Answered: 3. What proportion of the area under a…

3. What proportion of the area under a standardized normal curve is а. above a z-value of 1.88? b. below a Z-value of -1.88? hetween z=-1.15 and z=+1.15?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.6: Rational Functions

Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.

See similar textbooks

Related questions

Q: 4. For X bar = 55.00 and S = 7.00, between what two values do %3D approximately 95% of the cases lie…

A: Note: As per the guidelines, only first question of this file has been solved. 4. Given data: Mean,…

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

A: Given that:Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 By…

Q: 1.Consider this graph of a standard normal curve. What percentage of data is represented by…

A: For the given graph, Need to find the percentage of data is represented by the shaded area.

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: From the given information, Consider, X is the normal distribution with mean of 50 and standard…

Q: Using the following data as given in the illustration frequencies for normal curve under the area…

Q: oportion under the area under the normal curve below -1.2

A: Given: Mean of standard normal μ=0 Standard deviation σ=1 X ~ N(0,1)

Q: Find the area of the indicated region under the standard normal curve. + -1.13 0 2.03

A: Solution: 3 From the given information, the z-scores are –1.13 and 2.03.

Q: Using the z-table, what is the area under the standard normal curve between ? = −2.00 and ? = 0.40?

A: The objective is to find the area under the standard normal curve between z = −2.00 and z = 0.40.

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

A: Given : Standard normal variable Z with Mean=0 Standard deviation=1 i.e Z~N(0,1)

Q: Using the z-table, what is the area under the standard normal curve to the left of ? = −1.90?

A: The objective is to find the area under the standard normal curve to the left of z = −1.90

Q: Given a normal distribution of the lengths of wing-spans of a certain butterfly has a mean of 20 mm…

A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: Solve this backwards problem by finding the z-score that bounds the shaded region of the sandard…

Q: b) between ? − 2? and ? + 2? (Enter an exact number.) % (c) to the right of ? + 3? (Enter a…

A: P(-2<Z<2) = P(Z<2) - P(Z<-2) P(-2<Z<2) =0.975 - 0.025 P(-2<Z<2) = 0.95…

Q: a) What percentage of the area under the normal curve lies between ? − ? and ? + ?? b) (What…

A: Given data To find the percentage of the area under the normal curve lies.

Q: The spread of the normal curve depends upon the value of O a. Mean deviation Ob. Median C. Standard…

A: Spread of the Normal curve depends on the Standard deviation.

Q: Find the proportion under the areas under the normal curve below 0.3σ

A: Suppose, X is normal distribution with mean µ and variance σ2 . So, X ~ N(µ, σ2) Hence, Z = X - µσ ~…

Q: 7. What is half of the total area of the normal curve? b. 0 а. -1 с. 0.5 d. 1

A: We have given that. X~N( μ , ?^2 ) μ =0, ? =1 ( for standard normal) Z-score =( x - μ )/?…

Q: What percentage of the area under the normal curve lies to the a. left of u? b. Between u - o and u…

A: Solution-: What percent of the area under the normal curve lies to the (a) left of μ (b) Between…

Q: What is "empirical rule"? what percentage of the area under the normal curve lies (a) to the right…

A: a) Using empirical rule, 50% of the data lies above the mean that is right of mean, and 50% to left…

Q: In a standard normal distribution, if the area to the left of z is 0.9, what is the area to the…

Q: in the area to the right of x in a normal distribution is 0.551, what is the area to the left of x?

A: The area right of x in a normal distribution is 0.551.

Q: 12/07/21 1. What is the total area under the curve for a standard normal distribution?

A: According to our policy we can answer only first question for remaining please repost the question.

Q: Find the area of the indicated region under the standard normal curve. -1.30 0

A: P(Z>-1.30)=?

Q: If the area to the left of x in a normal distribution is 0.494, what is the area to the right of x?…

A: 1) Area to the left of X is 0.494, then area to the right=1-0.494=0.506 (since distribution is…

Q: III. Exercise 1. What is the area to the right of 1.06 under the standard normal curve? 2. What is…

Q: Determine the area under the standard normal curve that lies between 1.11 and 2.75.

Q: What percentage of the area under the normal curve lies as given below? (a) to the right of ?…

A: Here we want to find the area under the normal curve.

Q: In sampling from a normal distribution with variance 25, how large mus interval for the mean is…

A: The sample size can be calculated as: n=z×σE2 Here, z = desired confidence level E = The allowable…

Q: 2) Use the table of standard normal curve areas to find the following: a. The area less than az…

Q: If the area to the left of x in a normal distribution is 0.41, what is the area to the right of x?…

Q: Determine the area under the standard normal curve that lies between a. −2.18 and 1.44. b. 1.1 and…

A: The area under the standard normal curve has Bell shaped curve. To find the area under the standard…

Q: The area under the standard normal curve, above the horizontal axis, and to the right of 0.59…

A: Given problem Given that The area under the standard normal curve, above the horizontal axis,…

Q: Given the normal distribution with a mean of 35 and a standard deviation of 6. Find the area: a.…

A: d. Suppose the variable of interest is X.

