Given the exam scores of selected students in Biology: 30 22 27 27 29 27 27 22 28 21 21 20 17 21 33 Mean: 24.8 Variance: 20.31 Standard Deviation: 4.507 Show a solution by illustrating the normal distribution. You may use standard normal table or excel in finding the probability. a. What is the probability that a student has a score less than 24? b. What is the probability that a student has a score greater than 30? c. What is the probability that a student has a score less than 15 or greater than 33?

Given the exam scores of selected students in Biology: 30 22 27 27 29 27 27 22 28 21 21 20 17 21 33 Mean: 24.8 Variance: 20.31 Standard Deviation: 4.507 Show a solution by illustrating the normal distribution. You may use standard normal table or excel in finding the probability. a. What is the probability that a student has a score less than 24? b. What is the probability that a student has a score greater than 30? c. What is the probability that a student has a score less than 15 or greater than 33?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: The following summary data was obtained for a study on fabric strength of two types of wool.…

A: The random variable fabric strength is normally distributed. There are two independent samples which…

Q: The two samples whose statistics are given in the table come from populations that are normal…

A: Given that, sample size (n1)=10 , sample mean (X1) = 129.44 , standard deviation (s1)= 9 sample…

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

Q: Coca-Cola has a manufacturing process that meets the requirement that the standard deviation of…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: For a normal distribution, given a standard deviation of 3.8 and a mean of 54, what percent lies…

Q: What is the probability of randomly selecting an individual from a population who has a raw SAT…

Q: The following data are from a simple random sample. 4 8 13 7 13 15 a. What is the point…

Q: What is the variance? o a.1.1239 O b. 2.3291 O c. 2.2319 o d. 1.2319 What is the standard deviation?…

Q: For a study of the effectiveness of incarceration for driving while intoxicated (DWI), the following…

A: Given data: 12 8 9 15 11 3 9 7 15

Q: 3. Refer to the table below, the average number of chocolate chips per cookie in two competing…

A: The aim is to check whether the makers of Brand A claim that their cookies average more chocolate…

Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's…

A: It is given that out of 115 employees, it is found that 32 have a bachelor’s degree or higher. The…

Q: For a sample of n=16 scores, what is the value of the population standard deviation (sigma)…

Q: Two samples of scores on a survey are as follows: Sample A: 10 7 6 8|7 9 Sample B: 183 10|1|12 7 26.…

Q: A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time?…

A: Here the recovery time of various patients are given with different types of treatments. We have to…

Q: The results of a mathematics placement exam at two different campuses of Mercy College follow:…

A: From the provided information,

Q: Given below are the analysis of variance results from a Minitab display. Assume that you want to use…

A: The test statistic used here is F statistic.

Q: When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were…

A: Given information- Sample size, n = 12 Significance level = 0.01

Q: Two samples, each with n = 5 scores, have a pooled variance of 40. What is the estimated standard…

Q: Do the poor spend less time in the shower than the rich? The results of a survey asking poor and…

A: Hypothesis H0:μ1=μ2 H1:μ1<μ2 the test statistic t=x1-x2s12n1+s22n2

Q: You want to test whether or not the following sample of 30 observations follows a normal…

A: From the given information, the number of observations in the sample is 30.

Q: Given the population 10 top scores of Cricketer Saeed Anwer from February 1989 to June 1994 Table 2…

Q: Given a standardized normal distrubtion (with a mean of 0 and a standard deviation of 1, as in Table…

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: Using the following data, what is the probability you'd select an individual whose IQ is greater…

A: Given information- We have given raw data of IQ of 24 individuals. Sample size, n = 24 Mean = 100.5…

Q: During a recent CD sale at Matt's Music Store, the number of CDs customers purchased was distributed…

Q: Find test statistics: Find P-value: Conclusion: Construct a confidence interval suitable for…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given Data :…

Q: A teacher used the scores of 9 students to identify the variability of students’ performance on the…

