Math

StatisticsUnderstanding Basic StatisticsGarrison Bay is a small hay in Washington stale. A popular recreational activity in the bay is clam digging. Forseveral years, this harvest has been monitored and the size distribution of clams recorded. Data for lengths and widths of little neck clams (Protothacastaminea) were recorded by a method of systematic sampling in a study done by S. Scherba and V. F. Gallucci ("The Application of Systematic Sampling to a Study of Infaunal Variation in a Soft Substrate Intertidal Environment." Fishery Bulletin, Vol. 74, pp 937-948). The data in Tables 8-4 and 8-5 are the lengths and widths for 35 little neck clams. (a) Use a calculator to compute the sample mean and sample standard deviation for the lengths and widths Compute the coefficient of variation for each. (b) Compute a 95% confidence interval for the population mean length of all Garrison Bay little neck clams. (c) How many more little neck clams would be needed in a sample if you wanted to be 95% sure that the sample mean length is within a maximal margin of error of 10 mm of the population mean length? TABLE 8-4 Lengths of Little Neck Clams (mm) 530 517 505 512 487 481 485 479 452 468 459 449 472 471 455 394 475 335 508 486 474 465 420 402 410 393 389 330 305 169 91 537 519 509 511 TABLE 8-5 Widths of Little Neck Clams (mm) 494 477 471 413 407 427 408 430 395 417 394 397 402 401 385 338 422 288 464 436 414 402 383 340 349 333 356 268 264 141 11 498 456 433 447 (d) Compute a 95% confidence interval for the population mean width of all Garrison Bay little neck clams. (c) How many more little neck claim would he needed in a sample if you wanted to be 95% sure that the sample mean width is within a maximal margin of error of 10 mm of the population mean width? (0 The same 35 clams mere used for measures of length and width. Are the sample measurements length and width independent or dependent? Why?BuyFind*launch*

8th Edition

Charles Henry Brase + 1 other

Publisher: Cengage Learning

ISBN: 9781337558075

Chapter 8, Problem 1DHGP

Textbook Problem

Garrison Bay is a small hay in Washington stale. A popular recreational activity in the bay is clam digging. Forseveral years, this harvest has been monitored and the size distribution of clams recorded. Data for lengths and widths of little neck clams *(Protothacastaminea)* were recorded by a method of systematic sampling in a study done by S. Scherba and V. F. Gallucci ("The Application of Systematic Sampling to a Study of Infaunal Variation in a Soft Substrate Intertidal Environment." *Fishery Bulletin,*

(a) Use a calculator to compute the sample mean and sample standard deviation for the lengths and widths Compute the coefficient of variation for each.

(b) Compute a 95% confidence interval for the population mean length of all Garrison Bay little neck clams.

(c) How many more little neck clams would be needed in a sample if you wanted to be 95% sure that the sample mean length is within a maximal margin of error of 10 mm of the population mean length?

**TABLE 8-4 Lengths of Little Neck Clams (mm)**

530 | 517 | 505 | 512 | 487 | 481 | 485 | 479 | 452 | 468 |

459 | 449 | 472 | 471 | 455 | 394 | 475 | 335 | 508 | 486 |

474 | 465 | 420 | 402 | 410 | 393 | 389 | 330 | 305 | 169 |

91 | 537 | 519 | 509 | 511 |

**TABLE 8-5 Widths of Little Neck Clams (mm)**

494 | 477 | 471 | 413 | 407 | 427 | 408 | 430 | 395 | 417 |

394 | 397 | 402 | 401 | 385 | 338 | 422 | 288 | 464 | 436 |

414 | 402 | 383 | 340 | 349 | 333 | 356 | 268 | 264 | 141 |

11 |
498 | 456 | 433 | 447 |

(d) Compute a 95% confidence interval for the population mean width of all Garrison Bay little neck clams.

(c) How many more little neck claim would he needed in a sample if you wanted to be 95% sure that the sample mean width is within a maximal margin of error of 10 mm of the population mean width?

(0 The** same** 35 clams mere used for measures of length and width. Are the sample measurements length and width independent or dependent? Why?

Understanding Basic Statistics

Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - In Problems 1-8, answer true or false. Explain...Ch. 8.1 - Critical Thinking Sam computed a 95% confidence...Ch. 8.1 - Critical Thinking Sam computed a 90% confidence...

