1. Assume that the human body temperature has a mean of 98.6 as is commonly believed. Also assume that the population standard deviation is 0.62. a. If a sample of size n= 106 is randomly selected, find the probability of getting a mean temperature of 98.2 or lower. b. Suppose you took a random sample of 106 individuals and found their mean body temperature was in fact 98.2 Come up with at least two possible explanations for this seemingly rare event.

1. Assume that the human body temperature has a mean of 98.6 as is commonly believed. Also assume that the population standard deviation is 0.62. a. If a sample of size n= 106 is randomly selected, find the probability of getting a mean temperature of 98.2 or lower. b. Suppose you took a random sample of 106 individuals and found their mean body temperature was in fact 98.2 Come up with at least two possible explanations for this seemingly rare event.

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...

See similar textbooks

Related questions

Q: Suppose that you are interested in determining the average height of a person in a large city. You…

A: Solution: Given information: n= 400 Sample size x=63 inches Sample mean s= 6 inches Sample standard…

Q: A school psychologist is looking at assessment scores from the end of semester finals. She takes the…

A: (a) Step-by-step procedure to draw a curve for getting the probability of a sample mean of SEM=95…

Q: A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.38 lb, the…

A: A normal distribution is a distribution whose data follows a bell-shaped curve. The standardized…

Q: Mean women is 64.5" SD is 2.5" Normal is 64.5 -2.5 TO 64.5 + 2.5 What is low normal for women? What…

Q: last a. Find probability that the average amount of time required to make an oil change in the…

A: It is given asMean = 35.6Standard deviation = 7.5Sample size = 100

Q: Use the following data to answer the first two questions. The test scores for a sample of five…

Q: a class of 30 nursing students took a test worth 100 points. the standard deviation of the score was…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: weight of 10 persons needs to be greater than 190.29 xceed the weight of the elevator. (d) What is…

A: It is given that Mean, μ = 155 Standard deviation, σ = 29 Sample size, n = 16 Weight limit = 2500

Q: Carol-Anne is an environmental scientist studying the heights of red oak trees in a nearby marsh and…

A: It is given that the researcher randomly selected 10 red oak trees from each habitat and records the…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 254 cm.…

Q: 2. The mean afternoon temperature in Quezon City for the month of April is 37°C and the standard…

A: The normal distribution related problems can be solved by using the standard normal z score method…

Q: woman is told that the grades on a standardized statistics test are normally distributed with a mean…

A: Given: Sample mean (x¯) = 79 95% C.I. = (77, 81) n = 25

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: ng man

A: Given that Tallest living man height (X1) = 238 Mean Heightμ=176.25 Standard deviationσ = 6.32 Z…

Q: Twenty-one students were asked at random how much they spent for classroom textbooks this semester.…

A: It is given that: Margin of error(E)=7standard deviation(s)=28.70α=1-0.90=0.1α2=0.05 Sample size:…

Q: |(a) What are the null hypothesis Ho and the alternative hypothesis Hj that should be used for the…

A: Test is that whether the mean weight of babies is greater than 7.2 pound. The type I error is…

Q: 1. The average test score of entire school is 78 with standard deviation 10. A teacher took a random…

A: (1) Average or mean (μ) = 78 and standard deviation (σ) = 10 and sample size (n) = 75 Note:…

Q: A student learns that on his most recent exam in psychology, the sample mean was 72.19 with a…

Q: Use the following information for 15 through 20. A bag contains 6 balls with the following colors:…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: In a population, the mean is known to be 1.27 and the standard deviation is known to be 0.351.…

A: The population mean is 1.27; μ=1.27 The population standard deviation is 0.351;σ=0.351 The sample…

Q: Assume that the readings on the themometers are normally distributed with a mean of 0° and standard…

A: Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and…

Q: Problem: An administer claims that a particular test given to all college freshmen in the state has…

Q: However, a random sample of 30 US women has a mean height of 67 inches with standard deviation of…

A: The mean height of US women is at most =65 inchesThe random sample n=30standard deviation =6.2level…

