A random sample of high school students is used to estimate the mean time all high school students study for Algebra II tests. A 99% confidence interval based on this sample is: 1.7 hours to 3.1 hours.  What is the margin of error?

Q: Of 500 random people surveyed, 72 were smokers.  Find the 95% confidence interval. SE=0.0157

A:

Q: Find the critical value for the population mean if there are 756 cats in a sample and you want a 91%…

A:

Q: Wildlife biologists inspect 200 deer taken by hunters and find 45 of them carrying Lyme disease…

A:

Q: f n=450 and X = 360, construct a 99% confidence interval.

A:

Q: y selected textbooks' weights, and find they have a mean weight of 78 ounces. Assume the population…

A: As the population standard deviation is known, we will use z distribution. The value of z at 95%…

Q: Over the break, you do some reasearch. In a random sample of 250 U.S. adults, 56% said they ate…

A:

Q: If n = 108, a = 29 and o = 2.6, construct a 91% confidence interval. Give your answers to three…

A: Since we know population standard deviation, use z-distribution to find z-critical value.…

Q: Use the data about the sample to calculate a 95% confidence interval for the average income of…

A: 1. The conditions for using t-distribution are: Sample size is small. Population standard deviation…

Q: Insurance companies are interested in knowing the population percent of drivers who always buckle up…

A:

Q: 95% confidence interval for the true percent of workers in this city who have full health insurance…

A: The question is about confidence interval.Given :Randomly selected no. of workers ( n ) = 1700No. of…

Q: Find the margin of error for the 95% confidence interval used to estimate the population proportion.…

A: Confidence level = 95% Sample size (n) = 2440 Sample proportion (p̂) = 0.70

Q: Suppose a 95% confidence interval for μ turns out to be (1,000, 2,100). To make more useful…

A: Given : 95% confidence interval for μ turns out to be (1,000, 2,100).

Q: Suppose you calculate a 99% confidence interval to be: 13.05 to 20.75. Determine the margin of error

A: Given data: The given upper limit is b=20.75. The given lower limit is a=13.05.   The expression for…

Q: The General Social Survey asked 1294 people whether they performed any volunteer work during the…

A:

Q: Three confidence intervals for a population mean are constructed, all from the same random sample.…

A: The given confidence intervals are (6.4, 12.3), (5.1, 13.6), and (6.8, 11.9) and the given…

Q: A sample of 500 nursing applicants included 80 men.  Determine the 95% confidence interval for the…

A:

Q: Determine the sample size for a on-line survey with a variability of 30% and a 95% confidence…

A: Sample size n=z2(p*q)/e2

Q: You measure 35 textbooks' weights, and find they have a mean weight of 36 ounces. Assume the…

A: Given information- Population standard deviation, σ = 9.3 ounces Sample size, n = 35 Sample mean,…

Q: A survey of 100 men found that 68% said they find it hard to buy holiday gifts that convey their…

A: Solution

Q: one with a 95% confidence level and the other with a 99.7% confidence level. Which interval is…

A: Confidence interval is probability, which refers that population parameter will fall within set of…

Q: The Statistics Games are played by a large number of teams across the county. Teams raise money to…

A: We have given that,  Sample mean (x̄) = $ 375, standard deviation (s) = $ 32 and sample size (n) =…

Q: The number of successes and the sample size are given for a simple random sample from a population.…

A: Obtain the value of sample proportion. The value of sample proportion is obtained below: From the…

Q: When 290 college students are randomly surveyed, it is found that 120 own a car. Find a 99%…

A: Given that, x=120,n=290 The sample proportion is, Critical values: By using the standard normal…

Q: A confidence interval was constructed to approximate a population proportion. The interval was from…

A: We have given that,  Let p̂ represents the sample proportion and E represents the margin of error,…

Q: A confidence interval was constructed to approximate a population proportion. the interval was from…

A: From the provided information, The confidence interval was from 30.5% to 41.5%.

Q: A hospital administrator hoping to improve wait times decides to estimate the average emergency room…

A: Solution: Given information: n= 64 Sample size of patients  The 95% confidence interval based on…

Q: You measure 20 dogs' weights, and find they have a mean weight of 44 ounces. Assume the population…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: You measure 50 textbooks' weights, and find they have a mean weight of 66 ounces. Assume the…

A: From the provided information, Sample size (n) = 50 Sample mean (x̅) = 66 ounces Population standard…

Q: A student organization conducted a statistical study to calculate a 95% confidence interval for the…

A: Hence,

Q: Construct a 99​% confidence interval of the population proportion using the given information.…

A:

Q: How much does a sleeping bag cost? Backpacker Magazine took a random sample of the cost of 31…

A: Given: n = 31 X = 119.75 s = 17.20 Formula Used: Confidence Interval = X ± tsn

Q: ou measure 50 textbooks' weights, and find they have a mean weight of 79 ounces. Assume the…

A: We have given that,  Sample mean (x̄) = 79, population standard deviation (σ) = 12.4 and sample size…

Q: A research institute poll asked respondents if they felt vulnerable to identify a theft. In the poll…

A: Given,n=1000x=501p^=xnp^=5011000=0.5011-p^=1-0.501=0.499α=1-0.99=0.01α2=0.005Z0.005=2.58    (from…

Q: A research institute asked students if they felt vulnerable to identity theft. In the poll, n=1047,…

A:

Q: Which of the common confidence levels (90%, 95%, or 99%) would you prefer to use if you wanted to…

A: Introduction: The “smallest” confidence interval implies the confidence interval with the shortest…

Q: Suppose that you are preparing to construct a 98% confidence interval for the population mean.  You…

A: Given Data : Sample Size, n = 27 Sample Mean, x̄ = 29.5 standard deviation,…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.