A: Given, Scores of 9 students are 16,43,43,41,43,43,44,43,44

Q: A random sample of six advertisements taken from Scientific American had the following fog indices…

A: Ho : σ12=σ22 US H1.σ12 ±σ22Let X be sample for scientific American following fog Indices…

Q: Suppose you are taking samples from a normal distribution with mean 7 and variance 9. If you observe…

A: Given a normal distribution with mean 7 and variance 9

Q: For a study of the effectiveness of incarceration for driving while intoxicated (DWI), the following…

A: Calculate Range , Sample Variance (S^2), Sample Standard deviation (S) from the following…

Q: Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), determine…

A: We will use Std. Normal table to find the required probabilities. Note : According to our guidelines…

Q: Calculate the standard deviation and variance of the sample data shown, to two decimal places x 1.4…

A: Sample standard deviation: 1.4 1.96 1.3 1.69 21.3 453.69 4.2 17.64 1.9 3.61 15.2…

Q: A random sample of 50 personal property insurance policies showed the following number of claims…

A: Solution: Number of claims (x) Number of policies(f) x2 fx fx2 0 21 0 0 0 1 13 1 13 13 2 5…

Q: Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking…

A: Since you have posted a question with multiple subparts, we will solve the first three complete…

Q: Is the type of area that a person lives in a factor in the age that a person experiences their first…

A: Question of the problem : Is the type of area that a person lives in a factor in the age that a…

Q: A study is conducted to assess whether residents in City A spent a different out-of- pocket amount…

A: Given: n1 = 47 n2 = 61 x1 bar = 130 x2 bar = 101 s1 = 79 s2 = 82

Q: Coca-Cola has a manufacturing process that meets the requirement that the standard deviation of…

A: It is given that the population standard deviation, σ=0.115 ounces. The null and alternative…

Q: A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time?…

A: Hypotheses: H0: μ1=μ2=μ3 H1: At least two of the means differ from each other. All distributions are…

Q: A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time?…

A: State the hypotheses. That is, there is no difference between the three different treatment means.…

Q: Coca-Cola has a manufacturing process that meets the requirement that the standard deviation of…

A: The sample mean and standard deviation of the 10 cans is,

Q: Do the poor spend the same amount of time in the shower as the rich? The results of a survey asking…

A: Given Information : Do the poor spend the same amount of time in the shower as the rich? The…

Q: The following information was obtained from bwo independent samples randomly selected from two…

A: We have given that, For sample 1:- n1 = 20 and n2 = 21 and s1 = 3.26, s2 = 3.78 Then, We will…

Q: In a study of the function of pectoral fins in fish, a graduate student examined 7 fish with the…

Q: When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were…

Q: Do the poor spend less time in the shower than the rich? The results of a survey asking poor and…

A: The random variable time follows normal distribution. There are two independent samples which are…

Q: When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were…

A: From the provided information, Sample size (n) = 12 Level of significance (α) = 0.05

Q: Given below are the analysis of variance results from a Minitab display. Assume that you want to use…

A: In this case, we need to identify the test statistic value.

Q: Do the poor spend less time in the shower than the rich? The results of a survey asking poor and…

A: The t-test statistic is, t=x¯1-x¯2s12n1+s22n2where,x¯1, x¯2=sample meanss1, s2=sample standard…

Q: A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time?…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time?…

A: Solution : Given : Number of days to recovery for several randomly selected pneumonia patients that…

Question

Given the exam scores of selected students in Biology:

30 22 27 27 29 27 27 22 28 21 21 20 17 21 33

Mean: 24.8
Variance: 20.31
Standard Deviation: 4.507

Show a solution by illustrating the normal distribution. You may use standard normal table or excel in finding the probability.

a. What is the probability that a student has a score less than 24?

b. What is the probability that a student has a score greater than 30?

c. What is the probability that a student has a score less than 15 or greater than 33?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution