An observational study of teams fishing for the red spinylobster in a certain body of water was conducted and the resultspublished in a science magazine. One of the variables of interestwas the average distance separating
traps−called ​\"trap ​spacing\"minus−deployed by the same team offishermen. Trap spacing measurements​ (in meters) for a sample ofseven teams of fishermen are shown in the accompanying table. Ofinterest is the mean trap spacing for the population of red spinylobster fishermen fishing in this body of water. Complete parts athrough f below.
Date : 95, 99,106, 94,80,71, 87
a. Identify the target parameter for this study.
The target parameter for this study is
b. Compute a point estimate of the target parameter.
​(Round to two decimal places as​ needed.)
c. What is the problem with using the normal​ (z) statistic tofind a confidence interval for the target​ parameter?
A.
The point estimate is too large to determine an accuratecritical value.
B.
The​ z-statistic is used for confidence intervals for​proportions, not means.
C.
The sample is small and the trap spacing population has unknowndistribution and standard deviation.
D.
The point estimate is too large to determine an accurate​z-statistic.
d. Find a​ 95% confidence interval for the target parameter.
left parenthesis nothing comma nothing right parenthesis,
​(Round to one decimal place as​ needed.)e. Give a practicalinterpretation of the​ interval, part
d.
Choose the correct answer below.
A.
There is a​ 95% probability that the true mean trap spacingdistance is the mean of the interval.
B.
One can be​ 95% confident the true mean trap spacing distancelies within the above interval.
C.
One can be​ 95% confident the true mean trap spacing distance isone of the end points of the above interval.
D.
One can be​ 95% confident the true mean trap spacing distancelies at the mean of the above interval.
f. What conditions must be satisfied for the​ interval, part
d​,
to be​ valid? Select all that apply.
A.
The sample must be large enough that the Central Limit Theoremapplies.
B.
The sample has a relative frequency distribution that isapproximately normal.
C.
The sample is randomly selected from the population.
D.
The population has a relative frequency distribution that isapproximately normal.
