 181 461 517 739 743 789 865 255 984 1357 419 441 1026 1063 1166 1369 1408 1455 1479 1063 924 1290 1191 1222 1222 1277 1519 1578 1578 1899 1926 1966 1603 1605 1696 1735 1799 1815 1852 807 1252 1599 (a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.] Yes, the range is sufficiently large enough for the confidence interval to be reasonable. No, we need to assume that the population is normally distributed. No, the sample size is not large enough for the confidence interval to be reasonable. Yes, the sample size is large enough for the confidence interval to be reasonable. No, the range is not large enough for the confidence interval to be reasonable. (b) Calculate and…
#9).
Example 5: Find a 90% confidence interval for the mean difference in the mileage obtained for tires with the new material and tires with the old material. Following are the paired differences (new minus old) for each of the 17 riders, chosen at random, who took part in the experiment: 50, 45, 50, 50, 100, 100, 100, -10, 75, -25, 0, 25, 75, 25, 50, 40, 35
Example 5: Find a 90% confidence interval for the mean difference in the mileage obtained for tires with the new material and tires with the old material. Following are the paired differences (new minus old) for each of the 17 riders, chosen at random, who took part in the experiment: 50, 45, 50, 50, 100, 100, 100, -10, 75, -25, 0, 25, 75, 25, 50, 40, 35
A researcher is interested in finding a 90% confidence interval for the mean number of times per day that college students text. The study included 97 students who averaged 25.5 texts per day. The standard deviation was 20.5 texts. Round answers to 3 decimal places where possible. b. With 90% confidence the population mean number of texts per day is between ______ and _______ texts. c. If many groups of 97 randomly selected members are studied, then a different confidence interval would be produced from each group. About _______ percent of these confidence intervals will contain the true population number of texts per day and about ___________ percent will not contain the true population mean number of texts per day.
A researcher is interested in finding a 98% confidence interval for the mean number of times per day that college students text. The study included 139 students who averaged 45.2 texts per day. The standard deviation was 19.2 texts. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a [v distribution. b. With 98% confidence the population mean number of texts per day is between and texts. C. If many groups of 139 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population number of texts per day and about percent will not contain the true population mean number of texts per day. Submit Question esc 000 D00 F1 F2 F3 F4 F5 F6 @ 2# 2$ 4 Q W E R
The test scores in a certain statistics class are normally distributed with a mean of 76 and a standard deviation of 5. a.) Use the Empirical Rule to estimate the percentage of students who scored between 66 and 86 points. b.) Compute the z-score for a test score of 79 points. a. 0.97 b. 0.6 C. -0.6 d. -0.97 c.) What proportion of the scores were below 79 points? a. 0.7257 b. 0.834 c. 0.2743 d. 0.166
The data set below represents the weights in grams of 10 randomly selected adult male fox squirrels from a forest. Assume the weights are normally distributed. 821 857 782 930 720 821 794 876 810 840 Find the sample mean and sample standard deviation Construct a 90% confidence interval for the population mean. Interpret the results from b.
A group of five friends are long-distance runners who will be running in an upcoming marathon. To prepare for the marathon, each of the friends recorded the number of miles they ran each week for 12 weeks. The results of the friends' training are shown in the data set provided below. Which of the friends was the most consistent with the number of miles run each week during the training? Hint: You should not need to compute the standard deviation for each friend. Ashton Caleb Jordan Kyle Noah 24 35 22 15 13 34 36 39 26 29 25 34 26 24 18 31 35 41 25 31 19 37 38 27 15 33 35 37 24 19 27 34 40 25 27 29 36 27 26 32 36 35 21 32 15 16 33 42 24 17 18 36 33 21 28 26 35 35 27 21
A researcher is interested in finding a 98% confidence interval for the mean number of times per day that college students text. The study included 99 students who averaged 32.3 texts per day. The standard deviation was 19.2 texts. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a t distribution. b. With 98% confidence the population mean number of texts per day is between and texts. c. If many groups of 99 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals percent will not will contain the true population number of texts per day and about contain the true population mean number of texts per day.
2. The travel time to their workplace of a random sample of workers from the central zone of the country is observed in the following frequency table: Minutes 15 - 27 27 39 39 51 51 63 63 75 Frequency 5 15 20 15 10 It is assumed that the travel times approximate a normal distribution. Calculate: a) A 90% confidence interval for the population average of travel times. b) A 90% confidence interval for the population standard deviation.
A survey of 100 businesses revealed that the mean after-tax profit was $80,000 and the standard deviation was $12,000. Determine the 99% confidence interval estimate of the mean after-tax profit. a. [77060, 82940] b. [76904, 83096] c. [76130, 83870] d. [77540, 82460] OO e. [78032, 81968]

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