The Yonkers integrity auditor examined the weights of Oreo cookies for 12 randomly selected Oreo cookies The sample gave the following results in 11.22,11.35,11.50,11.73,11.42,11.15,11.43,11.65,11.56,11.06,10.82,10.99 Weights of Oreo cookies are known to be normally distributed. with an unknown mean of μ and an unknown standard deviation o. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the sample median for this data. d) Calculate the sample range for this data. (One number) e) Calculate the sample variance for this data. f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .05 then what is t? g) Suppose W has a t distribution with 11 degrees of freedom. If P(W

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The Yonkers integrity auditor examined the weights of Oreo cookies for 12 randomly selected Oreo cookies The sample gave the following results in grams:
11.22,11.35,11.50,11.73,11.42,11.15,11.43,11.65,11.56,11.06,10.82,10.99
Weights of Oreo cookies are known to be normally distributed, with an unknown mean of μ and an unknown standard deviation o.
a) Calculate the sample mean for this data.
b) Calculate the sample standard deviation for this data.
c) Calculate the sample median for this data.
d) Calculate the sample range for this data. (One number)
e) Calculate the sample variance for this data.
f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .05 then what is t?
g) Suppose W has a t distribution with 11 degrees of freedom. If P(W <t) = .05 then what is t?
h) Calculate the 95th percentile of a standard normal distribution.
i) Compute an 90% confidence interval for using your answers above.
j) Compute an 90% prediction interval for using your answers above.
k) Copy your R script or other comments for the above into the text box here.
Transcribed Image Text:The Yonkers integrity auditor examined the weights of Oreo cookies for 12 randomly selected Oreo cookies The sample gave the following results in grams: 11.22,11.35,11.50,11.73,11.42,11.15,11.43,11.65,11.56,11.06,10.82,10.99 Weights of Oreo cookies are known to be normally distributed, with an unknown mean of μ and an unknown standard deviation o. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the sample median for this data. d) Calculate the sample range for this data. (One number) e) Calculate the sample variance for this data. f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .05 then what is t? g) Suppose W has a t distribution with 11 degrees of freedom. If P(W <t) = .05 then what is t? h) Calculate the 95th percentile of a standard normal distribution. i) Compute an 90% confidence interval for using your answers above. j) Compute an 90% prediction interval for using your answers above. k) Copy your R script or other comments for the above into the text box here.
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