About 25 randomly selected people were asked how long they slept at night. The mean timewas 6 hours, and the standard deviation was 1 hour. Calculate the 98% confidence interval ofthe mean time by assuming that the variable is normally distributed. Provide only the valuerequired below. Express your answer in 3 decimal places.a. tą (positive value only): Find the te value for a 90% confidence interval when the sample size is 16.a. tę (negative value only):

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Answered: About 25 randomly selected people were…

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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Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P61, the 61-percentile. This is the temperature reading separating the bottom 61% from the top 39%. P61 = °C Submit Question
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P80, the 80-percentile. This is the temperature reading separating the bottom 80% from the top 20%.P80 = °C
Assume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 20.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)
Find SAT Quartiles. SAT scores are reported on a scale from 600 to 2400. The mean is 1498 and the standard deviation is 316. The quartiles of any distribution are the values with cumulative proportions 0.25, and 0.75. What are the quartiles of the distribution of SAT scores?
Suppose you buy a new car whose advertised mileage is 20 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 16.5 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.02 mpg. a. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas mileage? Question content area bottom Part 1 a. z=enter your response here (Round to two decimal places as needed.)
Let X de a normally distributed variable with a population standard deviation = 43. A research believe that the standard deviation should increase when a new variable is manipulated. To test their claim, the research collects a sample of size n = 19 and finds a sample statistic of 8 = 53. Use the x²-table to find the largest value that the corresponding P-value can be. Type your answer...
The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.
Use z scores to compare the given values. The tallest living man at one time had a height of 256cm. The shortest living man at that time had a height of 114.6 cm. Heights of men at that time had a mean of 174.87 cm and a standard deviation of 7.57 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=____ and the z score for the shortest man is z=_____, the (Shortest/tallest) man had the height that was more extreme. (Round to two decimal places.)
The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find Pg9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 = °C
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 %3D
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P42, the 42-percentile. This is the temperature reading separating the bottom 42% from the top 58%. P42 = °C

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