1. A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. A simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium or not. The researcher found that 40 alga were, in fact, cyanobacteria. (enter your answer in 3 decimal places) (a) What is the sample proportion of the algae that were cyanobacteria? (b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria?(c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria?(d) What is 95% CI? , watts

1. A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phylum. A simple random sample of 50 alga is obtained and each alga is categorized as either being a cyanobacterium or not. The researcher found that 40 alga were, in fact, cyanobacteria. (enter your answer in 3 decimal places) (a) What is the sample proportion of the algae that were cyanobacteria? (b) What is the standard deviation of the sample proportion of the algae that were cyanobacteria?(c) What is the 95% marginal error of the proportion of the algae that were cyanobacteria?(d) What is 95% CI? , watts

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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Q.no.4 The test scores on the same algebra test were recorded for nine students randomly selected from a classroom taught by teacher A and eight students randomly selected from a classroom taught by Teacher B. Teacher A: 65, 88, 93, 95, 80, 76, 79, 77.Teacher B: 91, 85, 70, 82, 92, 68, 86, 87, 75. Test the hypothesis that the difference in the average scores for students taught by these two teachers equal to zero. Use 5% level of significance.
Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. There is a claim that mean rainfall from seeded clouds exceeds 25 acre-feet. The P-value for the test H0: µ = 25 versus H1: µ > 25 is closest to:
Question 3 To compare three brands of computer keyboards, 4 data entry specialists were randomly selected. Each specialist used all three keyboards to enter the same kind of text material for 10 minutes, and the number of words entered per minute was recorded. SST, SSB, and SSE can be calculated to be 392.6667, 143.5833, and 2.6667, respectively. When you make a pairwise comparison between Brand A and Brand B, what is 95% Tukey Confidence interval? (Consider tables below) Keyboard Brand Specialist A B C 1 177 67 63 2 71 62 59 3 74 63 59 67 57 54 Summary Count Sum Average Variance 3 207 69 52 3 192 64 39 3 196 65,33333 60,33333| 3 178 59,33333 46,33333 14 289 72,25 18,25 249 62,25 16,91667 235 58,75 13,58333 df MS F P-value F critical SS 143,5833 3 47,86111 107,6875 1,32E-05 4,757063 392,66672 196,3333 441,75 3,07E-07 5,143253 2,6666676 0,444444 538,9167 11 4 1 2 3 14 A B C ANOVA Source of Variation Specialist Brand Error Total 4 4
. List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?
26) A phycologist is interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 algae was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. a) The proportion p that was cyanobacteria isA. 38B. 0.38C. 0.5D. 0.76E. 50 b) (Continue from the previous question),What is the standard error of the proportion p, i.e. S.E.(p), that were cyanobacteriaisA. 0.0036B. 0.0604C. 0.0684D. 0.1824E. None of the above
3B.3.1 Please refer to the attached image for my question!
2) A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to determine the level of lead found in each of ten randomly selected homes. The home inspector believes that Test A is more accurate than Test B. The data obtained, for lead level in each home using each method is shown in the table below. SPECIMEN 8| 9 2 3 4 6 7 10 A 22.7 23.6 24.0 26.6 27.2 28.7 35.0 32.5 44.1 47.3 Test B 23.0 23.2 23.5 25.6 27 27.1 33.2 35.3 40.5 47.8 a. Does this data provide convincing evidence to support the home inspectors claim? Provide a statistical justification to support your answer. b. What kind of error could you have made? What is one consequence of that error? c. Is the sample statistically significant at the 0.05 level? If not, at what significance level would these results be statistically significant at?
Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
he federal government is interested in determining whether salary discrimination exists between men and women in the private sector. Suppose a sample of 16 women and 25 men are taken from the population of first-level managers in the private sector. The information is summarized as follows (amounts are in thousands of dollars): Women Men n 16 25 X¯ $26.4 $33.3 S $2.6 $3.2 Test H0 : µ1 = µ2 against H1 : µ1 = µ2 where µ1 and µ2 are the mean salary of first level female and male managers, respectively. Use α = 0.05 and assume equal variances. Test statistic = −2.68 and reject H0 Test statistic = −7.22 and reject H0 Test statistic = −2.68 and fail to reject H0 Test statistic = −7.22 and fail to reject H0
A population consists of a batch of 24,683 aspirin tablets, and it includes 1,050 that are defective because they do not meet specifications. A random sample of n = 200 of the tablets is obtained and tested, with the result that 15 of them are defective. a. What is the population proportion, p, of defective aspirin tablets? b. What is the sample proportion, p, of defective tablets? c. How can the discrepancy between the population proportion and the sample proportion be explained? a. The population proportion of defective aspirin tablets is p = (Round to three decimal places as needed.) b. The sample proportion of defective aspirin tablets is p= (Round to three decimal places as needed.) c. Choose the correct answer below. C O A. There will always be a discrepancy between the population proportion and the sample proportion when the sample size is small. O B. Random samples collected with sound sampling methods vary, and the sample proportions differ from the population proportion…
Some students are sampled at random from the cohort at a certain university and their heights recorded. The university has a student cohort of 1000, and 100 students are sampled. Thirty students are 175cm, thirty are 160cm, fifteen are 163cm, ten are 180cm, ten are 158cm, and five are 170cm. To three significant figures, how many resamples of size 100 can one make from this data? 4.53 × 1058 3.72trillion 2.63 × 1051 135million 3.72 x 1048
A choral conductor has 1885 singers in her choir, some of them are professional singers. The conductor wants to estimate what percentage of singers are professional, but can't ask all 1885, so she instead asks 630 singers in front and finds 17 who are professionals. (a) Identify the sample.A. 17/1885B. 630C. singers who were askedD. None of the above. (b) Identify the populationA. percentage of entire singers who are professionalB. entire singersC. 17/1885D. None of the above. (c) What specific type of bias does this scenario demonstrate?A. Voluntary response samplingB. Convenience SamplingC. It is representative of the population.D. None of the above. (d) Identify the parameterA. range of values in which 95% values fallB. percentage of entire singers who are professionalC. 17D. None of the above.