A history teacher records the SAT scores of all 87 of her students. The data is used to construct a confidence interval for the mean SAT score μ of all students in the school. Has the teacher met the conditions for calculating a confidence interval for μ?

Q: Use the Student's t distribution to find t, for a 0.95 confidence level when the sample is 27.

A: sample size=n=27 Degree of Freedom=n-1=27-1 =26 Confidence level is 0.95 Therefore the Level of…

Q: Kim wants to determine a 99 percent confidence interval for the true proportion of high school…

A: From the given information, Margin error (E) = 0.03 Assume sample proportion = 0.5   The objective…

Q: If n=400 and X=100​, construct a 95​% confidence interval estimate for the population proportion.

A: Given,x=100n=400sample…

Q: Strictly speaking, what is the best interpretation of a 95% confidence interval for the mean? If…

A: In general, the 95% confidence interval interprets that there is 95% confidence that the population…

Q: The 95 % confidence interval for the mean lead content per litre of waste water produced by her…

A: It is given that Sample size n = 500 Sample mean M = 641 Population SD = 20 The critical value of Z…

Q: If we want to provide a 95% confidence interval for the mean of a population when the population…

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Q: Use a t table to find the value of t to use in a confidence interval?

A: Note: you did not mention the information about the sample, for which t-value is to be obtained. So,…

Q: A If n=21, ¯x (x-bar)=34, and s=8, construct a confidence interval at a 98% confidence level. Assume…

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Q: Construct the confidence interval for the population mean y. C=0.95, x= 16.7, o= 4.0, and n= 75. A…

A: Here, C=0.95, x=16.7, σ=4.0, and n=75.

Q: In a survey of 3700 TV viewers, 834 said they watch network news programs. Find the margin of error…

A: Solution

Q: Find a 95% confidence interval for a mean, µ, where n = 324, x̄ = 2.7, s = .91, and se = .06.

A: Given: n = 324, x̄ = 2.7, s = .91, se = .06.

Q: In order to construct the 95% confidence interval, you choose which formula? O x ±1.645 × OT ±1.96 x…

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Q: You observe 60 customers at a coffee shop, and 82% of them tip. What is the 95% confidence interval…

A: Given : You observe 60 customers at a coffee shop, and 82% of them tip.

Q: In terms of z scores, a 95% confidence interval consists of which of the following ranges? 1. ±1 z

A: Given, Z=x-μσ where, x= observed value μ=mean of the sample σ=standard deviation

Q: a recent study of 100 people in Burlingame found that 19 were obese.  Find the 90% confidence…

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Q: Which of the following would result in the narrowest confidence interval? A. 80% confidence level…

A: The narrowest confidence interval will result from larger sample size and a smaller confidence…

Q: In a random sample of 500 people eating lunch at a cafeteria on various Fridays, it was found that…

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Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: Given Information n =87 x =48

Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: According to the provided information: The proportion can be calculated as:

Q: find the t/α2 value for a 98% confidence interval for the mean when the sample size is 39.  t/α2=

A: The objective is to find the critical value for 98% confidence interval for the mean.

Q: The data below are the length (in minutes) of randomly selected children's animated film 81 77 76 75…

A: Given data is 93 , 83 , 76, 92,77, 81, 78 , 100, 78 , 76, 75sample size(n)=11sample…

Q: If a student provided 90% confidence intervals in all ten questions, how many points would we expect…

A: In the given analysis, we have 10 questions and their correct answers. 10 sample responses from 10…

Q: Use the given data to construct a confidence interval of the requested level. X = 178, N=531,…

A: Given : Sample Size, n = N = 531 Number of successes, x = 178

Q: Using the accompanying colleges and universities data to find 95% confidence intervals for the…

A: Given:   Liberal Arts Colleges Research Universities 1169 1117 1194 1133 1204 1148 1210…

Q: For a confidence interval of 5.4 +/- 0.2 find the % confidence level if the standard deviation is…

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Q: FIND t a n = 15 for the 98% confidence interval for the mean.

A: Provided information that, n=15 Alpha (α)=1-0.98=0.02 α/2=0.01

Q: Beth wants to determine a 99 percent confidence interval for the true proportion p of high school…

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Q: 4. A researcher asks 600 people if they received a flu vaccine, and 65% said they did. What is the…

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Q: The upper and lower bounds of a confidence interval, L and U, will be the same each time a new…

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Q: If X=72​, σ=13​, and n=66​, construct a 95​% confidence interval estimate of the population​…

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Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: It is given that n=195 and x=162. The sample proportion is 162/195 = 0.8308 The sample size is 195…

Q: In a random sample of 95 manufacturing firms, 67 indicated that their company attained ISO…

A: For part i]: Linear relationship: 1]The graph of linear relationship forms a straight line.  2] A…

Q: Match the confidence level with the confidence interval for μμ.    1. x⎯⎯⎯±1.645(σn√)  2.…

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Q: If n=41, ¯x=39, and s=16, construct a confidence interval at a 99% confidence level. Assume the data…

A: Given that  Sample size (n) = 41 Sample mean (x¯) = 39 Sample standard deviation (s) = 16 Confidence…

Q: Dylan wants to determine a 99 percent confidence interval for the true proportion p of high school…

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Q: A survey of 800 women shoppers found that 17% of them shop on impulse What is the 98% confidence…

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Q: Give the margin of error for the 90% confidence interval for µd = µ1 – H2

A: The differences are 4, 6, 2. The mean is, d¯=∑dn=4+6+23=123=4 The standard deviation is,…

Q: The t-value (t - score) that would be used to construct a 99% confidence interval given a sample…

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Q: What is the critical t-value for finding a 95 percent confidence interval estimate from a sample of…

A: Given: Sample size (n)=18 Confidence level = 95% Level of significance = 1-confidence level = 1-0.95…

Q: use the given degree of confidence and sample date to contruct a confidence interval for the…

A: Sample size = n = 124 Sample number of events = x = 20 Sample proportion = p̂ = x/n = (20/124) =…

Q: A health professional takes the temperatures of 5 patients:   99.8    98.3    96.9    98.0    98.3…

A: We have given that  A health professional takes the temperatures of 5 patients: 99.8    98.3    96.9…

Q: In a 95% confidence interval the quantity 0.95 = 1 – 0.05 is called the confidence coefficient. True…

A: The confidence coefficient is the confidence level stated as a proportion, rather than as a…

Q: If X=68​, σ=14​, and n=66​, construct a 95​% confidence interval estimate of the population​ mean, μ

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Q: if n=20, x=43, and s=9, construct a confidence interval at a 98% confidence level, the data came…

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Q: For a sample with a mean of 10, a std of 5 and an n of 30, what is the lower bound of the 95%…

A: Given data, x=10σ=5n=30z-value at 95% confidence is Zc=1.96

Q: find the value: t a 2 and n = 15 for the 98% confidence interval for the mean.   t a 2 and n= 20…

A: a) Degrees of freedom=n-1=15-1=14   Then, at 98% confidence level, the value of t is 2.624. (From…

Q: When computing a confidence interval for the population mean µ when the population SD a is known,…

A: Given data: Confidence level = 85% Population standard deviation is known. To find: Critical value

Q: A random sample of married people were asked "would you remarry your spouse if you were given the…

A: Given information x = 127 N = 150

Q: Express the confidence interval in the form of p±E. 13) 0.203<p<1.423 13)

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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.