oup of scientists studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. If the scientists want the confidence interval to be no wider than 0.55 dyne-cm2 at 99% confidence interval, how many observations should they take? Assume that the standard

oup of scientists studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. If the scientists want the confidence interval to be no wider than 0.55 dyne-cm2 at 99% confidence interval, how many observations should they take? Assume that the standard

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Description: A group of scientists studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. If the scientists want the confidence interval to be no wid

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A weight loss program claims that program participants have a mean weight loss of at least 12 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation 4. At α = 0.03, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.1 5.2 6.5 6.9 7.2 8.7 9.2 9.4 9.5 9.7 11.1 11.2 11.6 11.6 11.9 (a) Identify Ho and H₂. Choose the correct answer below. O A. Ho: μ ≥ 12 H₂: 12 7.3 7.4 9.7 10.1 12.4 12.5 O E. Ho: μ 12 H₂:μ≤ 12 O D. Ho: μ#12 H₂:μ = 12 OF. Ho: H=12 H₂:μ#12 8.5 10.6 15.2
Assume that ui and µ2 are the averages of maximum speeds of new high-tech electric scooter types. Use the t test at significance level 0.01 to test Ho: µi - µ2 = -18 versus H.: μι - μ2<18 for the following data: ni = 6, x1=117.8, si=5.06, n2 = 6, xz= 128.2, and s2 = 5.28. (where n, , and s denote the sample size, sample mean and sample standard deviation respectively.) %3D
A random sample of 9 size AA batteries for toys yield a mean of 3.66 hours with standard deviation, 1.05 hours. (a) Find the critical value, t, for a 99% CI. t = (b) Find the margin of error for a 99% CI.
A random sample of 25 night students was taken with a sample mean GPA of 2.86 and a standard deviation of 0.06. A random sample of 30 day students was taken with a sample mean GPA of 2.88 and a standard deviation of 0.07. Test the claim that the mean GPA of night students (μ) is different from the mean GPA of day students (μD) at a = 0.05. Assume that the data come from normal populations with unequal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): Ho: ên p σ΄ UN Td μD = v pО µÑ¯ Êµ¯Ñ¿© µD Ha: pOād up μι ên # PO μN X d This test is two-tailed. What is the test statistic? HD ên Part 2 of 4
Currently patrons at the library speak at an average of 64 decibels. Will this average change after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 69 people speaking at the library. Their average decibel level was 61.7 and their standard deviation was 6. What can be concluded at the α = 0.05 level of significance? H0:H0: ? μ p Select an answer > ≠ < = H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A random sample of 11 size AA batteries for toys yield a mean of 2.98 hours with standard deviation, 1.19 hours. (a) Find the critical value, t?/2, for a 99% CI. ??/2 = (b) Find the margin of error for a 99% CI.
A researcher claims that the average wind speed in a certain city is 8 miles per hour. A sample of 32 days has an average wind speed of 8.2 miles per hour. The standard deviation of the population is 0.6 mile per hour. At 0.05, is there enough evidence to reject the claim? STEP 2. The critical value (s) is/are: z1 = z2 =
The average zinc concentration recovered from a sample of measurements taken in 40 different locations in a river is found to be 2.5 grams per milliliter. How large a sample is required if we want to be 95% confident that our estimate of ? is off by less than 0.05. Assume that the population standard deviation is 0.25 gram per milliliter.
A company claims that the mean monthly residential electricity consumption in a certain region is more than 860 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 69 residential customers has a mean monthly consumption of 880 kWh. Assume the population standard deviation is 126 kWh. At α=0.01, can you support the claim? Complete parts (a) through (e). Also find the critical values.
The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard deviation of 6.9 centimeters. A random sample of 50 females in the present freshman class has an average height of 165.2 centimeters. Determine the Z table at alpha=0.05 if we want to know if the females have a significant increase in height in two decimal place. Blank 1 Determine the Z calculated in two decimal places. Blank 2 Is there a significant increase in their height? yes or no Blank 3 Blank 1 Add your answer ank 2 Add your answer nk 3 Add your answer
A sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the hospital estimates the true proportion of patients infected is 0.045? p̂ = q̂ = E = Z= n=