MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The FDA regulates that fish that is consumed is allowed to contain 1.0 mg/kg of mercury. In Colorado, bass
fish were collected in 52 different lakes to measure the amount of mercury in the fish. The data for the
average amount of mercury in each lake is in the table. Do the data provide enough evidence to show that
the fish in Colorado lakes has more mercury than the allowable amount? Test at the 5% level.
Average Mercury Levels (mg/kg) in Fish
0.54
1.82
0.98
0.76
0.75
0.44
1.4
0.36
1.58
1.12
1.1
1.63
1.37
1.21
0.85
1.14
1.24
1.26
1.06
1.18
1.11
0.95
0.6
1.05
1.27
1.52
1.14
0.91
1.05
0.95
1.25
1.01
1.02
1.35
0.96
0.91
1.13
1.59
1.84
1.51
1.04
1.54
1.62
1.01
1.43
1.01
1.32
0.85
1.7
0.8
1.22
0.9
State the hypotheses.
Ho: µ ?
Hg: ?
Find the point estimate. Round to three decimal places.
=
FInd the test statistic. Round to three decimal places.
t =
Find the p-value. Round to four decimal places.
p-value =
State your decision.
O Since the p-value is greater than 0.05, reject Ho.
O Since the p-value is less than 0.05, reject Ho.
O Since the p-value is greater than 0.05, fail to reject Ho.
O Since the p-value is less than 0.05, fail to reject Ho.
Transcribed Image Text:p-value =
State your decision.
O Since the p-value is greater than 0.05, reject Ho.
O Since the p-value is less than 0.05, reject Ho.
O Since the p-value is greater than 0.05, fail to reject Ho.
O Since the p-value is less than 0.05, fail to reject Ho.
Interpret the results.
O At the 5% level of significance, there is not enough evidence to conclude that the mean amount of
mercury in bass fish in Colorado is not equal to the allowable amount of 1.0 mg/kg.
O At the 5% level of significance, there is not enough evidence to conclude that the mean amount of
mercury in bass fish in Colorado is less than the allowable amount of 1.0 mg/kg.
O At the 5% level of significance, there is enough evidence to conclude that the mean amount of
mercury in bass fish in Colorado is not equal to the allowable amount of 1.0 mg/kg.
O At the 5% level of significance, there is enough evidence to conclude that the mean amount of
mercury in bass fish in Colorado is less than the allowable amount of 1.0 mg/kg.
O At the 5% level of significance, there is enough evidence to conclude that the mean amount of
mercury in bass fish in Colorado is more than the allowable amount of 1.0 mg/kg.
O At the 5% level of significance, there is not enough evidence to conclude that the mean amount of
mercury in bass fish in Colorado is more than the allowable amount of 1.0 mg/kg.
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