NameClass Schedule:ACTIVITY 9NORMAL DISTRIBUTIONAreaSolutionFinal AnswerGiven(Probabilityin percent)1. P (0< Z <1.25)3- 13.2. P(Z> 1.43)3. P(Z< 2.62)4. P(-2.5 < Z<1.8)3 2-1123APPLICATION PROBLEMThe IQ of 600 applicants to a certain college is approximately normally distributedwith a mean off 115 and a standard deviation of 12. If the college requires an IOof at least 95, how many of these students will be rejected on this basisregardless of their other qualifications?32-10 1 2 3

1)P(0<Z<1.25)=?=P(Z<1.25)-P(Z<0)=0.8944-0.5000=0.3944=39.44%

Answered: ACTIVITY 9 NORMAL DISTRIBUTION Given…

Math

Statistics

ACTIVITY 9 NORMAL DISTRIBUTION Given Area Solution Fi in 1. P (0 < Z < 1.25)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: K Determine the area under the standard normal curve that lies to the right of (a) Z= -0.35, (b) Z =…

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A: Solution

Q: A random sample of 13 students yielded a mean of x = 71 and a variance of s² = 16 for scores on a…

A: From the provided information,Confidence level = 98%

Q: K Determine the area under the standard normal curve that lies to the right of (a) Z= 1.13, (b) Z=…

Q: Test whether the mean IQ score has changed, Ho: = 107 versus H,: u# 107, with a simple random sample…

Q: The mean incubation time of fertilized eggs is 21 days. Suppose the incubation times are…

A: The mean is 21 days and the standard deviation is 1 day.

Q: Please answer P(Z> -0.34), P(0.15 <Z <1.98), P(-0.25 < Z < -0.10)

A: Given that Z has standard normal distribution

Q: C| D E -4 -3 -2 -1 0 1 2 3 4 Find the area of D under the normal curve. O 0.3413 O 0.4725 O 0.6827 O…

A: We have to find given probability.

Q: Find the z-scores that bound the middle 80% of the area under the standard normal curve. O-1.23,…

A: The objective is to obtain the z-score values, that include the middle 80% of the area. Considering…

Q: Show work and formula please You wish to test the following claim (HaHa) at a significance level of…

A: The test hypotheses are given below, Null hypothesis: H0:p ≥0.75 Alternative hypothesis: HA:p…

Q: To test Ho: u = 100 versus H,:µ# 100, a simple random sample size of n =22 is obtained from a…

A: Given,sample size(n)=22sample mean(x¯)=105.8standard deviation(s)=8.9H0:μ=100H1:μ≠100α=0.01

Q: K Determine the area under the standard normal curve that lies to the left of (a) Z= -0.82, (b) Z=…

A: R command has used to compute the area.

Q: In a normal distribution whose mean=2 and standard deviation 3, (a) find the value of the variate…

Q: I need help with part C please

A: The objective of this question is to evaluate the hypothesis test procedure for the proportion of…

Q: Find the area under the standard normal distribution curve between z=-2.22 and z = 0.63. Use The…

Q: Determine the area under the standard normal curve that lies to the left of (a) Z = 1.27, (b) Z =…

A: here we have to use standard normal table

Q: 5. Testing the population mean when the population standard deviation is known Lenders tighten or…

Q: The minimum z-score necessary to be in the highest 5% of the low-density lipoprotein distribution is…

A: For the distribution of the raw values, it is given that, The mean, μ=100. The standard deviation,…

Q: Calculate the test statistic. (Round your answer to two decimal places.) t = Calculate a 95%…

A: As from the provided information, the population parameter is assumed unknown, hence the t-test…

Q: QUESTION: Suppose X is N(10, 1). Find (i) P[X > 10.5), (ii) P[9.5 < X < 11), (iii) a such that P[X <…

Q: At α=0.02 , Use the distribution table to find the critical values for the rejection region…

A: We have given that Sample sizes n1=21 ,n2=38 , xbar1=48.36 ,xbar2=47.38 s1=0.56 ,s2=0.5

Q: Area under the curve, Part II. What percent of a standard normal distribution N(µ = 0, σ = 1)…

A: The objective of this question is to find the percentage of a standard normal distribution (mean =…

Q: X 1 v 4 v 5 v 6 v 8 10 X 13 The Standard Normal Distribution Table and enter the answer to 2 decimal…

Q: Find the area under the t-curve to the right of t = 2.539 (sample size n=20)

A: The sample size is, n = 20 The degree of freedom is, df=n-1 =20-1 =19

Q: Find the Zi value that corresponds to the given area in the standard normal curve 1. P (Z Zi)=…

A: We have to find correct answer..

