Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305750999
Author: Peck Olson Devore
Publisher: CENGAGE C
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 60CR
Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper appearing in Animal Behaviour (“The Echolocation of Flying Insects by Bats” [1960]: 141–154) gave the following distances (in centimeters) at which a bat first detected a nearby insect:
- a. Calculate the sample mean distance at which the bat first detects an insect.
- b. Calculate the sample variance and standard deviation for this data set. Interpret these values.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 47 hospital employees who were
diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x = 19.7 and s = 12.1.
Complete parts (a)-(d).
a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.
19.7
b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.
(16.24, 23.16)
(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
c. Give a practical interpretation of the interval, part (b).
OA. One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with
latex allergy is greater than the…
An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate,
and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.
Analyzer
Computerized
Electronic
Compact
50
41
Car
Intermediate
56
44
Full-sized
62
47
Use a = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
O Ho: Hcompact * HIntermediate * HFull-sized
Ha: "Compact = HIntermediate = 4Full-sized
O Ho: HComputerized * HElectronic
Ha: HComputerized = HElectronic
O Ho: HComputerized = HElectronic
Ha: "Computerized * HElectronic
O Ho: HComputerized = HElectronic = "Compact = HIntermediate = "Full-sized
H.: Not all the population means are equal.
O Ho: HCompact = HIntermediate = HFull-sized
Hai H compact * HIntermediate * HFull-sized
Find the value of…
Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 44 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported
on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x= 19.4 and s = 11.7. Complete parts (a) - (d).
a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.
b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.
(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
c. Give a practical interpretation of the interval, part (b).
O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval.
O B. One can be 95% confident that the…
Chapter 4 Solutions
Introduction to Statistics and Data Analysis
Ch. 4.1 - The Insurance Institute for Highway Safety...Ch. 4.1 - The article Caffeine Content of Drinks...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Each student in a sample of 20 seniors at a...Ch. 4.1 - Prob. 9ECh. 4.1 - The ministry of Health and Long-Term Care in...
Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20ECh. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Prob. 27ECh. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Fiber content (in grams per serving) and sugar...Ch. 4.3 - Shown here are the number of auto accidents per...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - Prob. 40ECh. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - Prob. 42ECh. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - Prob. 49ECh. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - Prob. 51ECh. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Prob. 55CRCh. 4 - Prob. 56CRCh. 4 - Prob. 57CRCh. 4 - Prob. 58CRCh. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - Prob. 61CRCh. 4 - Prob. 62CRCh. 4 - Prob. 63CRCh. 4 - Prob. 64CRCh. 4 - Prob. 65CRCh. 4 - Prob. 66CRCh. 4 - Prob. 67CRCh. 4 - Prob. 68CRCh. 4 - Prob. 69CRCh. 4 - Prob. 70CRCh. 4 - Prob. 71CRCh. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...
Additional Math Textbook Solutions
Find more solutions based on key concepts
The data in Table 1A were collected from one of the authors’ statistics classes. The first row gives the variab...
Introductory Statistics
the proportion of red cars in the sample and display the sampling distribution of the sample proportion on dot ...
PRACTICE OF STATISTICS F/AP EXAM
A Pew Research Center survey found a noticeable rise in smartphone ownership and internet usage in emerging and...
Business Statistics: A First Course (8th Edition)
Fill in the blank: The probability that a fair coin lands heads is 0.5. Therefore, we can be sure that if we to...
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
the type of variable is the response.
Stats: Modeling the World Nasta Edition Grades 9-12
In Exercises 9-20, use the data in the following table, which lists drive-thru order accuracy at popular fast f...
Elementary Statistics (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- the feeding habits of two-species of net-casting spiders are studied. The species, the deinopis and menneus, coexist in eastern Australia. The following summary statistics were obtained on the size, in millimeters, of the prey of the two species: Adult DINOPIS Adult MENNEUS т — 10 j = 9.02 mm sỷ = (1.90)? n = 10 I = 10.26 mm s* = (2.51)? (A) 0.345 to 7.254 B 1.252 to 5.243 с) 3.543 to 8.912 D) 0.433 7 to 7.033arrow_forwardRecall the empirical One study, published in 1972 by R. Risebrough, (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The PCB concentrations are presented in the following table: Draw the relative frequency histogram Is it reasonable to apply the Empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean? Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the Compare your answers in parts (b) and (c).arrow_forwardHealth care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 47 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x = 19.3 and s = 12.3. Complete parts (a) - (d). a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy. b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) с. Gi a practical interpretation of the interval, part (b). A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. B. One can be 95% confident that the average…arrow_forward
- A medical researcher says that less than 82% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 78% thínk that healthy children should be reguired to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. H: ps O E. Ho: p= Hyip Haip= O D. Ho: p. O B. The rejection region is I test statisticz Fail to reject laces as needed.) Reject ject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. the null hypothesis. There V enough evidence to V the researcher's claim.arrow_forwardHealth care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 45 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x = 19.5 and s = 12.1. Complete parts (a) - (d). a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy. 19.5 b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)arrow_forwardAn automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Compact 51 42 Car Intermediate 54 44 Full-sized 63 46 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: Camputerized = HElectronic H: "Computerized * HElectronic O Ho: HCamputerized * HElectronic H: "Computerized = "Electronic O Ho: "Compact = "Intermediate = "Full-sized Ha: "Compact * HIntermediate * HFull-sized O Ho: HComputerized = "Electronic = "Compact = "Intermediate = "Full-sized H: Not all the population means are equal. O Ho: HCompact * "Intermediate * HFull-sized Ha: "Compact = "Intermediate = "Full-sized Find the value of the…arrow_forward
- An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. ... Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo. Input answer up to 2 decimal places. Test Statisticf =1.68 Blank 1 1.68arrow_forwardTwo researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…arrow_forwardAn article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. ... Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo- Input answer up to 2 decimal places. TestStatisticf. Blank 1arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License