A tire manufacturer would like to estimate the average tire life of its new​ all-season light truck tire in terms of how many miles it lasts. Determine the sample size needed to construct a 97​% confidence interval with a margin of error equal to 2,500 miles. Assume the standard deviation for the tire life of this particular brand is 8,000 miles.   The sample size needed is ​(Round up to the nearest​ integer.)

Q: A random group of 36 people in Toms River were asked “how much money did you spend at the grocery…

A: Given: Sample mean x¯=149.50 Sample size (n) = 36 Sample standard deviation (s) = 22.50 Confidence…

Q: For 30 randomly selected Rolling Stones concerts the mean gross earnings is 2.59 million dollars.…

A:

Q: The standard deviation of the weights of elephants is known to be approximately 15 pounds.  We wish…

A: Sample mean = x̅ = 244 Sample size = n = 50 Population S.D = σ = 15 Standard Error = σ/√n  =…

Q: A professor is trying to find the average exam grade in his class. The sample mean should be within…

A: It is given that confidence level is 0.90, standard deviation is 12 and margin of error E is 5.

Q: You want to estimate the mean time college students spend watching online videos each day.  The…

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Q: The operations manager of a large production plant would like to estimate the average amount of time…

A: Given:Confidence level = 91.28%

Q: A car repair business randomly selects receipts for parts purchased on 16 different jobs. The mean…

A: given data, n=16x¯=31.32s=30.42CI=0.95α=1-0.95=0.05df=n-1=16-1=15we  have to construct the 95%…

Q: A tire producer wants to test whether the mean diameter of the tires produced on a given day equals…

A: Given Information: Sample size (n) = 48  Mean Diameter (u) = 36.4 inches Standard Deviation (s) =…

Q: You are a researcher for the National Highway Traffic Safety Administ estimate the average blood…

A: Given that,The sample size is The sample mean BAC (Blood Alcohol Concentration) is The known…

Q: A sample of 22 households uses an average of 346.2 gallons of water per day, with a sample standard…

A: The sample size is 22, sample mean is 346.2 and sample standard deviation is 50.5.

Q: the standard deviation of the 16 observations was 0.95 inches (again, the sample mean was 17.2).…

A: Given :  Standard deviation of the 16 observations was 0.95 inches & the sample mean was 17.2.…

Q: In a random sample of ten ​people, the mean driving distance to work was 19.2 miles and the…

A:

Q: The operations manager of a large production plant would like to estimate the average amount of time…

A: The standard deviation is 7 minutes; σ=7minutes Margin of error=22 seconds Confidence level is…

Q: A local police department made an effort to determine the average speed of automobiles travelling…

A:

Q: he average weight of 20 randomly selected cars was 3500 pounds. The sample standard deviation was…

A: given data, n=20df=n-1=20-1=19x¯=3500 pounds s=315 pounds CI=0.90α=1-0.90=0.10

Q: A random sample of 11 fields of spring wheat has a mean yield of 20.2 bushels per acre and standard…

A: Sample size, n=11 Sample mean, x¯=20.2 Sample sd, s=5.19 CL=0.99

Q: How much do wild mountain lions weigh? Six adult wild mountain lions are captured and released.…

A: Given data , 68, 104, 128, 122, 60, and 64.

Q: 2. In a recent study of 35 college students, the mean number of hours per week that they played…

A: According to the given information in this question  We need to find the 95% confidence interval

Q: A large urgent care center with 4 doctors found that they can see an average of 28 patients per…

A: We have given that Sample size (n) = 41Sample mean (x̅) = 28Standard deviations (s) =…

Q: Construct a 90% Confidence Interval for the mean.

A: Let  be the population mean of water per day.Given that,Sample size Sample mean Sample standard…

Q: Find a 95% confidence interval for the difference between full attendance students' Exam 5 score and…

A: We have given data,  Less attendance Full attendance 90 96 90 96 60 100 50 99 69   88…

Q: A runner wants to know her average mile running time. She records a sample of 25 running times. The…

A: Solution: Let X be the mile running time. From the given information, x-bar=6.5 minutes, s=0.7…

Q: You measure 29 backpacks' weights, and find they have a mean weight of 46 ounces. Assume the…

A:

Q: A survey of first time homeowners found that the sample mean annual income was $53,000. Assume that…

A:

Q: The lead levels in a random sample of 35 crows in the region were measured and recorded. The mean…

A: It is given that  Sample size n = 35 Sample mean M = 4.50 Sample SD s = 1.12 Confidence level = 99%…

Q: Why is the phrase “goodness of t” used to describe the type of hypothesis test considered in this…

A: In this section, the test is to check how well the observed frequencies match with the expected…

Q: A sample of 22 public high school students spent an average of 6.5 hours studying per week. Assuming…

A:

Q: The prices of used books at a large college bookstore are normally distributed. If a sample of 23…

A:

Q: Calculate the lower endpoint of a two-sided 95% confidence interval for the population mean using…

A: given data sample size (n) = 41sample mean ( x¯ ) = 11.92population standard deviation (σ) = 1.8195%…

Q: for a sample of 150 that has a mean of 6540 and a standard deviation of .89, calculate the 95%…

A: It is given that mean and standard deviation are 6,540 and 0.89, respectively.

Q: A food snack manufacturer samples 11 bags of pretzels off the assembly line and weighs their…

A:

Q: Let X₁, X2, X3, be a r. s. from normal distribution with mean 0 and variance 1, let the prior…

A:

Q: A popular weight loss program claims users will lose weight each month. Linda samples 25 dieters and…

A: We have given that,  Sample mean (x̄) = 10 pounds, standard deviation (s) = 2 pounds and sample size…

Q: Find a 99% confidence interval for μ.

A: The sample size is n = 7 Sample mean = 46.14 Sample SD s = 1.19 At 99% confidence level and df = (n…

Q: In a random sample of six ​people, the mean driving distance to work was 24.3 miles and the…

A:

Q: A NAPA Auto Parts supplier wants information about how long car owners plan to keep their cars. A…

A: From the provided information, Sample size (n) = 41 Sample mean (x̅) = 7 Sample standard deviation…

Q: company manufactures a certain over-the-counter drug. The company samples 80 pills and finds that…

A: We have given that  Sample size n = 80 Sample mean = 325.5 Standard deviation s=10.3 90%confidence…

Q: for a sample of 57 that has a mean of 6200 and a standard deviation of 254, calculate the 95%…

A:

Q: or a sample of 121 that has a mean of 6540 and a standard deviation of 780, calculate the 90%…

A:

Q: A small business wanted to estimate the mean income from their customers. They took a sample of 256…

A: We have to find  the 90% confidence interval estimate for the population mean income of their…

Q: Sales personnel for City Distributors Inc. submit weekly reports listing the customer complaints…

A: Given Information: Sample size (n) = 8 Sample mean (x¯) = 8 Sample standard deviation (s) = 3.464 To…

Q: You measure 27dogs' weights, and find they have a mean weight of 63 ounces. Assume the population…

A:

Q: If the sample mean is 37.7 and population standard deviation is = 9.2 and the sample size is 100…

A: Provided that the sample mean x¯=37.7 and the population standard deviation σ=9.2. The sample size…

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.