Question Details

Stat 200 Quiz 3

Question Details:
Stat 200 Quiz 3

1 Improving the productivity of chickens. Farmers have discovered that more domestic chickens peck at objects placed in their environment, the healthier and more productive the chickens seem to be. White string has been found to be a particularly attractive pecking stimulus. In one experiment, 72 chickens were exposed to be a sting stimulus. Instead white sting, blue-colored string was used. The number of pecks each chicken took at the blue string over a specified time interval was recorded. Summary statistics for the 72 chickens were x̅=1.13 pecks, s= 2.21 pecks (Applied Animal Behavior Science, Oct. 2008).

Previous research has shown that μ=7.5 pecks if chickens are exposed to white string. Conduct a test (at α=.01) to determine if the true mean number of pecks at blue string is less than μ=7.5 pecks.

(a) (8 points)  Formulate the null and  the alternative hypothesis.

(b)(8 points) State and calculate the test statistics from the data.

(c) (8 points) Draw a conclusion.

2.   A five-year-old census recorded that 20% of the families in a large community lived below the poverty level. To determine if this percentage has changed, a random sample of 400 families is studied and 70 are found to be living below the poverty level. Does this finding indicate that the current percentage of families earning incomes below the poverty level has changed from what it was five years ago? Test with α=0.05.

(a) (8 points)  Formulate the null and  the alternative hypothesis.

(b)(8 points) State and calculate the test statistics from the data.

(c) (8 points) Draw a conclusion.

(d) (8 points) Calculate the P-value.

3. A city health department wishes to determine if the mean bacteria count per unit volume of water at a lake beach is within the safety level of 200. A researcher collected 10 water samples of unit volume and found the bacteria counts to be

175, 190, 205, 193, 184, 207, 204, 193, 196, 180

Do the data strongly indicate that there is no cause for concern?  Test with α=0.05.

(a) (8 points)  Formulate the null and  the alternative hypothesis.

(b)(8 points) State and calculate the test statistics from the data.

(c)(8 points) Draw a conclusion.

(d) (8 points) Calculate the P-value.

4.  (12 points) A limnologist wishes to estimate the mean phosphate content per unit volume of the lake water. It is known from studies in previous years that the standard deviation has a fairly stable value of σ=4. How many water samples must the limnologist analyze to be 90% certain that the error of estimation does not exceed 0.8 milligrams?

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Stat 200 Quiz 3

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STAT 200 PSU Quiz 3 100% Satisfaction Guaranteed!

1. Decide if the probability described is a subjective (personal) probability or a relative frequency probability: A quarter is flipped 2000 times and results in 500 heads. The 25% (500/2000) chance of heads is a A) subjective probability. B) relative frequency probability. Points Earned: 1.0/1.0 2. A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona, and Leila) and one male assistant (Josh). Each TA teaches one discussion section. A student picks a discussion section. The two events W = {the TA is a woman} and J = {the TA is Josh} are A) independent events. B) disjoint (mutually exclusive) events. C) each simple events. D) None of the above. Feedback: These events are mutually exclusive since ...
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STAT 200: Introduction to Statistics Final Exam A+ Complete Solutionination Spri