n observational study of teams fishing for the red spiny lobster in a certain body of water was conducted and the results published in a science magazine. One of the variables of interest was the average distance separating aps - called "trap spacing" - deployed by the same team of fishermen. Trap spacing measurements (in meters) for a sample of seven teams of fishermen are shown in the accompanying table. Of interest is the mean trap acing for the population of red spiny lobster fishermen fishing in this body of water. Complete parts a through f below. a Click the icon to view the trap spacing data. Trap Spacing Data Identify the target parameter for this study. ne target parameter for this study is Compute a point estimate of the target parameter. 93 101 107 95 81 68 84 (Round to two decimal places as needed.) What is the problem with using the normal (2) statistic to find a confidence interval for the target parameter? Print Done OA. The point estimate is too large to determine an accurate critical value. O B. The point estimate is too large to determine an accurate z-statistic. O C. The z-statistic is used for confidence intervals for proportions, not means. O D. The sample is small and the trap spacing population has unknown distribution and standard deviation. Find a 95% confidence interval for the target parameter. D (Round to one decimal place as needed.) Give a practical interpretation of the interval, part d. Choose the correct answer below. O A. One can be 95% confident the true mean trap spacing distance lies within the above interval.
n observational study of teams fishing for the red spiny lobster in a certain body of water was conducted and the results published in a science magazine. One of the variables of interest was the average distance separating aps - called "trap spacing" - deployed by the same team of fishermen. Trap spacing measurements (in meters) for a sample of seven teams of fishermen are shown in the accompanying table. Of interest is the mean trap acing for the population of red spiny lobster fishermen fishing in this body of water. Complete parts a through f below. a Click the icon to view the trap spacing data. Trap Spacing Data Identify the target parameter for this study. ne target parameter for this study is Compute a point estimate of the target parameter. 93 101 107 95 81 68 84 (Round to two decimal places as needed.) What is the problem with using the normal (2) statistic to find a confidence interval for the target parameter? Print Done OA. The point estimate is too large to determine an accurate critical value. O B. The point estimate is too large to determine an accurate z-statistic. O C. The z-statistic is used for confidence intervals for proportions, not means. O D. The sample is small and the trap spacing population has unknown distribution and standard deviation. Find a 95% confidence interval for the target parameter. D (Round to one decimal place as needed.) Give a practical interpretation of the interval, part d. Choose the correct answer below. O A. One can be 95% confident the true mean trap spacing distance lies within the above interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
Transcribed Image Text:An observational study of teams fishing for the red spiny lobster in a certain body of water was conducted and the results published in a science magazine. One of the variables of interest was the average distance separating
traps - called "trap spacing" - deployed by the same team of fishermen. Trap spacing measurements (in meters) for a sample of seven teams of fishermen are shown in the accompanying table. Of interest is the mean trap
spacing for the population of red spiny lobster fishermen fishing in this body of water. Complete parts a throughf below.
E Click the icon to view the trap spacing data.
Trap Spacing Data
a. Identify the target parameter for this study.
The target parameter for this study is
b. Compute a point estimate of the target parameter.
93
101
107
95
81
68
84
(Round to two decimal places as needed.)
c. What is the problem with using the normal (z) statistic to find a confidence interval for the target parameter?
Print
Done
O A. The point estimate is too large to determine an accurate critical value.
O B. The point estimate is too large to determine an accurate z-statistic
O C. The z-statistic is used for confidence intervals for proportions, not means.
O D. The sample is small and the trap spacing population has unknown distribution and standard deviation.
d. Find a 95% confidence interval for the target parameter.
((| D (Round to one decimal place as needed.)
e. Give
practical interpretation of the interval, part d. Choose the correct answer below.
O A. One can be 95% confident the true mean trap spacing distance lies within the above interval.
O B. There is a 95% probability that the true mean trap spacing distance is the mean of the interval.
O C. One can be 95% confident the true mean trap spacing distance lies at the mean of the above interval.
O D. One can be 95% confident the true mean trap spacing distance is one of the end points of the above interval.
f. What conditions must be satisfied for the interval, part d, to be valid? Select all that apply.
O A. The sample has a relative frequency distribution that is approximately normal.
O B. The population has a relative frequency distribution that is approximately normal.
O C. The sample is randomly selected from the population.
O D. The sample must be large enough that the Central Limit Theorem applies.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
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.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill