Answered: Express the confidence interval…

Math

Probability

Express the confidence interval (52.7%,62.9%) in the form of ˆp±MEp^±ME. % ±± %

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: A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 parts per…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Under some circumstances the waiting time X for an event could be modeled with the following pdf:…

A: Given information: f(x)=θ801-x80θ-1, 0<x<80 Given θ=4 a. CDF of X: F(X)=∫0xf(t)dt…

Q: n = 22, ππ = .75 (Round your mean value to 2 decimal places and standard deviation to 4 decimal…

Q: Assume that Xis normally distributed with a mean of 11 and a standard deviation of 2.1. Determine…

A: Hello there! I see there are more than three subparts in the question. According to our policies…

Q: On an exam with a mean of M = 98, you obtain a score of X= 90. Would you prefer a standard…

A: It is not known whether the distribution of the score is symmetric or not. Hence ,we cant use…

Q: [0.092, 0.089, 0.097, 0.808, 0.091, 0.082, 0.095] ± 0.002 µg/mL Compute the uncertainty of the…

A: Given information: [0.092, 0.089, 0.097, 0.808, 0.091, 0.082, 0.095] ± 0.002 µg/mL Use the formula…

Q: Write the value of the (log) likelihood for the fitted glm model and the value of the deviance for…

A: The data also gives x1, the porosity index of the piece, which is a numerical quantity: (Survived,…

Q: From the given Chi square, briefly interpret the results/ do statistical analysis? The p-value from…

A: Introduction: It is required to do a statistical analysis using the chi-square table.

Q: calculate Mean absolute deviation for 3 months moving average 3 months weightedmoving exponential…

A: The question is about forecasting.Given :

Q: on the lifestyles of visually impaired students was conducted. The students kept track of many…

A: Given that. X~N( μ , ?^2 ) μ=8.79 , ?=1.12 Z-score =( x - μ )/?

Q: A bank has invested $500M in an investment whose annual standard deviation is 0.2. Compute the 1%…

Q: Exercise 13. A poorly-manufactured die was rolled 5000 times and resulted in 1400 's. Using 95%…

A: Proportion is almost similar to the concept of probability. Proportion is a fraction of population…

Q: Express the confidence interval 81.9%. ±. 4.6%. in interval form.

A: Confidence interval is the estimate of the interval of an unknown population parameter. It provides…

Q: You are studying the velocities of projectiles. Prior experience tells you that standard deviation…

A: Given, Standard deviation = 5.7 Error = 0.91 confidence level =92%

Q: 9:13 PM Sun 4 • © 38% A mathxl.com Construct the confidence interval for the population mean u.…

Q: Ages of Gamblers The mean age of a sample of 25 people who were playing the slot machines is 49.9…

A: The Welch's t - test should be used to compare the mean differences between two population groups…

Q: The time that it takes for the next train to come follows a Uniform distribution with…

Q: Express the confidence interval 81.3%<p<92.9%81.3%<p<92.9% in the form of ˆp±Ep^±E. _______% ±…

A: We know that, Confidence interval for proportion is given by, (p+-z*√pq/n) So here given that, Upper…

Q: Q6. Let us assume that the lifetime of light bulbs follows an exponential distribution with the pdf:…

A: Given, The exponential distribution pdf is given, f(x)=λ×e(-λx) We test 10 bulbs and their lifetimes…

Q: A random sample of adult female reaction times has a sample mean of x¯=394.3 milliseconds and sample…

A: We first find 140.5 is how many SD (standard deviation) away from the mean 394.3 So, 140.5 is 3SD…

Q: Chapt 4, Q8: Answer this question please The antibody production of 12 male red-winged blackbirds…

A: Given data: Standard deviation = 0.240 Margin of error = 0.08 Confidence level = 80% (0.8) To find:…

Q: Absolute error- 38.80 microliters - 40.00 mocroliters/ 40.00 microliters *100=

A: The absolute error in percentage using the given information.

Q: Express the confidence interval (69.4%,79.2%)(69.4%,79.2%) in the form of ˆp±Ep^±E. _________%…

A: The random variable X follows normal distribution. The given confidence interval represents z-test…

Q: xpress the confidence interval 739.3 < μ < 845.5 in the form of ¯x ±ME. ¯x±ME= ________ ±…

A: Given the confidence interval in the form of a trilinear linear inequality. Hence,

Q: What would be the mean and standard deviation of (X-μ)/(σ/√10) ? What would be the mean and…

A: The expression (X-μ)/(σ/√10) represents the standardization of a random variable X with mean μ and…

Q: You measure 37 dogs' weights, and find they have a mean weight of 50 ounces. Assume the population…

Q: The life time (in days) of a certain electronic component that operates in a high-temperature…

Q: A scientist estimates that the mean nitrogen dioxide level in a city is greater than 34 parts per…

A: Solution-:Given: We want to write the claim mathematically and identify We find test statistic and…

Q: Statistical information on the annual maxima (i.e., annual maximum floods) for a river is summarized…

Q: Decide whether the following results from a statistical study represent a sample statistic or a…

A: Solution: According to the guidelines we are answering first question if multiple questions are…

Q: In this scenario, what is the test statistic? An orthopedic surgeon would like to test the…

A: Formula to find test statistic when population standard deviation (σ)known : z0 = x¯ - μσn Where ,…

Q: find the final percent uncertainty after the calculation would be completed(just uncertainties , no…

A: Solution for question a: Given A=3.0±8%2.0±5% Note: Relative uncertainty of x×y=Relative…

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

Express the confidence interval (52.7%,62.9%) in the form of ˆp±MEp^±ME.

