b) Let Y be the mean of sample of size n from a normal distribution with mean and variance 100. i. Find n so that Pu-5<Ý <μ+5)= 0.954
Q: For a population that has a standard deviation of 10, figure the standard deviation of the…
A: Given that Population standard deviation =10 Then we have to find the standard deviation of the…
Q: The length of a movie file that is available for streaming is modeled using the normal distribution…
A:
Q: The length of a movie file that is available for streaming is modeled using the normal distribution…
A: Let X be the random variable from normal distribution with mean (μ) = 190.3 and standard deviation…
Q: If Y1, Y2, ... , Yn denote a random sample from the normal distribution with unknown mean u and…
A:
Q: What is the z-score for an exam mark of 80
A: Given that μ = 71 and σ = 6 And we have to find the z score for an exam mark of 80.
Q: Suppose the income of workers at your job follows a normal distribution. If you standardize their…
A:
Q: Suppose x has a normal distribution with mean μ = 36 and standard deviation σ = 8. Describe the…
A: Given data, μ = 36 σ = 8
Q: Round your answers to two decimal places as needed. Mean: Variance: Standard Deviation: Range of…
A: Given that Class Frequency (f) Mid value (x) f⋅x f⋅x2 =(f⋅x)×(x) 0-20 620 10 6200 62000 20-40…
Q: Let u be the average of grades obtained by students on a test. A group x1, x2, students was…
A: Introduction - z-test z=x-μσwhere ,x=score μ=mean s=standard deviation
Q: In a contest, a participant is blindfolded and then he is asked to put a very thin sticker on a…
A: The term probability is defined as the chance of occurrence of an event. The given data follows a…
Q: Assume that a randomly selected subject is given a bone density test. those test scores are normally…
A: Let X be the random variable from standard normal distribution with mean (μ) = 0 standard deviation…
Q: tate College is evaluating a new English composition course for freshmen. A random sample of n = 25…
A: Solution: Given information: n=25 Sample size M= 76 Sample mean μ=70 Population mean σ= 20…
Q: Suppose x has a normal distribution with mean u = 42 and standard deviation o = 13. Describe the…
A: Mean of the sampling distribution of the sample mean. Standard deviation of the sampling…
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: (a). Test whether the contents of cans of diet soda have weights with a mean that is less than the…
Q: fo (b) What is the mean and standard deviation of the sampling distribution of x assuming u = 4 and…
A: Given that Sample size n =40 Population mean μ =4 Population standard deviation =2
Q: In a recent SAT, the mean score for all examinees was 1020. Assume that the distribution of SAT…
A:
Q: Find the mean adn standard deviation of the indicated sampling distribution of sample means. Then…
A: Mean=96.8 , Standard deviation=0.61
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts. In case…
Q: Find the S.D. of a binomial distribution where, Mean is 5 and μ3 = 0.5.
A:
Q: Given that Sand S are the variances of independent random variables from normal populations with…
A: Given information: σx2=10σy2=15nx=25ny=31
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: a. The claim of the test is that the contents of cans of diet soda have weights with a mean that is…
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: Given, The degrees of freedom is obtained as- A.The hypothesis to be tested here is given as:…
Q: For the standard normal curve, find the z-score that corresponds to the third quartile then find the…
A: To find the Z-score for the first quartile and third quartile for a standard normal curve.
Q: The area covered by 1 L of a certain stain is normally distributed with mean 10 sq.m and a variance…
A:
Q: amdom variable with a mean =13.2 and standard deviation =5.6 Ramdom samples of fixed size n=12 are…
A: As the population distribution is normal, it can be said that the distribution of the sample with…
Q: Can a normal approximation be used for a sampling distribution of sample means from a population…
A:
Q: 2. Develop a UMP test for Họ: µ=75 versus Ha: u>75 in a normal distribution with variance equal to…
A: given that,variance, σ^2 =10standard deviation, σ =10null, h0: μ=75 alternate, h1: μ>75level of…
Q: From a population with mean=260 and variance%3D86, we took a sample of size 61 then the sampling…
A: According to the central limit theorem, when a sample of size n is drawn from any population with…
Q: Let the X-values represent the times, in minutes, of preparation for a Statistics test; let the…
A:
Q: The GPAs of all 5540 students enrolled at a university have an approximately normal distribution…
A: The sampling distribution is the representation of all possible samples drawn from the large…
Q: If x has a normal distribution with mean u=15 and standard deviation o=3, describe the distributin…
A: Given information, μ=15σ=3 Given sample sizes, n=4, n=16, n=100. The sampling distribution for n=4:…
Q: Suppose x has a normal distribution with mean μ = 51 and standard deviation σ = 12. Describe the…
A: Mean of the sampling distribution of the sample mean.