Q: The area between the two z values Is

Q: Q2 a) The number of particles with sizes 1, 2, 3 and 4 mm are presented in the Table below: Particle…

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

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: From the provided information, Sample size (n) = 973, x = 526

Q: Consider the following summary output, which was generated from a sample of 8 employees relating age…

A: From the given data R^2 = ? R^2 = 0.019068636

Q: The area to the right of the z value is

Q: Question 1: Ihe Figure Below shows nine binomial distributions, each with n= 20, the values of p…

A: Binomial distribution : A discrete random variable x is said to be binomial distribution and the…

Q: I need to solve this please

A: Step 1:Determine the given variables n1=22, n2=33, x1ˉ=83,x2ˉ=39,σ1=5,σ2=4Step 2:Since,…

Q: 4.1 Area under the curve, Part I. What percent of a standard normal distribution N(μ = 0,0 = 1) is…

A: a)P(z<-1.35) = 8.85% b)P(z>1.48) = 6.94% c)P(-0.4<z<1.5) = 58.86% d)P(|z|>2) = 4.55%…

Q: E Click here to view the t-Distribution Area in Right Tail. ) If x= 18.4 ands=4.4, compute the test…

Q: Find the Z-scores that separate the middle 94% of the distribution from the area in the tails of the…

A: Solution-: We want to find z-scores that separate the middle 94% of the distribution from the area…

Q: -3 -2 -1 0 1 2 3 Please show your answer to 2 decimal places. About % of the area under the curve of…

A: Given that Z ~ N ( 0,1 ) About --- % Outside the interval z =( -0.74 ,0.74 )

Q: Find the area under the standard normal distribution curve to the left of z=-1.80. Use decimal…

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: The sample size (n) is 973 and x=526.

Q: Find the z value such that 93% of the standard normal curve lies between -z and z. (Round your…

A: Here z score is from standard normal distribution table

Q: 5. -1.57 2.83 +1 +2 43 +2 +3 7. 0 <z < 0.67 8. -2.91 < z < .77 +1

A: Hi! Thank you for posting the question. Since you have posted multiple questions, we are answering…

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

A: Let, X = The round off errors. Then; X~Uniform(0, 5.2) The probability density function of X is…

Q: n In 2015, the College Board SAT mathematics score of high school seniors, which follow an…

A: Approximate normal distribution : Mean = 511 Standard deviation = 120 Concept : Empirical rule :…

Q: Find the percent of the total area under the standard normal curve between the following z-scores.…

A: We have given that z = 0.75 and z = 1.3

Q: Testing: H0: μ ≤ 26.5 H1: μ > 26.5 Your sample consists of 38 values, with a sample mean of 27.3.…

A: Solution According to guidelines we solve first three subpart

Question

Name
Class Schedule:
ACTIVITY 9
NORMAL DISTRIBUTION
Area
Solution
Final Answer
Given
(Probability
in percent)
1. P (0< Z <
1.25)
3
- 1
3.
2. P(Z> 1.43)
3. P(Z< 2.62)
4. P(-2.5 < Z
<1.8)
3 2-1
1
2
3
APPLICATION PROBLEM
The IQ of 600 applicants to a certain college is approximately normally distributed
with a mean off 115 and a standard deviation of 12. If the college requires an IO
of at least 95, how many of these students will be rejected on this basis
regardless of their other qualifications?
3
2-1
0 1 2 3

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Equality of Variances$

Learn more about

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

Similar questions

esc 37 hp Find The area under The Standard normal curve to the left of 2 = -2.45 то Curve Benween 2 = -1.42 and 2= 1.78 normy curve to the right of 2 = -2.43 © Find The normal curre that lies Between 2 = -0.75 and 2=1.7 1 Find the area undir The norimnai that lies outside the interval & 7 C 8 n
normal curve with the area corresponding Assume the random variable X is normally distributed with mean u = 50 and standard deviation o =7. Compute the probability. Be sure to draw to the probability shaded. P(X> 36)
Score: 0/16 0/16 answered Question 2 -4 -3 Next Find the area of the shaded region under the standard normal distribution to the right of the given z-score. Round your answer to four decimal places. -2 z = -2.31 -1 P(z > -2.31) =[ Question Help: Video Submit Question 0 N 1 2 3 4 Done a Vo 1 pt 1 299 Details
two tailed z test
Answe part d and e
Shade area on the Standard Normal distribution that is indicated by the given inequality. Then use the Standard Normal (z) Distribution Table (Table Z) to calculate the area on the Standard Normal distribution for each z-score. 1. -2.46 < z < 1.74 2. z < -1.51 3. z < -2.28
1 Maximum Likelihood Estimation 1.1 MLE Let X1,.., X, be a random sample from a distribution with pdf f(x; 0) = , for 0 < x < 0. Find the MLE of 0. 1-e-6
The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 4.5 mm. Round values to 4 decimal places when possible. The probability that the jump's round off error is greater than 3.3 is P(x > 3.3) = P(x > 2.1 | x > 0.8) = Find the minimum for the upper quartile
Find the z score
If the area under the standard normal curve is given, Identify the z-valuea) 0.4207 is the area to the left of z, z = __________b) 0.2206 is the area to the right of z, z = ___________c) 0.8708 is the area to the right of z, z = ____________d) 0.5832 is the area to the left of z, z = _____________e) 0.9207 is the area to the left of z, z = _____________
The Standard Normal Distribution (-0, 0-1) 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)
4.2 Area under the curve, Part II. What percent of a standard normal distribution N(μ = 0,0 = 1) is found in each region? Be sure to draw a graph. (a) Z> -1.13 (b) Z 8 (d) |Z| <0.5