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In the Northern Hemisphere, dolphins routinely swim in counterclockwise patterns while sleeping. The table below is...

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Basic Math

In the Northern Hemisphere, dolphins routinely swim incounterclockwise patterns while sleeping. The table below is thenumber of minutes spent swimming in a counterclockwise pattern for8 Northern dolphins over a period of two hours.
77.7 84.8 79.4 84.0 99.6 93.6 89.4 97.2

a. Calculate the true 95% confidence interval for the averageamount of time that a Northern dolphins spends swimming in acounterclockwise pattern in a two hour period.



Researchers wanted to see if Southern hemisphere dolphins spent thesame or a different amount of time swimming in a clockwise patternwhile sleeping. The number of minutes spent swimming in acounterclockwise pattern in a two hour time period for 11 Southerndolphins is below.
63.4 58.6 73.9 68.8 83.2 71.5 96.4 68.3 76.4 81.4 75

Determine if the two populations are the same or different fromeach other using the two sample t-test.   

b. Clearly state your null and alternate hypothesis.


c. Show your calculations to calculate the t-statistic




d. Do you reject, or fail to reject, your null hypothesis? Why?

Answer & Explanation Solved by verified expert
3.5 Ratings (551 Votes)
a Calculate the true 95 confidence interval for theaverage amount of time that a Northern dolphins spends swimming ina counterclockwise pattern in a two hour periodThe population Std deviation is unknown hence we will usetdistribution1 confidenceinterval for population mean when population Std deviation isunknown is calculated as followsWhere n 8Critical value 23646 using tdist tables or excel functiontinv0057 or also    See Answer
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