2. Mr. V wanted to know the average weight (in kilos) of students in LAO University. He took a random sample of 300 students and discovered that their average weight 55kg with a standard deviation of 0.8kg. Construct a 95% confidence interval for the mean weight of students in the University.

Q: 3. Compute for the sample size if the margin of error is 12, with a sample standard deviation of 35…

A: The z-critical value for a 95% confidence interval is calculated using the excel formula…

Q: our sample consists of 43 subjects, with a mean of 36.1 nd standard deviation of 2.56.

A: Given information: μ=36.82n=43x¯=36.1s=2.56

Q: Suppose, according to a 1990 demographic report, the average U. S. household spends $90 per day.…

A: Sample mean = $84.5.Sample standard deviation, s is $14.5.The sample size, n is 30.

Q: sports shop selects a random sample and records the sales of items ma

A: Let X be the random variable such that records the sales of items made  in America  x¯: Sample…

Q: In a survey, 28 people were asked how much they spent on their child's last birthday gift. The…

A:

Q: You are conducting a quantitative research on the study habits and academic performance of the…

A: From the provided information, Standard deviation (σ) = 8 Confidence level = 95% Margin of error (E)…

Q: If the population standard deviation is known to be 4.7 hours, and a random sample of 35 analysts…

A: Given that Sample size n = 35 Sample mean = 50.5 Population SD = 4.7 The critical value of Z at 90%…

Q: Suppose you observe 77 data points from a distribution with standard deviation 8.4, and you…

A: Given that,  σ=8.4,n=77 Critical values: By using the z-table, the critical value at 92% confidence…

Q: Suppose a sample of 30 Statistics students are given an IQ test. If the sample has a standard…

A: Given n=30, sample standard deviations s=12.23

Q: Calculate a ninety-nine (99) percent confidence interval for µ, where n = 100, sample mean = 38, and…

A:

Q: A sample of 49 managers reveals a sample mean of $45,420. The standard deviation of the samp is…

A: As the population standard deviation is not known, we will use t-distribution. The number of degrees…

Q: 3 In a large city the distribution of incomes per family has a standard deviation of $5200. (i) For…

A: According to central limit theorem, if the population is normally distributed or sample size is at…

Q: In a survey, 28 people were asked how much they spent on their child's last birthday gift. The…

A: Since population standard deviation is unknown, Use t-distribution to find t-critical value. Find…

Q: 1- The Internal Revenue Service is studying contributions to charity. The mean calculated from a…

A:

Q: 4. A random sample of 100 public school teachers in a particular state has a mean salary of $31,578.…

A: Given, a random sample of 100 public school teachers in a particular statehas a mean salary of…

Q: mean = 9.4285 Standard deviation= 2.0188 count= 35 students 1. Give and interpret the 95% confidence…

A: From the given information,Mean (x-bar) = 9.4285Standard deviation (σFrom the given information,Mean…

Q: A college admissions officer takes a simple random sample of 96 entering freshmen and computes their…

A: We have to find out lower confidence interval...

Q: 6. A food snack manufacturer samples 7 bags of pretzels off the assembly line and weighs their…

A: The confidence interval measure the range where the true population parameter exist. If the…

Q: Determine the margin of error for the confidence interval for the mean: 21+1.2 The margin of error…

A: Confidence Interval formula for mean is given by, => (X bar + - z* sigma/√n) Where X bar is mean.…

Q: 17. A meteorologist who samples 13 thunderstorms found that the average speed at which they…

A:

Q: From the scores in subject statistics for 8 students, it was found that the mean score is 73 and the…

A: We have given that,  Sample mean (x̄) = 73,  standard deviation (s) = 5.15 and sample size (n) = 8…

Q: Determine the 99.5 percent confidence interval that contains the population variance if the sample…

A:

Q: If the standard deviation is increased and the sample size and the confidence level stay the same,…

A: Error=Z×σn where σ: standard deviation             Z: z-score for the given confidence level…

Q: 7. If n=25 and the sample standard deviation is 15, construct a 95% confidence interval for the true…

