1 answer

Evolutionary theories often emphasize that humans have adapted to their physical environment

Question:

Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24- hour cycle of sleeping and walking- even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25
Using the 5% level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?)
(a) Use the steps of hypothesis testing.
(b) Sketch the distributions involved.
(c) Explain your answer to someone who has never taken a course in statistics.

Answers

You can probably use a one-sample t-test for this data. You'll need to calculate the mean and standard deviation. Here's a t-test formula:
t = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

Hypotheses:

Ho: µ = 24 -->null hypothesis
Ha: µ does not equal 24 -->alternate hypothesis

Once you do the calculations, use a t-table to determine the cutoff to reject the null at .05 level of significance for a two-tailed test using 7 degrees of freedom (df = n - 1 = 8 - 1 = 7).

Does the test statistic exceed the cutoff (critical) value from the table? If it does not, you cannot reject the null and conclude a difference. If it does, then reject the null and conclude a difference.

I hope this will help..

Similar Solved Questions

1 answer
For each part below, list all homomorphisms with the given domain and codomain a) Domain Zis and codomain Zs (b) Domain...
For each part below, list all homomorphisms with the given domain and codomain a) Domain Zis and codomain Zs (b) Domain Zu and codomain Zo c) Domain and codomain both Z4 (d) Domain C4 and codomain V (e) Domain and codomain both Va VA. For each part below, list all homomorphisms with the given domai...
2 answers
Lance Jackson deposited $5,000 at Basil Bank at 9% interest compounded daily
Lance Jackson deposited $5,000 at Basil Bank at 9% interest compounded daily. What is Lance's investment at the end of 4 years?...
1 answer
0 Mava=mV6 XvP Soma = Moub - Vaan. Determination of the castante Weak Acid D. Concentration...
0 Mava=mV6 XvP Soma = Moub - Vaan. Determination of the castante Weak Acid D. Concentration of Unknown Acid Trial 3 - Trial Trial Volume of unknown acid Average molarity of NaOH from above mL of NaOH at equivalence point Molarity of unknown acid Average molarity (show calculations) Standard deviatio...
1 answer
A bagpiper is playing in the middle of the quad. To a person standing 20 m...
A bagpiper is playing in the middle of the quad. To a person standing 20 m away, the sound intensity level of the bagpiper is 87.8 dB. 17. What is sound intensity level 25.5 m away from the bagpiper? (Assume that the bagpiper is a point source of spherical waves.) 18. [2pt] What's the intensity ...
1 answer
D | Question 6 8 pts Based on the results of your last two problems, determine...
D | Question 6 8 pts Based on the results of your last two problems, determine the pH of 150.0 mL of a 0.50 M CsH5N/ 0.40 MC:HNH' buffer solution after addition of 45.0 miL of 0.75 M HNO3. Ka = 5.9 x 10-6 Hint: Use the Henderson-Hasselbalch equation. IA 1 THAl No new data to save. Last checked a...
1 answer
Per uul al least ZU Tules! Question 17 (4 points) Which of the following are strengths...
per uul al least ZU Tules! Question 17 (4 points) Which of the following are strengths of survey research? Data are often easily quantifiable for later statistical analysis. A large number of people can be asked about their attitudes, behaviors, etc., so information can be generalized if a study has...
1 answer
A pipeline 7600m long and 1.5 in diameter supplies 8 nozzles (cv=0.95) with water from a reservoi...
A pipeline 7600m long and 1.5 in diameter supplies 8 nozzles (cv=0.95) with water from a reservoir 180m above the nozzles. each nozzles has a tip diameter of 7.5cm. assuming f=0.017, find the aggregate power available in the jets. Answer : 3,016 kW Please draw the figure then show your solution....
1 answer
Question 8 1 pts Price level (GDP deflator 2000 - 100) Real GDP (Villions of 2000...
Question 8 1 pts Price level (GDP deflator 2000 - 100) Real GDP (Villions of 2000 dollars) In the figure above, if the economy is at point A, the appropriate monetary policy by the Federal Reserve would be to raise income taxes. lower interest rates. raise interest rates. lower income taxes...
1 answer
(6 points) Find a first-order system of ordinary differential equations equivalent to the second-order ordinary differential...
(6 points) Find a first-order system of ordinary differential equations equivalent to the second-order ordinary differential equation Y" + 2y' + y = 0. From the system, find all equilibrium solutions, and determine if each equilibrium solution is asymptotically stable, or unstable....
1 answer
The figure shows a rigid assembly of a thin hoop (of mass m = 0.27 kg...
The figure shows a rigid assembly of a thin hoop (of mass m = 0.27 kg and radius R = 0.17 m) and a thin radial rod (of length L = 2R and also of mass m = 0.27 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower...
1 answer
Please provide solution/methods so I can understand how this work. Given a algorithm with f(n) 5n2...
Please provide solution/methods so I can understand how this work. Given a algorithm with f(n) 5n2 + 4n + 14 in the worst case, f(n) 3n2 + 17 log, n + 1in the average case, and f(n) in 17 the best case. Which of the following would be the tightest possible asymptotic descriptions of the algorithm? T...
1 answer
A buffer solution is 0.371 M in HF and 0.226 M in KF . If Ka...
A buffer solution is 0.371 M in HF and 0.226 M in KF . If Ka for HF is 7.2×10-4, what is the pH of this buffer solution?...
1 answer
A network server manufacturer tests the operating temperature of her new computer chips. Based on her...
A network server manufacturer tests the operating temperature of her new computer chips. Based on her tests, she assumes that the operating temperatures are normally distributed with mean temperature of 116 degrees F, with standard deviation of 2.9 degrees F. Based on this information, 99% of the ch...
1 answer
If a person has a mass of 83 kg, what will that person weigh in newton
If a person has a mass of 83 kg, what will that person weigh in newton...
1 answer
7. An antenna on the Earth's surface sends a signal as a plane-wave to a satellite orbiting the Earth at the geostationary orbit. Assume the antenna on the satellite is A m2 across. Assuming (...
7. An antenna on the Earth's surface sends a signal as a plane-wave to a satellite orbiting the Earth at the geostationary orbit. Assume the antenna on the satellite is A m2 across. Assuming (though incorrect) the Earth's atmosphere and outer space both to be a lossless media, what is the ex...
1 answer
Prepare journal entries for each transaction and identify the financial statement impact of each entry. The...
Prepare journal entries for each transaction and identify the financial statement impact of each entry. The financial statements are automatically generated based on the journal entries recorded. Jan. 1 Kacy Spade, owner, invested $129,750 cash in the company. Jan. 2 The company purchased office sup...