In a random sample of seven people, the mean driving distance to work was 20.2 miles and the standard deviation was 4.6 miles. Assume thepopulation is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μµ.Interpret the results.Identify the margin of error.(Rolsquare milesmiles per hourmiless needed.)

Here, the sample size is 7, the mean driving distance to work is 20.2 miles and the standard…

Answered: In a random sample of seven people, the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A. What percentage of students in the sample had a GPA above 3.39? B. Sketch a box plot for this data, don’t worry about identifying fences/outliers. Indicate where each number in the five number summary is on the boxplot C. Calculate the upper fence for this data set D. An appropriate equation to describe the standard deviation of this dataset is X= 0.709 or u= 0.709 or s= 0.709. Or o= 0.709
The relationship between birth weight and IQ were studied. 258 subjects with extremely low birth weights had Wechsler IQ scores at age 8 with a mean of 95.5 and a standard deviation of 16.0. For 220 individuals with normal birth weights, the mean at age 8 is 104.9 and the standard deviation is 13.8. Assume that the standard deviations are different, and determine if IQ score appears to be affected by birth weight. Use a = 0.1. 2a. b. Compute a 95% confidence interval on the difference between the means.
The mean score on a driving exam for a group of driver's education students is 76 points, with a standard deviation of 5 points. Apply Chebychev's Theorem to the data using k = 2. Interpret the results. At least % of the exam scores fall between and. (Simplify your answers.)
A group of students takes the Kaplan course in hopes that it will improve their SAT scores on the math section above the national mean of 500. The population standard deviation of the SAT is known to be 100. The sample mean for the 215 students was 543.53. Calculate the observed z score for the sample.
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.8 Mbps. The complete list of 50 data speeds has a mean of x= 16.56 Mbps. And a standard deviation of s= 35.08 Mbps. Convert the carriers highest data speed to a z score
The regression line for a set of data will have little meaning unless: Select one: a. the correlation coefficient is significant. b. the slope of the regression line is zero. c. the standard deviation of errors is zero. d. there are at least 30 data points chosen.
In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. -..-- a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and Hą? Ho:µ+37 O A. Ha: H= 37 Ho: µ> 37 O B. Ha: us 37 Ho: μ237 OC. Haiu 37 Ho: H = 37 Hạ: H#37 Find the test statistic. t= - 0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p= 0.702 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. A. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a…
For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse J-shape. The mean number of siblings is 1.3 and the standard deviation is 1.5. Let x denote the mean number of siblings for a random sample of size 32. Determine whether the distribution of x is normal or approximately normal and find its mean and standard deviation.
Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.
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Use the following information for the question. The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.Which of these statements is asking for a measurement (i. e. is an inverse normal question)? A.What percentage of people living and working in Kokomo have a travel time to work that is between thirteen and fifteen minutes? B.If 15% of people living and working in Kokomo have travel time to work that is below a certain number of minutes, how many minutes would that be?

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