Question

True or False

6. T F The confidence interval for the average of a number of future observations at a given value of the independent variable increases as the number of those future observations increases.

7. T F When you can accept a relatively large error in not rejecting a true hypothesis, you make the desirable condition the alternative hypothesis

8. T F The experimenter cannot control the independent variable at all times.

9. T F Decreasing the standard deviation will widen a confidence interval

10. T F Regression analysis depends on minimizing the sum of the squares of the

Answer #1

6) False

As the number of observation increase, the confidence interval becomes narrower and precise

7) False, this is you are committing a type I error

8) False,

The **control variable** strongly influences
experimental results, and it is held constant during the
**experiment** in order to test the relative
relationship of the **dependent** and independent
**variables**.

The **independent variable** in an
**experiment** is the variable whose value the
scientist systematically changes in order to see what effect the
changes have.

9) False

Decreasing the standard deviation will make the confidence interval narrow. as the margin of error is directly proportional to standard deviation.

10) True

*least squares regression* is a statistical method of
analysis that estimates the relationship between one or more
independent variables and a dependent variable; the method
estimates the relationship by minimizing the sum of the squares in
the difference between the observed and predicted values of the
dependent variable configured as a straight line

T or F: As the sample size increases, the length of the
Confidence Interval for the mean decreases.
T or F: As The level of Confidence increases, the length of the
Confidence interval increases.
T or F: To derive the Confidence Interval formula for the mean
where sigma was assumed, we needed the Central Limit Theorem.
T or F: As the estimate for the true mean (i.e. your sample
mean) increases, the length of the associated Confidence Interval
increases as...

Indicate whether the following statement is true or false.
1. When estimating a confidence interval for the difference
between the means of two independent populations, the pooled
variance is the average of two sample variances, if the two sample
sizes are equal.
2. Both the t-distribution and standard normal distribution have
the same mean, but the t-distribution has a smaller standard
deviation than the standard normal distribution.
3. The standard deviation of the distribution
of (i.e. standard error of the mean)...

True or False Questions
a. Suppose that (-0.47, -0.39) is a confidence interval for the
difference of proportions (p1 -
p2). This indicates that p1 is
greater than p2
b. If two variables are strongly correlated (r > 0.9 or r
< -0.9), we can say that the explanatory variable is causing the
response variable.
c. If two variables are negatively correlated this means that
when one increases the other tends to increase.
d. If p-value < ? then I...

True or false:
1. When constructing a confidence interval for a sample
Mean, the t distribution is appropriate whenever the sample size is
small.
2. The sampling distribution of X (X-bar) is not always
a normal distribution.
3. The reason sample variance has a divisor of n-1
rather than n is that it makes the sample standard deviation an
unbiased estimate of the population standard
deviation.
4. The error term is the difference between the actual
value of the dependent...

True or false? A larger sample size produces a longer confidence
interval for μ.
False. As the sample size increases, the maximal error
decreases, resulting in a shorter confidence interval.True. As the
sample size increases, the maximal error decreases, resulting in a
longer confidence interval. True. As the
sample size increases, the maximal error increases, resulting in a
longer confidence interval.False. As the sample size increases, the
maximal error increases, resulting in a shorter confidence
interval.
True or false? If the...

Significane Level of a=0.05 is used for each hypothesis
test and a confidence level of 95% is used for each confidence
interval estimate.
A random sample of people who work regular 9-5 hours and a
random sample of people who work shifts were asked how many hours
of sleep they get per day on average. An appropriate F-Test was
performed and it was found that the null hypothesis of the F-Test
should be rejected. Can we infer that there is...

T/F Question and explain
1.A 95% confidence interval for population mean μ is 65.6±12.8
from a sample of size n=96. If one took a second random sample of
the same size, then the probability that the 95% confidence
interval for μ based on the second sample contains 65.6 is
0.95.
2.The probability of a Type I error when α=0.05 and the null
hypothesis is true is 0.05.
3.Because an assumption of ANOVA is that all of the population
variances are...

True or False—Indicate if the statement is True (T) or
False (F) for each of the following 10 statements:
__________ 1. The variances between actual operating
results and the initial static budget are almost always made up of
both a volume variance and a flexible budget variance as actual
volume often varies from planned volume and actual costs differ
from budgeted cost.
__________ 2. The variances are considered to be
unfavorable when actual costs exceed budgeted costs and actual
sales...

1. Are the following statements TRUE
or FALSE?:
(a) According to the Central Limit Theorem, given a large sample
size (N > 30), then a normal probability plot of the
same data would necessarily follow a straight line.
(b) A 95% confidence interval for a population mean that does
not include zero would also mean that a hypothesis test on the same
data would yield a significant result at the .05 level.
(c) The mean of a t-distribution with 5...

TRUE OR FALSE:
1. The sampling distribution of (X-bar) is
always a normal distribution according to the Central limit
theorem.
4. If the sampled population is a normal distribution, then the
sampling distribution of (X-bar is normal only for a
large enough sample size.
5. If p=.8 and n=50, then we can conclude that the sampling
distribution of the proportions is approximately a normal
distribution.
8. Assuming the same level of significancea, as the
sample size increases, the critical t-value...

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