Provide all relevant Minitab output, and make sure the responsesare organized and are clearly written.
Suppose an investigator is interested in the weight (pounds) ofa certain type of fish. They collect a random sample of 26 fishfrom a lake. The resulting data is compiled in the table below.Assume the data is normally distributed.
Observation | Weight 1 11.73 2 13.33 3 12.65 4 12.54 5 12.67 610.55 7 13.24 8 11.09 9 12.28
10 12.38 11 10.26 12 10.03 13 11.18
Table 1: Weight data
Obs Weight
14 10.97 15 12.16 16 10.93 17 12.27 18 11.86 19 10.47 20 11.9621 10.67 22 11.01 23 11.47 24 9.24 25 11.58 26 12.42
1) Using Minitab produce descriptive statistics for the weightof the fish in the sample. Include the median, Quartile 1, Quartile3, maximum value, minimum value, mean, standard deviation, andvariance.
2) Using Minitab, produce a 95% confidence interval for thepopulation mean weight.
3)Consider the investigator is interested in performing ahypothesis test to determine if the population average weight isless than 12 pounds at the α = .05 significance level.
a) Using the formula from class and the descriptive statisticsabove, calculate the value of the test statistic for thisexperiment.
b) What is the numeric value of the critical value for thishypothesis test? (Step 3 of hypothesis tests)
c) Implement this hypothesis test in Minitab. In the results,highlight or circle the test statistic and p-value.
d) Using both the p-value and critical value approach from above,state your conclusion for this experi- ment, and explain yourreasoning for choosing that conclusion.
