(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the criticalvalue for the 95% confidence interval for the population mean.(In the table, Z refers to a standard normal distribution, and t refers to a t distribution.)Sampling scenarioZ tCould useUncleareither Z or tThe sample has size 105, and itdistributed population.from a non-normallyThe sample has size 19, and it is from a normally distributedpopulation with an unknown standard deviation.The sample has size 17, and it is from a normally distributedpopulation with a known standard deviation of 52. You would like to construct a 95% confidence interval to estimate the population mean PCB (Polychlorinated biphenyl) level in white croaker fish from the SanFrancisco Bay. The random sample we select has a mean of 620 parts per million and a standard deviation of 55 parts per million.(a) What is the best point estimate, based on the sample, to use for the population mean?parts per million(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the criticalvalue for the 95% confidence interval for the population mean.(In the table, Z refers to a standard normal distribution, and t refers to a t distribution.)Could useUnclearSampling scenarioeither Z or tThe sample has size 105, and it is from a non-normallydistributed population.

Given that, the random sample we select has a mean of 620 parts per million and a standard deviation…

Answered: (b) For each of the following sampling…

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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Assume that you have a sample of n1=8, with the sample mean x1=44, and a sample standard deviation of s1=5, and you have an independent sample of n2=14 from another population with a sample mean of x2=35, and the sample standard deviation s2=6. Construct a 95% confidence interval estimate of the population mean difference between m1 and m2. Assume the the two population variances are equal.
The degrees of freedom for a confidence interval for the mean in either a t-distribution or single variance in y2- distribution is d.f. = n- 1 O True x²- O False
4. The t statistic, the t distribution, and sample size The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 25 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.2 years and a sample variance of 32.5 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM=1.1402 . The t statistic is1.05 . Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is . The new t statistic is .…
The following information is available for two samples selected from independent normally distributed populations. Population A: n1=30 S2/1=36 Population B: n2=30 S2/2= 25 What is the value of FSTAT? FSTAT=________ (Round to two decimal places as needed.)
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shoun below. At g= 0.01, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below Burger Stop X = $8.65 Fry World X2 = $8.02 S, = $0.77 S2 = $0.75 n1 = 12 n2 = 10 (a) Identify the claim and state H, and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." O B. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O C. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." O D. The…
4. Find a 95% confidence interval for the difference of two means when you have independent samples, both of size 64, from two populations, in which the variances are not known to be equal. In this case, n₁-64, s₁²=6.1, the first sample mean is equal to 7.9; n2 =64, s2²-10.4, the second sample mean is equal to 8.5 Interpret the interval once you find it. Namely, can you conclude one mean is greater than the other mean and if so, which one?
The marketing manager of a large multinational corporation is concerned that some salespersons perform very well and others quite poorly. To help analyze the problem he draws a random sample of 20 salespersons, determines their commission incomes, and calculates the following statistics: x = $37.2, and s = $7.6. Use a 0.05 to test whether the population variance exceeds $35. Ho: o² ≤ 35 Ha: o² > 35 (A) Reject H。 if x² ≥30.1435 (B) Reject H₁ if x² ≥32.8523 (C) test statistic is 31.355 (D) Conclusion: Ho cannot be rejected
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One sample has M = 18 and a second sample has M = 14. If the pooled variance for the two samples is 16, what is the value of Cohen’s d?
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 13 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.20 gram. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.06 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) ____________ hummingbirds
A sample of size 5 was collected from an unknown population 15 15 16 16 17 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 5 -1.2 -0.5 0 0.5 1.2 -1 19 18 normal O not normal Clear All Draw: 17- 16- 14 T 15- رها 1 2 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?
You wish to test the following claim (Ha) at a significance level of a 0.01. Ho:H1 = 42 Ha:H1 > H2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 = 25 with a mean of M1 = 52.5 and a standard deviation of SD, = 9.1 from the first population. You obtain a sample of size n2 = 18 with a mean of M2 = 48.7 and a standard deviation of SD2 = 5.2 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the…

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