Question

Provide all relevant Minitab output, and make sure the responses are organized and are clearly written.

Suppose an investigator is interested in the weight (pounds) of a certain type of fish. They collect a random sample of 26 fish from 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 6 10.55 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 11.96 21 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 weight of the fish in the sample. Include the median, Quartile 1, Quartile 3, maximum value, minimum value, mean, standard deviation, and variance.

2) Using Minitab, produce a 95% confidence interval for the population mean weight.

3)Consider the investigator is interested in performing a hypothesis test to determine if the population average weight is less than 12 pounds at the α = .05 significance level.
a) Using the formula from class and the descriptive statistics above, calculate the value of the test statistic for this experiment.

b) What is the numeric value of the critical value for this hypothesis 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 your reasoning for choosing that conclusion.

Answer 1

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