A carpet manufacturing company is comparing the tensile strengths of two different types of synthetic fiber. Synthetic fiber A used in manufacturing carpet has tensile strength that is normally distributed with mean 75 psi and standard deviation 8 psi, and synthetic fiber B has tensile strength that is 70 psi and standard deviation 12 psi. Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that the sample mean of fiber specimen A exceeds the sample mean of fiber specimen B by 6

Q: The daily production of a factory is normally distributed with mean 6.4 tons and standard deviation…

A: Answer: From the given data, Let X represent the daily production of a factory X is normally…

Q: he ground has been improved to increase the strength of a ground. The average compressive strength…

A: The provided sample means are shown below: Xˉ1=31\bar X_1 = 31 Xˉ2=38\bar X_2 = 38 X Also, the…

Q: ht bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and…

A: Given that    Sample sizes n1=11     , n2=13        Sample means X̄1=1323     , X̄2=1366     s1 =95…

Q: he mg of nicotine in menthol cigarettes is normally distributed and a sample of 25 menthol…

A: Given: s= 0.24 n = 25 The variance can be calculated as: s2=0.242≃0.058 The degrees of freedom will…

Q: (1) Two rubber compounds were tested for tensile strength and the fol- lowing values were found A :…

A:

Q: If the variance of the Electrical Engineering board examination result is 36, what is the minimum…

A:

Q: A random sample of 106 body temperatures taken from healthy adults had a mean of 98.29o F and a…

A: According to the provided information, Mean (x̅) = 98.29 Standard deviation (σ) = 0.62 Sample size…

Q: Population variances o and o, are known. Question: Two kinds of thread are being compared for…

A:

Q: A simple random sample of 10 people from a certain population has a mean age of 27 years. Can we…

A: Given that: Sample size, n=10 Sample mean, x¯=27 Population mean, μ=30 Population variance, σ2=20…

Q: Find a 90% confidence interval for the mean of a normal distribution if population variance is 4 and…

A: Given CL = 0.90 Population variance, σ2=4 Sample size, n=8 9,14,10,12,7,13,11,12

Q: or this study, we should use Select an answer z-test for a population proportion t-test for a…

A: Concept: The one-sample t-test is a statistical technique that used to define whether a sample of…

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: The provided data is,

Q: (20 point) Vital capacity values were recorded for a sample of 10 patients with chronic respiratory…

A: Given Information: The sample size, n=10 The sample variance, s2=0.75 The significance level, α=0.05

Q: A coin operated drink machine was designed to discharge a mean of 8 ounces of coffee per cup. In a…

A: The random variable discharge follows normal distribution. We have to test whether the true mean…

Q: Dr. Moore wanted to estimate the mean cholesterol level for all adult men living in Hartford... He…

A:

Q: C. For the test in part (i), how many degrees of freedom does the distribution of the test statistic…

A: (c) Since p-value associated with Levine's test for equality of variance is 0.048, Which indicates…

Q: State the null and alternative hypotheses for the above scenario.

A: Here the variance is supposed to be known.The main objective is to test whether the valve performs…

Q: During the filling process of a sunflower oil bottling facility, 8 milk bottles were weighed and the…

A: Given: n=8s2=10 The degrees of freedom is obtained as below: df=n-1=8-1=7 The critical value is…

Q: A professor measured her own blood pressure 25 times and found the sample mean to be 128.52, and…

A:

Q: Although, there is a population belief that herbal remedies such as ginko biloba and ginseng may…

A: a. Sample mean is given as 54, population mean is given as 50, standard deviation is given as 12 and…

Q: A farmer grows a particular type of apple which have normally distributed weights with a mean of 150…

A: Given, Mean = 150 Standard deviation = 20   The objective is to find the percentage of apples weigh…

Q: The mean score of a random sample of 22 students’ applicants who took the college entrance…

A: Given :    Sample size (n) =22

Q: The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the…

A: GivenMean(x)=306.2Population variance(σ2)=3.57sample size(n)=55α=0.05standard…

Q: Suppose the number of off springs a female eagle raises during its lifetime has a distribution with…

A: Given information: µ=18 σ2=4 n=45 The total number of off-springs produced by the eagles can be…

Q: The average American consumes 92 liters of alcohol per year. Does the average college student…

A: From the given information, Consider, X be the random variable that shows the amount of alcohol…

Q: In a study of morphological variation in natural populations of fruit fly, it was reported that the…

A:

Q: Polokwane Butchery supplies Vienna sausages in the entire of KZN province. An Inspector from the…

A: Determine the number of packs that need to be sampled. The number of packs that needs to be sampled…

Q: he average height of students at a school from an SRS of 12 students gave a standard deviation of…

A: Given: Sample size, n=12 Standard deviation, s=2.5 We need to construct a 95% confidence interval…

Q: na test of the effectiveness of garlic for lowering cholesterol, 42 subjects were treated with…

A:

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: given data  n = 130 x¯ = 5.1σ2 = 0.25α = 0.05claim : μ > 5we have to state null and alternative…

Q: he daily production of a factory is normally distributed with mean 7.8 tons and standard deviation…

A: Answer: From the given data, Mean (μ) = 7.8 Standard deviation(σ) = 0.65 Sample size(n) = 23

Q: A manufacturer of bicycle tires has developed a new design that he claims has an average life span…

A: Z-test hypothesis is used here to test the difference of the population and sample means at 5% level…

Q: A test is conducted for equality of two population means assuming equal population standard…

A: Given: Hypothesis of interest             H0: μ1=μ2       Sample sum of squares        SS1 =…

Q: Suppose the number of off springs a female eagle raises during its lifetime has a distribution with…

A: Let X denote the number of off springs a female eagle raises during its lifetime. Given that X…

Q: suppose diastolic blood pressure in hypertensive women centers about a mean of 100 mm Hg with a…

A: Let X=diastolic blood pressure in hypertensive women Given that X follows a normal distribution with…

Q: The ages of registered voters in Smith County are normally distributed with a population standard…

A: The summary of the statistics is, Critical value: By using the z-tables, the critical value at 5%…

Q: it of a specific type of a cable is random variable with mean value of 1500 kg and standard…

A: Xˉ=1570 σ=175 n=50 μ=1500 As the population standard deviation is not known, we will use the z test.…

Q: A researcher is studying how much electricity (in kilowatt hours) people from two different cities…

A: Introduction: Denote μ1, μ2 as the true mean number of kilowatt hours in Nashville and Cincinnati,…

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.