A: We have given that, n = 25 , Standard deviation = 15, We need to construct the 95% confidence…

Q: A company wants to estimate the mean time (in hours) per week for an adult who uses computers at…

A:

Q: 4. A cigarette manufacturer claims that its brand of cigarette contains on the average 5mg of tar…

A:

Q: What sample size is needed to estimate a population mean within t 70 of the true mean value using a…

A: According to the provided information, Population standard deviation (σ) = 140.625 Confidence level…

Q: A manager is interested in determining if the population standard deviation has dropped below 138.…

A: Given that the sample size is n = 19, sample SD s = 130 Level of significance is 0.10

Q: 17. A meteorologist who samples 13 thunderstorms found that the average speed at which they…

A: Note: Hi! Thank you for the question. None of the options given with the question match the actual…

Q: In a survey, 12 people were asked how much they spent on their child's last birthday gift. The…

A: Since population standard deviation is unknown, Use t-distribution to find t-critical value. Find…

Q: Suppose you observe 62 data points from a distribution with standard deviation 2.1, and you…

A: Given, n=62 data points standard deviation SD= 2.1, calculated a 92% two-sided confidence interval…

Q: Why is it desirable to have the explanatory variables spread out to test a hypothesis regarding B,…

A: Given problem Given that   Whys is it desirable to have the explanatory variables spread out to…

Q: In a random sample of 100 basketball players,the average vertical jump was 38 inches. If you somehow…

A: a) The margin of error is, Thus, the margin of error is 1.96 inches.

Q: 1. The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month…

A:

Q: 3. Another engineer studies the strength of cables, which has a known population standard deviation…

A: Here we need to obtain the minimum sample size required to obtain a 97% confidence interval.

Q: 2. Construct a 90%, 95%, and 99% confidence interval of the mean weight of fresh oranges if 100…

A: Given : Mean , μ = 180 gm Standard deviation, σ = 30 gm sample size, n = 100 a) Confidence Level =…

Q: In a survey, 23 people were asked how much they spent on their child's last birthday gift. The…

A: Givensample size(n)=23sample mean (x) = 31standard deviation (s) = 8α = 1-0.95=0.05α2=0.025degrees…

Q: Find the error bound for an unknown population mean or the margin of error that corresponds to a 85%…

A: Find the error bound for an unknown population mean or the margin of error that corresponds to a 85%…

Q: A sample of 256 managers reveals a sample mean of $45,420. The standard deviation of the sample is…

A: Given: A sample of 256 managers has a sample mean of $45,420 and a standard deviation of $2,050.…

Q: 2) Wilson Electronics claims that their new line of Plasma TVs will last for 60, 000 hours. A…

A: Obtain the margin of error for the 95% confidence interval. The formula for the margin of error is,…

Q: 14. Find the sample size that will produce the maximum error of a 99% confidence interval for a…

A:

Q: What is the minimum required sample size to make a 96% confidence interval for a population mean if…

A: Margin of error=E=2 Standard deviation=σ=12 96% confidence interval  E=Zc×σ/√n n=sample size

Q: A random sample of 16 employees taken from the management level of the company gives a mean monthly…

A: Given that  Sample size = 16 , Mean = 17000 , Standard deviation = 5500

Q: In a survey, 21 people were asked how much they spent on their child's last birthday gift. The…

A: Margin of error is the error due to random sampling. The margin of error decreases with increase in…

Q: In a survey, 19 people were asked how much they spent on their child's last birthday gift. The…

A: The summary of the statistics is, The degree of freedom is, df=n-1   =19-1   =18 Critical value: By…

Q: In a survey, 41 people were asked how much they spent on their child's last birthday gift. The…

A:

Q: 2. A sample of seven college wrestlers had an average weight of 267 pounds with a sample standard…

A: Given that  Sample size (n)=7  Sample mean = 267  Sample standard deviation (s)= 10  We have to find…

Q: A researcher wishes to estimate the average amount a college student makes over the summer. Assume…

A: (a)compute sample size  n  = (z a/2 *  s.d / me ) ^2z alpha/2 at 0.1 level of significance is =…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.