In heavy metal industry, a factory use machine to cut rods. A random sampleof 10 rods were selected and the length was measured. The resulting data inmillimeter are shown in Table 2(a).Table 2(a): Metal Rods8.238.308.278.228.298.398.218.388.358.37Estimate the 98% confidence interval of the mean rod length.

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Answered: In heavy metal industry, a factory use…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average age of licensed drivers in a county is (population mean = 42.6), (population standard deviation =12), and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers recieving speeding tickets differed from the average age of the driving population. she obtained a sample of N=16 drivers recieving speeding tickets. The average age for this sample was M=34.4. Perform the six steps of hypothesis testing (outlined below) necessary to determine whether this group differs from the population of drivers in the county (using an alpha level of p< .05). athen, calculate the 95% confidence interval and effect size.
A student would like to estimate the proportion of students at his school who have lunch during period 4. To do so, he selects a random sample of 40 students and finds that 30% of them have period 4 lunch. Later, he goes to the guidance office and finds that of the 380 students at this school, 25% of them have period 4 lunch. Which of the following properly describes the number, 25%? O sample O statistic O population O parameter Save and Exit Next Submit Mark this and return hp $ & 4. 6. 7 8 e r y f j k
A boat capsized and sank in a lake. Based on assumption of mean weight of 131 lb, the boat was rated to carry 70 passengers (so the load limit was 9,170 lb). After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 173 lb. Complete parts a and b below A. Assume that a similar boat is loaded with 70 passengers, and assume that the weight of people are normally distributed with a mean of 180.7 lb and a standard deviation of 39.2 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 131 lb
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Engineers randomly select 8 of the parachutes and measures the "tearing strengths" of each parachute canopy. The sample mean is 21.7 Newtons, and the standard deviation is 0.23 Newtons. Construct a 99.7% confidence interval for the true mean tearing strength of the parachutes. Round the numbers to 1 decimal place.
An arborist is interested in determining the mean diameter (in centimeters) of mature white oak trees at a certain height above the base. She measures 7 of these trees and finds the following sample statistics: F = 49.09 and s = interval for the mean diameter of a mature white oak tree. 13.80. Construct a 95% confidence
An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₁: H₁ C a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? H₂ H₂ No candy Two candies B. Ho: M₁ = H₂ H₁: H₁ H₂ D. Ho: H₁ μ H₁ H₂ H₂ H₁: M₁
A study of buimia among college women studied the connection between childhood sexual abuse and family cohesion (the higher the score, the greater the cohesion). The sanmple mean on the family cohesion scale was 2.3 for 14 sexually abused students (s=1.5) and 4.8 lor 13 non-abused students (s = 3.1). Assume equal population standard deviations. a. Find the standard error for comparing the means. se Round to six decimal places as needed.)
A sample of eight math SAT scores is given below: 600530560700630640580680600530560700630640580680 Find the first and third quartiles and the interquartile range for this sample. First Quartile = Third Quartile = Interquartile Range =
200 people were randomly sampled and asked what they regularly eat for breakfast or lunch. Each person was identified as either a consumer or a non consumer of high-fiber cereals, and the number of calories consumed at lunch was measured and recorded. These data are summarized below; Consumer of high fiber cereals Non consumer of high fiber cereals η1 =41 η2 = 159 Mean 1 =603 Mean 2 =639 Stanadard deviation 1 = 110 Standard deviation 2 = 141 If the scientist claims that people who eat high fiber cereals for breakfast do consume on average fewer calories for lunch than people who don’t eat high fiber cereals for breakfast, and if it is true, high fiber cereal manufacturer will be able to claim another advantage of eating their products-potential weight reduction for dieter. REQUIRED Are there sufficient evidence at 5% significance level to support the above claim?
Consider a sample data with x=25 and s=2. Compute a chebyshev’s interval for which at least 89% of the data will lie?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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