It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°). To test this,120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Use the chi-squared test at level 0.10 to see whether the data supports the hypothesis.Direction0-c45°45-<90°90-<135° 135-<180°Frequency11171615Direction| 180-<225° 225-<270° 270-<315° 315-<360°Frequency13201711A USE SALTState the appropriate hypotheses.O Ho: P: = P2 = ... = Pa = 0.125H: no p = 0.125O Ho: P. * P2 * ... * Pa + 0.125H: at least one p; = 0.125O Ho: P1 = P2 = .. = Pg = 0.125Ha: at least one p, 0.125O Ho: P1 * P2 * ...* Pa* 0.125Hai all p/'s = 0.125Calculate the test statistic. (Round your answer to two decimal places.)x? = (What can be said about the P-value for the test?O P-value < 0.005O 0.005 < P-value < 0.01O 0.01 < P-value < 0.025O 0.025 < P-value < 0.05O 0.05 < P-value < 0.10O P-value > 0.10

Answered: It is hypothesized that when homing…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the data corresponding to measurements of brain volume (measured in cm3 )and IQ. Based on the data, could we say that the correlation between these 2 variables is different from 0? (The question refers to the correlation on the population, ie. perform a hypothesis test with alpha=0.05) Data: IQ VOL 96 1005 89 963 87 1035 87 1027 101 1281 103 1272 103 1051 96 1079 127 1034 126 1070 101 1173 96 1079 93 1067 88 1104 94 1347 85 1439 97 1029 114 1100 113 1204 124 1160
Martha believes that a relaxation technique involving visualization will help people with mild insomnia fall asleep faster. She randomly selects a sample of 20 participants from a group of mild insomnia patients and randomly assigns 10 to receive visualization therapy. The other 10 participants receive no treatment. Each participant then is measured how long (in minutes) it takes him or her to fall asleep. Data: No Visualization treatment Treatment 22 19 18 17 27 24 20 21 23 27 26 21 22 23 24 18 27 19 22 22 2.
Travis does research with a marine biology research team. His job is to catch lobsters, weigh them, tag them, and return them to the water. Over the years, the team has determined that the average weight in pounds of the lobsters caught at a particular location was µ = 2.1 lbs. with a σ of 1.8 lbs. As part of an annual survey, Travis catches 27 lobsters with a mean of 3.1 lbs. Is he correct in assuming that the lobsters he caught are significantly heavier that those usually found in that location? Please use α = .05 and a two-tailed test.
A movie studio wishes to determine the relationship between the revenue generated from the streaming of comedies and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming (in millions of dollars) for each of the fifteen movies. The data are displayed in the Figure 1 scatter plot. (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.)
2
If our data were a perfect fit to our regression model, such that y; = ŷ;, we would expect | to be in the CI on p.
For an alpha = .025 and degrees of freedom, df = 15, what is the one-tailed t-value? Give your answer exactly as it appears in the table, with three decimal places.
Qn6. In order to investigate whether adults report verbally presented material more accurately from their right than from their left ear, a dichotic listening task was carried out. The data were found to be positively skewed. Number of words reported: 8 Participant Left ear 1 2 3 4 5 6 7 25 29 10 35 27 24 26 59 Right ear Conduct parametric testing of paired observations of the hypothesis that the number of words recalled from the right ear is five words less than the umber of words recalled from the left ear at 5%1level? 32 30 8 42 20 32 27 50
Solve the following problems based on the step-by-step procedure of the Non-Parametric Tests. Show complete solutions and answer. When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator of how much a person smokes. Listed below are the reported numbers of cigarettes smoked per day and the measured amounts of nicotine (in ng/ml). Is there a significant correlation at alpha = 0.05? x (cigarettes/day) 60 10 4 15 10 1 20 8 7 10 10 20 y (cotinine) 179 283 75.6 174 209 9.51 350 1.85 43.4 25.1 408 344
.... At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-two wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, o can be assurhed to be 250 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec (b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain. O No. This interval Indicates that the population mean wind speed is such that the sand may not always be moving at this…
(6) Find the mean , variance, autocorrelation function P for the following models: a. Y= 0.6Y+e,- 0.4e t-1 1 1 b.Y, = 2+e;-¿e,s*7 4
In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: Normal Stress, x Shear Resistance, y 26.8 25.4 28.9 23.6 27.7 23.9 24.7 28.1 26.9 27.4 22.6 25.6 26.5 27.3 24.2 27.1 23.6 25.9 26.3 22.5 21.7 21.4 25.8 24.9 Estimate the B1.

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