Q: A population has a mean u=71 and a standard deviation a=20. Find the mean and standard deviation of…

Q: Imagine you select 30 males at random and find their mean height to be 5 ft 11 in. tall with a…

Q: A particular fruit's weights are normally distributed, with a mean of 696 grams and a standard…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 263 cm.…

Q: Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the…

A: As per company guidelines, I solved exactly three subparts of the question. Given data: 42, 41, 39,…

Q: Solve this for me

A: The objective of this question is to calculate the z-scores for the lengths of two sharks, Arturo…

Q: A college admissions office needs to compare scores of students who take the SAT vs ACT. The…

A: Given,For SATMean, μ1 = 896Standard deviation, σ1 = 174For ACTMean, μ2 = 20.6Standard deviation, σ2…

Q: A 1995 study shows that since records were first kept in a meteorologist's hometown, the average…

A: Solution: Let X be the temperature during the month of May. From the given information, n=25,…

Q: Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and…

A: Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and…

Q: If your score on your next statistics test is converted to a z score, which of these z scores would…

A: Solution

Q: on: Answer the following problems. Show your solutions. Compute the mean, median and mode of the…

A: Mean: It is the sum of an observations divided by the total number of observations of the data set.…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

I have a few questions I need help with:

1. Assume that the human body temperature has a mean of 98.6 as is commonly believed. Also assume that the population standard deviation is 0.62.

a. If a sample of size n= 106 is randomly selected, find the probability of getting a mean temperature of 98.2 or lower.

b. Suppose you took a random sample of 106 individuals and found their mean body temperature was in fact 98.2 Come up with at least two possible explanations for this seemingly rare event.

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The SAT scores are normally distributed with a mean of 1100 and standard deviation of 250. The ACT scores are normally distributed with a mean of about 20 and standard deviation of 5. Who did better, relative to their peers?
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
For numbers 31-37, refer to the given problem. The average time it takes for a group of college students to complete a certain examination is 46.2 minutes whereas the standard deviation is 8 minutes. Fifty college students were randomly selected to take the examination. Assume that the variable is normally distributed. What is the probability that the mean. time it takes for the group to complete the test will be less than 43 minutes? 32. Wnar B. 45 33 A. & 34. What is asked in the given problem? A. P(X 43) B. P(43) 35. What formula is to be used in finding the z-score? D. z = 4 Vi A. z = -X B. z = C. z = 36. What is the answer to the question? B. 15.54% A. 0.23% C. 23% D. 34.46%
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
Write down the formulas for the standard deviation of p.
Sarah was told that she scored two standard deviations above the mean on her PSYCÓ 104 final exam. Her instructor posted the class distribution and revealed the mean was 65% and the standard deviation was 10%. What was Sarah's test result? cro O a. 55% cro O b. 45% cro O c. 85% crc O d. 75% crc O e. 55%
A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.72 Ib, the mean of all of the weights is x= 2.345 lb, and the standard deviation of the weights is s =2.123 lb. a. What is the difference between the weight of 5.72 lb and the mean of the weights? b. How many standard deviations is that (the difference found in part (a))? c. Convert the weight of 5.72 Ib to a z score d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.72 Ib significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is
You determine that the standard deviation for a sample of test scores is 0. This tells you that 1 all the test scores must be 0. 2 all the test scores must be the same value. 3 there is no straight-line association. 4 the mean test score must also be 0. 5 you made a mistake because the standard deviation can never be 0.
I gave a sample of college students a measure of anxiety. the distribution has a sample mean of 25 with a standard deviation of 8. a. what would viviana's z-score be if she scored 41? b. what would Kwame's score be if he scored 21? and What proportion of the distribution for this sample scored below Viviana's score?
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. Given a population mean of 165cm, how many standard deviations would a sample mean of 163cm be from the true value? Give your answer rounded to two decimal places.
You are given the following information: sample mean is equal to 103.55, population standard deviation is equal to 14.88, sample size is equal to 111 and the national average is equal to 109. What would be the value of z-observed?