Ch. 8.1 - Basic Computation: Confidence Interval Suppose x...Ch. 8.1 - Basic Computation:Confidence Interval Suppose x...Ch. 8.1 - Basic Computation: Sample Size Suppose x has a...Ch. 8.1 - Basic Computation: Sample Size Suppose x has a...Ch. 8.1 - Zoology: Hummingbirds Allen's hummingbird...Ch. 8.1 - Diagnostic Tests: Uric Acid Overproduction of uric...Ch. 8.1 - Diagnostic Tests: Plasma Volume Total plasma...Ch. 8.1 - Agriculture: Watermelon What price do farmers get...Ch. 8.1 - FBI Report: Larceny Thirty small communities in...Ch. 8.1 - Confidence Intervals: Values of A random sample...Ch. 8.1 - Confidence Intervals: Sample Size A random sample...Ch. 8.1 - Ecology: Sand Dunes At wind speeds above 1000...Ch. 8.1 - Profits: Banks Jobs and productivity! How do banks...Ch. 8.1 - Profits: Retail Jobs and productivity! How do...Ch. 8.1 - Ballooning: Air Temperature How hot is the air in...Ch. 8.2 - Use Table 4 of the Appendix to find tc for a 0.95...Ch. 8.2 - Use Table 4 of the Appendix to find tc for a 0.99...Ch. 8.2 - Use Table 4 of the Appendix to find tc for a 0.90...Ch. 8.2 - Use Table 4 of the Appendix to find tc for a 0.95...Ch. 8.2 - Statistical Literacy Students t distributions are...Ch. 8.2 - Statistical Literacy As the degrees of freedom...Ch. 8.2 - Critical Thinking Consider a 90% confidence...Ch. 8.2 - Critical Thinking Consider a 90% confidence...Ch. 8.2 - Critical Thinking Lorraine computed a confidence...Ch. 8.2 - Critical Thinking Lorraine was in a hum when she...Ch. 8.2 - Basic Computation: Confidence Interval Suppose x...Ch. 8.2 - Basic Computation: Confidence Interval A random...Ch. 8.2 - In Problems 13-19. assumethat the population of x...Ch. 8.2 - In Problems 13-19. assumethat the population of x...Ch. 8.2 - In Problems 13-19. assume that the population of x...Ch. 8.2 - In Problems 13-19, assume that the population of x...Ch. 8.2 - In Problems 13-19, assume that the population of x...Ch. 8.2 - In Problems 13-19, assume that the population of x...Ch. 8.2 - 19 Critical Thinking: Boxplots and Confidence...Ch. 8.2 - Crime Rale: Denver The following data represent...Ch. 8.2 - Finance: P/E Ratio The price of a share of stock...Ch. 8.2 - 22.
Baseball: Home Run Percentage The home run...Ch. 8.2 - Expand Your knowledge: Alternate Method for...Ch. 8.3 - Statistical Literacy For a binomial experiment...Ch. 8.3 - Statistical Literacy In order to use a normal...Ch. 8.3 - Critical Thinking Results of a poll of a random...Ch. 8.3 - Critical Thinking You want to conduct a survey to...Ch. 8.3 - Critical Thinking Jerry tested 30 laptop computers...Ch. 8.3 - Critical Thinking: Brain Teaser A requirement for...Ch. 8.3 - Basic Computation: Confidence Interval for p...Ch. 8.3 - Basic Computation: Confidence Interval for p...Ch. 8.3 - Basic Computation: Sample Size What is the minimal...Ch. 8.3 - Basic Computation: Sample Size What is the minimal...Ch. 8.3 - Myers-Briggs: Actors Isabel Myers was a pioneer in...Ch. 8.3 - Myers-Briggs: Judges In a random sample of 519...Ch. 8.3 - Navajo Lifestyle: Traditional Hogans A random...Ch. 8.3 - Archaeology: Pottery Santa Fe black-on-white is a...Ch. 8.3 - Health Care: Colorado Physicians A random sample...Ch. 8.3 - Law Enforcement: Escaped Convicts Case studies...Ch. 8.3 - Fishing: Barbless Hooks In a combined study of...Ch. 8.3 - Focus Problem: Trick or Treat In a survey of a...Ch. 8.3 - Marketing: Customer Loyalty In a marketing survey,...Ch. 8.3 - Marketing: Bargain Hunters In a marketing survey,...Ch. 8.3 - Lifestyle: Smoking In a survey of 1000 large...Ch. 8.3 - Opinion Poll: Crime and Violence A NewYork...Ch. 8.3 - Medical: Blood Type A random sample of medical...Ch. 8.3 - Business: Phone Contact How hard is it to reach a...Ch. 8.3 - Campus Life: Coeds What percentage of your campus...Ch. 8.3 - Small Business: Bankruptcy The National Council of...Ch. 8.3 - Brain Teaser: Algerbra Why do we use 1/4 in place...Ch. 8.3 - Expand Your Knowledge: Plus Four Confidence...Ch. 8 - Terminology Answer true or false. The margin of...Ch. 8 - Terminology Answer true or false. A point estimate...Ch. 8 - Terminology Answer true or false. A c% confidence...Ch. 8 - Terminology Consider a student's t distribution....Ch. 8 - Statist Literacy In your own words, carefully...Ch. 8 - Critical Thinking Suppose you are told that a 95%...Ch. 8 - Critical Thinking If you have a 99% confidence...Ch. 8 - For Problems 8-12, categorize each problem...Ch. 8 - For Problems 8-12, categorize each problem...Ch. 8 - For Problems 8-12, categorize each problem...Ch. 8 - For Problems 8-12, categorize each problem...Ch. 8 - or Problems 8-12, categorize each problem...Ch. 8 - Telephone Interviews: Survey The National Study of...Ch. 8 - Telephone Interviews: Survey How large a sample is...Ch. 8 - Archaeology: Pottery Three-circle, red-on-white is...Ch. 8 - Archaeology: Pottery Consider the three-circle,...Ch. 8 - Expand Your Knowledge: Two Confidence Intervals...Ch. 8 - Garrison Bay is a small hay in Washington stale. A...Ch. 8 - Examine Figure 8-7. Fall Back " (a) Of the 1024...Ch. 8 - Examine Figure 8.-8, "Coupons: Limited Use." (a)...Ch. 8 - In this chapter, we have studied confidence...Ch. 8 - Throughout Chapter 8. we have used the normal...Ch. 8 - When the results of a survey or a poll are...

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