True or False and why
1.The variability due to error (SSE) is always smaller than the
variation explained by the model (SSModel).
2.If the size of the typical error increases, then the
prediction interval for a new observation becomes narrower.
3. For the same value of the predictor, the 95% prediction
interval for a new observation is always wider than the 95%
confidence interval for the mean response.
4.If the correlation between X1 and Y is greater (in magnitude)
than...
Sigma known
Ratings
Population Standard Deviation
2.64
Mean
42.95384615
95% CI Margin of Error
Standard Error
0.327747828
0.641805331
Median
43
95% Confidence Interval
Mode
44
42.31204082
43.59565148
Standard Deviation
2.642387469
99% CI Margin of Error
Sample Variance
6.982211538
0.843188126
Kurtosis
-0.392154755
99% Confidence Interval
Skewness
-0.446608112
42.11065803
Range
12
43.79703428
Minimum
36
Maximum
48
Sum
2792
Sigma Unknown
Count
65
95% Confidence Interval
Confidence Level(95.0%)
0.654751556
42.2990946
43.60859771
State the 95% confidence interval for sigma
unknown.
What is the multiplier...
Explain why the standard error of a sampling distribution will
always be smaller than the standard deviation of a population. For
you answer do not discuss the formula (since formulas are just the
shorthand notation for concepts), explain this phenomenon
conceptually.
Std. Err (standard error): The average deviation of sample
means from the hypothesized population mean of 4.73 drinks is about
0.44 drinks.
T-stat (T-score): The observed sample mean of 3.93 drinks is
1.8 standard errors below the hypothesized population mean of 4.73
drinks.
P-value: If the population mean is 4.73 drinks, there is a 7.2%
chance that sample means will have an error larger than that
observed in our sample (observed error = 4.73 – 3.93 = 0.8 drinks)
when...
1. In general, the sample mean is a better estimator of the
population mean for larger sample sizes.
True
False
2.
If events A and B are not mutually
exclusive, then it is possible that P( A)
+ P( B) > 1.
True
False
3.
What method of data collection would you use to collect data for
a study where a drug was given to 95 patients and a placebo to
another group of 95 patients to determine if the drug has an effect...
In a test of the hypothesis that the population mean is
smaller than 50, a random sample of 10 observations is selected
from the population and has a mean of 47.0 and a standard deviation
of 4.1. Assume this population is normal.
a) Set up the two hypotheses for this test. Make sure you write
them properly.
b) Check the assumptions that need to hold to perform this
hypothesis test.
c) Calculate the t-statistic associated with the sample.
d) Graphically...
Two resistors have resistances R(smaller) and R(larger), where
R(smaller) < R(larger). When the resistors are connected in
series to a 12.0-V battery, the current from the battery is 1.48 A.
When the resistors are connected in parallel to the battery, the
total current from the battery is 10.9 A. Determine the two
resistances. R(smaller)= R(larger)=
Two resistors have resistances R(smaller) and R(larger), where
R(smaller) < R(larger). When the resistors are connected in
series to a 12.0-V battery, the current from the battery is 1.43 A.
When the resistors are connected in parallel to the battery, the
total current from the battery is 9.95 A. Determine the two
resistances.
As the sample size increases
the standard error becomes smalller
the sampling error increases
the population standard deviation increases
the standard error becomes larger
The purpose of the finite corretion factor for the standard
error of the mean is to reflect the fact that the
sampling error is higher for a finite population when compared
to an infinite population
sampling error is lower for a finite population when compared
to an infinite population
sample size is not at least 30...