Q: Suppose x has a normal distribution with mean μ = 51 and standard deviation σ = 12. Describe the…
A: Mean of the sampling distribution of the sample mean.
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: Given: The descriptive statistics is given below Sample size Sample mean Sample standard…
Q: Assume that the population has a normal distribution. 5) The mean replacement time for a random…
A:
Q: (a) 60% of the distribution below it, (b) 75% of the distribution below it, (c) 80% of the…
A: standard normal distribution Z~N(0,1) we have to find value of z such that (a) 60% of the…
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: (A) State the hypotheses. That is, there is evidence that the contents of cans of diet soda have…
Q: (c) Perform the analysis of variance (ANOVA) at the a = 0.05 to identify is there any significant…
A: The ANOVA is used to compare the more than two population group means. While, the ANOVA is works…
Q: The annual rainfall in a certain region is modeled using the normal distribution shown below. The…
A:
Q: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the…
A: A) What are the null and alternative hypotheses H0 : μ1=μ2 H1 : μ1<μ2 The test…
Q: The height of an 8th grader is modeled using the normal distribution shown below. The mean of the…
A: ANSWER:- We know that, the normal distribution is a bell-shaped , symmetrical distribution in which…
Q: Suppose x has a normal distribution with mean u = 37 and standard deviation g = 15. Describe the…
A: Sampling Distribution of a Normal Variable : Given a random variable X. Suppose that the…
Q: Suppose x has a normal distribution with mean μ = 50 and standard deviation σ = 11. Describe the…
A: Let X follows normal distribution with mean μ = 50 and standard deviation σ = 11. For n = 4 The mean…
Step by step
Solved in 2 steps with 1 images
- Let x1, x2, . . . , x100 denote the actual net weights (in pounds) of 100 randomly selected bags of fertilizer. Suppose that the weight of a randomly selected bag has a distribution with mean 75 lbs and variance 1 lb2. Let x be the sample mean weight (n = 100). (a) Describe the sampling distribution of x. The distribution is approximately normal with a mean of 75 lbs and variance of 1 lb2.The distribution is approximately normal with a mean of 75 lbs and variance of 0.01 lbs2. The distribution is unknown with a mean of 75 lbs and variance of 0.01 lbs2.The distribution is unknown with a mean of 75 lbs and variance of 1 lb2.The distribution is unknown with unknown mean and variance. (b) What is the probability that the sample mean is between 74.65 lbs and 75.35 lbs? (Round your answer to four decimal places.) P(74.65 ≤ x ≤ 75.35) = (c) What is the probability that the sample mean is greater than 75 lbs?For a sample from a normal distribution with standard deviation σσ, the standard deviation of the sampling distribution of the sample mean is σ/8σ/8. What is the size of the samplelet x be a ramdom variable with mean= 150 and standard deviation =4.2. Ramdom samples of fixed size n=30 are drawn from the distribution of x. determine the distribution, mean, and standard deviation of sample mean
- let x be a normal ramdom variable with a mean =169.5 and standard deviation =4.2 ramdom samples of fixed size n=30 are drawn from the distribution, mean, standard deviation od sample meanA researcher in a scientific foundation wished to evaluate the relation between intermediate and senior level annual salaries of research mathematician (Y, in thousand dollars) and an index of publication quality (X1), the number of years experience (X2), and an index of success in obtaining grant support (X3). A. Determine the R2 and adjusted R2. B. Determine the significant factors. C. Determine if the residual follows a normal distribution . Determine if the variance is constant over time. Find the leasts-squares regression equation. The data for a sample of 24 intermediate and senior level research mathematicians follow.can you please provide explanations
- Suppose x has a normal distribution with mean μ = 57 and standard deviation σ = 7.Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.)The height of an 8th grader is modeled using the normal distribution shown below. The mean of the distribution is 59.1 in and the standard deviation is 1.2 in. In the figure, Vis a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 56 58 60 62 Height (in inches)Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 20 20 x 0.78646 lb 0.80233 lb s 0.00449 lb 0.00755 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is…
- The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) ▼ 200 35 | 55 25 30 40 45 50 ( cm) Submit Continue |Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use DIl S0 FB F7 esc F3Suppose x has a normal distribution with mean μ = 28 and standard deviation σ = 7.Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx = σx = How do the x distributions compare for the various samples sizes? The means and standard deviations are the same regardless of sample size. The means are the same, but the standard deviations are increasing with increasing sample size. The standard deviations are the same, but the means are increasing with increasing sample size. The standard deviations are the same, but the means are decreasing with increasing sample size. The means are the same, but the standard deviations are decreasing with increasing sample size.Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 26 26 x 0.78073 lb 0.80038 lb s 0.00447 lb 0.00745 lb Question content area bottom Part 1 a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1>μ2 B. H0: μ1=μ2 H1: μ1<μ2 Your answer is correct. C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Part 2 The test statistic, t, is…