Q1(10). Manatees are one creature found in coastal waterways. To study this creature, a random sample of 12 manatees were selected, the sample manatees were released before their weights (in pounds) were carefully recorded: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assuming the underlying distribution of manatee weights is normal. 1(5). Find a 95% confidence interval for the true mean weight. 2(5). In a similar study 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1000 pounds. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight is less than 1000 pounds now. Solve the hypothesis using P-value method. Let a = 0.05.

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Q1(10). Manatees are one creature found in coastal waterways. To study this creature,
a random sample of 12 manatees were selected, the sample manatees were released
before their weights (in pounds) were carefully recorded: 956, 1012, 954, 988, 973,
1048, 1075, 1064, 856, 1026, 1031, 1064. Assuming the underlying distribution of
manatee weights is normal.
1(5). Find a 95% confidence interval for the true mean weight.
2(5). In a similar study 10 years
ago, researchers concluded that the true mean weight
of manatees was approximately 1000 pounds. Implement a hypothesis test to verify if
there is any evidence to suggest the true mean weight is less than 1000 pounds now.
Solve the hypothesis using P-value method. Let a = 0.05.
Transcribed Image Text:Q1(10). Manatees are one creature found in coastal waterways. To study this creature, a random sample of 12 manatees were selected, the sample manatees were released before their weights (in pounds) were carefully recorded: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assuming the underlying distribution of manatee weights is normal. 1(5). Find a 95% confidence interval for the true mean weight. 2(5). In a similar study 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1000 pounds. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight is less than 1000 pounds now. Solve the hypothesis using P-value method. Let a = 0.05.
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