To assess the precision of a laboratory scale, we measure a block known to have a mass of 1 gram. We measure the block n times and record themean of the measurements. Suppose the scale readings are Normally distributed with unknown mean u and standard deviation o=0.001 g. Howlarge should n be so that a 99% confidence interval for u has a margin of error of ±0.00001?O 54,103O 10,000O 258O 66,358

The standard deviation is g.The level of confidence level is .The margin of error is The mean is…

Answered: To assess the precision of a laboratory…

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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Cindy is a server at a local restaurant who makes, on average, $58 in tips per daytime shift. Cindy thinks she will make more if she moves to the nighttime shift. Her manager will choose five random nighttime shifts for Cindy to work. Cindy plans to conduct a significance test on the hypotheses H0: mu = 58; Ha: mu > 58 at the alpha = 0.05 level, where is the true mean amount of tips Cindy will make working nighttime shifts. Are the conditions for performing the test met? No, the 10% condition is not met. No, the sample size is too small, and a Normal distribution cannot be assumed. Yes, all conditions are met for performing a significance test about the mean. Yes, only the random condition must be met in order to perform a significance test. No, there is no way the manager could choose a random sample of shifts to work.
Figure 1 shows sample means from samples of size n=100 from a population. Estimate the value of the population parameter and estimate the standard error for the sample statistic. (Please see the picture attached.) μ= SE=
Test the claim about the population mean,μ,at the given level of significance using the given sample statistics. Claim: μ≠6000 α=0.07 σ=330 Sample statistics: x=5600 n=32
Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H1 : o? + of. Which of these test statistics should we use? Select one: O a. W = (n-1)s O b. Z X-P O c. T = S/n Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
Find the standardized test statistic t for a sample with n = 10, xbar= 12.7, s = 1.3, and α = 0.05 if H0: μ ≥ 13.6. Round your answer to three decimal place
The minimum sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is A. 62 OB. 9 C. 8 O D. 61 A random sample of 64 observations has a mean of 30. The population variance is assumed to be 9. The 85.3% confidence interval estimate for the population mean (to the third decimal place) is O A. (28.369, 31.631) O B. (29.383, 30.617) O C. (29.456, 30.544) O D. (28.560, 31.440)
A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8
What is the critical value? A. 2.33 B. 2.492 C. 2.575 D. 2.797
A marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15
The pulse rates of 152 randomly selected adult males vary from a low of 40 bpm to a high of 104 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 98% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n3= (Round up to the nearest whole number as needed.)
Given that we have a mass "x" (in grams) of a certain object and it will be estimated using the average of several measurements. Suppose the measurements are treated independently and identically distributed random variables, each with mean "x" and variance 3. How many measurements need to be made so at least 95% sure that the estimate is within 0.7 grams of the real value? Note: Must be a whole number.

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