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

A: The value of z can find from standard normal table

Q: If the area to the left of x in a normal distribution is 0.317, what is the area to the right of x?…

A: Given information: i) Area to the left of the x in a normal distribution is 0.317 Total area under…

Q: Need asap Give a normal distribution with a mean of 50 and a standard deviation of 5, Find the…

Q: Determine the area under the standard normal curve that lies between a) 1.48 and 2.72 b)-5.1 and…

A: we have to find given area..

Q: Under the standard normal curve, the area above the mean is

Q: According to the Distribution of Z table, _______% of area under the normal curve is between the…

A: The random variable can be said to be follow standard normal distribution if the mean of the…

Q: Which of the following percentile corresponds to the area beneath the standard normal curve from a z…

A: It is provided that the given distribution is a standard normal distribution.

Q: Find the area under the normal curve of the following in percent: 7. for z = 1.34 or z -1.11 9. for…

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: 2. What is the approximate area of the shaded region under the standard normal curve below? Use the…

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

Q: Find the area of the indicated region under the standard normal curve. -1.13 0 2.03

A: The normal distribution is converted to the standard normal curve if we substitute μ=0 and σ=1 for…

Q: or Table A, find the proportion of observations from a standard Normal distribution for each of the…

Q: Find the percentage of the total area under the standard normal curve between the following…

A: Given that : Z = 1.42 and z = 2.82 Here we use standard normal distribution.

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

A: From the provided information, The area is under the standard normal curve between the z score 0.55…

Q: Given a normal distribution of the lengths of wing-spans of a certain butterfly has a mean of 20 mm…

Q: Find the proportion under the standard normal curve to the right of z=1.34 (nearest ten thousandth)

A: The formula to calculate probability is,

Q: The area under a normal curve distribution is equal to 1

A: Let us denote normal distribution density as f(x). ∫-∞∞f(x)dx=1 One of the properties of normal…

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

A: Given that, the z scores are z=-2.41 and z=0.0.

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

3. What proportion of the area under a standardized normal curve is
а.
above a z-value of 1.88?
b. below a z-value of -1.88?
с.
between z= -1.15 and z=+1.15?

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: Given information

Step 2: Part (a)

Step 3: Part (b)

Step 4: Part (c)

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

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

Find the mean hourly cost when the cell phone described above is used for 240 minutes.
What is the area under the normal curve between z = -2.45 and z = -1.13? Select one: а. О.1359 b. О.1221 с. О.0228 d. 0.4772
Find the area under the normal curve of the following in percent: 7. for z = 1.34 or z -1.11 9. for z -1.11 or z -2.29 S.00
Find the area under the normal curve to the left of z= -1.56 plus the area under the normal curve to the right of z= 2.56. The combined area is?
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders ni = 412 n2 = 778 Number making claims = 75 Number making claims = 111 a. Use a= 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value (to 2 decimals) p-value (to 4 decimals) We cannot conclude that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.
Sketch the normal curve. 1. Find the area between z= -1.5 and z= -2.5 2. Find the area between z= -1.35 and z=2.95 3. Find the area to the left of z= 2.32 4. Find the area to the right of z= -1.8
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Hypothesis: H0: μd=0Ha: μd≠0 Using output Test statistics : t=0.134P value=0.897 Degrees of freedom (df): df=7 Level of significance: α=0.05 Decision: P value > 0.05 thus we fails to reject null hypothesis. Question a)Write a report summarizing your findings. When writing the report consider that medical staff estimate that a difference of 4.5 microns or more could impact on their ability to interpret eye pressure correctly. b) Define for the hypothesis stated in part b) what a type 1 error and type 2 error would mean. Is it possible…
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Q) If a participant has the same corneal thickness in their normal eye as the eye with Glaucoma, what would be the value for difference: measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma.
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05 H0: μd=0 H1: μd≠0 T statistic: t = 1.053, P value = 0.327 Degrees of Freedom n-1 = 8-1= 7 critical value 2.3646 If t is less than 2.3646, or greater than 2.3646, reject the null hypothesis Level of significance: α=0.05 question: what a type 1 error and type 2 error would mean. Is it possible that we could have committed a type 2 error in conducting the test
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. If a participant has the same corneal thickness in their normal eye as the eye with Glaucoma, what would be the value for difference: measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma.
The amount of trash generated by US households (in lbs per day) is Normally distributed. You a random sample of 8 people gives you an average of 10.00 lbs and a sample stdev of 5 lbs. What is the 90% Conf. Int. for the mean?
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Q)Conduct a hypothesis test to determine if there is sufficient evidence to conclude that corneal thickness is different in normal eyes compared to eyes with glaucoma? Write up your results using the 8 steps.