% ±± %

Expert Solution

Step 1

$\mathbf{Solution}$

Given the confidence interval in the open interval form:

$\mathrm{\left (Lower\;limit,\;Upper\;limit \right )}$

$\mathrm{\left (52.7\%,\;62.9\% \right )}$

Hence,

$\mathrm{Lower\;limit=52.7\%}$

$\mathrm{Upper\;limit=62.9\%}$

Step 2

$\mathrm{Sample\; proportion\;(\hat p)=\frac{Upper\;limit+lower\;limit}{2}}$

Plug in all the values in the formula, we get

$\mathrm{Sample\; proportion\;(\hat p)=\frac{62.9\%+52.7\%}{2}}$

$\mathrm{Sample\; proportion\;(\hat p)=\frac{115.6\%}{2}}$

$\mathrm{Sample\; proportion\;(\hat p)=\mathbf{57.8}\%}$

Step by step

Solved in 4 steps with 16 images

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

Researchers measured the percent call: Im(formula - Symptoms - wear_mask, data - some_states) of people in 25 states who 'knew someone with COVID symptoms' (ŷ) Residuals: Min 10 Median 30 мах -7.9167 -2.3306 -0.2469 2. 5020 7.3345 coefficients: and regressed this on the (Intercept) 111.0981 wear_mask Estimate std. Error t value Pr(>|t|) 10. 5423 10. 538 2.82e-10 *** -8. 375 1.94 e-08 *** -1.0419 0.1244 percent of the population frequently wearing a mask in public (x). signif. codes: 0 ***** 0.001 **** 0.01 * 0.05 '.' 0.1''1 Residual standard error: 3. 859 on 23 degrees of freedom Multiple R-squared: 0.7531, F-statistic: 70.15 on 1 and 23 DF, p-value: 1.936e-08 Adjusted R-squared: 0.7423 Which of the following represents the correct regression equation? 1) ŷ = -1.04 + 111x 2) x = 111.10 – 1.04ý 3) ŷ = 111.10 + 10.54x %3D 4) ŷ = 111.10 – 1.04x
(n=203) report an average annual salary of 24,509, with a standard deviation of 622. Is this figure significantly lower than the statewide average of 25,782?
Suppose that the recovery time from the infection with a certain virus is normally distributed with a mean of 6.5 days and a standard deviation of 1.5 days. Answer each question. Draw a graph illustrating the recovery time. Make sure to indicate 3 standard deviations from the mean. P(X>7.3)=? P(X <4.7)=? P(5.1<X<7.7)=? John's recovery time is lasting more than 9.2 days. Is it unusual (and should he be concerned yet)? What is the middle 90% recovery time? What is the 80%tile recovery time?
Find the probability that the city uses more than 45,000 kWh. Please refer to attached image and thank you
Express the confidence interval 31.7%<p<44.9%31.7%<p<44.9% in the form of ˆp±Ep^±E.______% ±±_________ %
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=76x¯=76 hours. The population standard deviation is known to be 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 90% level of confidence. How many more bacteria should you sample to achieve a 0.4 hour margin of error? n = bacteria
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 38 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)? =
Suppose that X follows a lognormal distribution with w^2=4 and E(X)=10,000 a. Find the parameter theta for the distribution. Use 4 digits after the decimal point: b. Find the standard deviation of the process: Use 4 digits after the decimal point:
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. ← 2 W S The area of the shaded region is (Round to four decimal places as needed.) आईड SA H nd D X 2Demo Outline....docx 3 E 8.0 F3 D C $ 4 a F4 R F V chapt21_lecture....pdf % 5 e " T G 1 ^ 6 B MacBook Air F6 Y H & 7 chapt22_lecture.....pdf N U √₁ Vi J * 8 DII FB I M 1, (0,0) ( 9 K chapt23_lecture....pdf DD FO More O < I H ) O F10 command P J L V Time Remaining:00:42:40 Next - : ; I 4 F11 { [ option + = 11 z = -0.92 ? 1 I Show All F12 1 X X Q C delete L
You are studying the velocities of projectiles. Prior experience tells you that standard deviation of velocities is around 9.7 ft/sec. How many independent samples of projectile velocity do you have to measure to estimate the mean velocity within ±±0.98 ft/sec with 92% confidence?
(1 point) A random sample of 110 observations produced a mean of x = 34.7 from a population with a normal distribution and a standard deviation o = 4.39. (a) Find a 99% confidence interval for u (b) Find a 95% confidence interval for (c) Find a 90% confidence interval for u
Compute the standard deviation to the nearest 0.01.