To test for the difference in means, px - Hy, from two independent samples with the variance unknown but assumed equal, calculate the relevant test statistic given that 2. = 54 8, s = 85.76, s =71.38, 1 = 14, n, = 16, x = 555 and y = 575.

Q: 1)Suppose you drew a random sample,n of 100 from a population and found mean =30, standard deviation…

A: Answer - Suppose you drew a random sample, n = 100 from a population and found mean μ = 30, standard…

Q: The table below shows a sample of waiting times​ (in days) for a heart transplant for two age…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of…

A: Given: x and y are the length of two pieces of pipes and producing the length of the pipes are…

Q: Suppose we guess a model with four explanatory variables with 25 observations. Also, suppose that…

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Q: A random sample of 10 subjects have weights with a standard deviation of 11.4348 kg. What is the…

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Q: manufacturer of a popular antibiotic must ensure that each 55-mL dose contains 250250 milligrams…

A: Given : Claim : The variance of the amounts of active ingredient per dose be less than 0.30

Q: A random sample of 10 subjects have weights with a standard deviation of 12.932812.9328 kg. What is…

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Q: A random sample of 10 subjects have weights with a standard deviation of 9.7246 kg. What is the…

A: We have given that  Sample size=n=10 Sample standard deviation=9.7246

Q: The null hypothesis asserts that the variance is less than 6. A random sample size of 26 is drawn…

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Q: A certain type of thread is manufactured weh a mean tensle strength of 75.3 klograms and a standard…

A: We have given that a certain type of thread is manufactured with a mean tensile strength of 75.3 kg…

Q: A 95% CI for true average serum-creatinine level was calculated as  (3.81, 3.95), based on a sample…

A: The 95% confidence interval is (3.81, 3.95).

Q: Compute the values a and b such that the fit of type aX+b provide the desired mean and variance?

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Q: Suppose samples are taken from a population of heifers with known mean and standard deviation of…

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Q: A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of…

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Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

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Q: We have to test the null hypothesis that the correlation coefficient p of a bi-variate normal…

A: Given : Correlation coefficient = r = 0.4

Q: A random sample of 10 subjects have weights with a standard deviation of 12.2153 kg. What is the…

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Q: For an experiment it is randomly collected 40 number of observations and it is not known ex-ante…

A: Given information: The sample size is n = 40. The individual monthly salaries are summed to $20000.…

Q: Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and…

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Q: Based on these two samples, we can conclude the following about this test at α

A: Here two independent samples are given . Given values are- Sample size (n1)=6    , Sample size…

Q: Two different formulas of an oxygenated motor fuel are being tested to study their road octane…

A: Here, Variance for Red Octane Number for Formula 1 (σ12) = 1.5 => Standard Deviation for Red…

Q: The standard error of 1 - 2 is the variance of 1 - ã2 variance of the sampling distribution of 1 –…

A: Standard error: Standard error of the mean is the standard deviation of the sampling distribution of…

Q: The area covered by 1 L of a certain stain is normally distributed with mean 10 sq.m and a variance…

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Q: Scores made on a certain aptitude test by nursing students are approximately normally distributed…

A: Given:-   mean(μ) =500variance (σ2) =10000standard deviation(σ) = 10000 =100we have to calculate…

Q: PSOHS had administered an IQ level test to 15 randomly selected G11 students. And the result they…

A: From the provided information, Sample size (n) = 15 Sample mean (x̄) = 110 Standard variance (s2) =…

Q: A medical researcher wishes to see whether the variance of the heart rates (in beats per minute) of…

A: The null and alternative hypotheses are given below. H0: σ12 = σ22 H1: σ12 ≠ σ22 The test statistic…

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

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Q: A random sample of 10 subjects have weights with a standard deviation of 10.6705 KG. What is the…

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Q: For a data set of 10 values of x and y, the value of SSw = 83, the standard deviation of errors for…

A: The test statistic is given as, t=bSb where, Sb=SyxSSxxn-1 Where, b= sample regression coefficient.…

Q: The Mean and Standard Deviation of a series of 100 items were found to be 60 and 10 respectively.…

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Q: Let X1, X2,.. , X, be a random sample from a normal distribution with mean 0 and variance 4, let Y1,…

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Q: company has found that its profits Y are related to its sales X by the formula   Y = 0.2X + 100. If…

A: The profits of y is, Y=0.2X+100. The next year’s sales have a Normal distribution with a mean of…

Q: At ? = 0.10, can it be concluded that there is a difference in means of hours spent for studying…

A: When we assumed population variances are unequal then the two sample t- test formula is defined as…

Q: How many students whose scores are within 90 to 110

A: We have given that the random variable X that is  score of students is normally distributed with…

Q: The heights of grade 11 students are normally distributed with an average height of grade 11…

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Q: It is known that the average weight of babies born in a maternity ward is 3.2 kg and the variance of…

A: Given that μ=3.2kgσ2=0.09 kg2σ=0.3 kg a) Consider, the probability of babies weigh more than 4 kg…

Q: The cholesterol levels of adult males are approximately normally distributed with a mean of 224…

A: (a) Let σ2 be the population variance of cholesterol levels. The claim is that the population…

Q: the value used in the equation for the t-test for independent means that approximates the sample…

A: In order to compute the test statistic, it is appropriate to approximate the sample size by…

Q: In the population, IQ scores are normally distributed with a mean of 100 and standard deviation of…

A: Given, n = 50μ= 100        x = 92σ = 15         s = 8Level of significance = α = 0.05 The null and…

Q: Past experience indicates that the time for high school seniors to complete a standardized test is a…

A: Sample size is n = 20 Sample mean = 33.1 And sample SD = 4.3 Level of significance = 0.01

Q: A random sample of 10 subjects have weights with a standard deviation of 13.0649 kg. What is the…

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Q: The weights of a bag of cement admixture produced by a company is approximately normally distributed…

A: GivenMean(μ)=8.0 kilogramsVariance(σ2)=0.64 kilogramsstandard deviation(σ)=0.64=0.8 kilograms

Q: The average score on a statistics test was 2.52 with a standard deviation of 0.75. The teacher…

A: Given : E(x) =2.52, SD(x) =0.75 Var(x)=0.752 =0.5625 New score is y=ax+b Such that : E(y) =3.58…

Q: The means of two random samples of size 9 and 7 are 196-42 and 198.82 respectively. The sum of the…

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Q: A certain type of thread is manufactured wen a mean tensile strength of 75.3 klograms and a standard…

A: For a derived population with mean (i.e., the mean tensile strength) μ and standard deviation (i.e.,…

Q: The average height X and weight Y of males in population have a bivariate normal distribution with…

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Q: Consider an engine parts supplier and suppose the supplier has determined that the mean and variance…

A: The population mean=μ=2.5 and the population variance (σ2) =0.00075. Sample size=n=20. Sample…

Q: The life of light bulbs is distributed normaly, The variance of the lifetime is 900 and the mean…

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Q: Suppose the length of human pregnancies from conception to birth varies according to a distribution…

A: We have to find variance for given data.