Assume a sample size of n = 17. Draw a picture of the
distribution of the t statistic under the null hypothesis.
Use Table Dand your picture to illustrate the values of the test
statistic that would lead to rejection of the null hypothesis at
the 5% level for a two-sided alternative.
(a) What is/are the value(s) of the critical t in this
case? (Enter your answer as a comma-separated list using three
decimal places.)
Usually, the sample size is small (n<30), we would use the
t-distribution value. However, if we know the population standard
deviation, we still use the z-distribution value even though the
sample size is small. Describe what the reason that we use
z-distribution if we know the population standard
deviation.
What is the value of t*, the critical value of the t distribution for a sample of size 14, such that the probability of being greater than t* is 0.01?
t* =
Find the critical value(s) for a hypothesis test using a sample
of size n = 12,
a significance level α = 0.01 and null hypothesis H0: μ
≤ 40.
Assume that the population SD is unknown.
2.718
2.68
3.11
2.33
Find the value of t for a t-distribution with 3 degrees of
freedom such that the area to the left of t equals 0.10.
Possible Answers:
A. 5.841
B. 4.541
C. -2.333
D. -1.638
Find the critical value of t for a t-distribution with 30
degrees of freedom such that the area between -t and t is 99%
A student records the repair costs for 25 randomly selected
computers from a local repair shop where he works. A sample mean of
$216.53 and standard deviation of $15.86 are subsequently computed.
Assume that the population distribution is approximately normal and
s is unknown. Determine the 98% confidence interval for the mean
repair cost for all...
Given a sample size of n=10 and t=1.81, estimated the
p-value.
between 0.925 and 0.95
between 0.05 and 0.075
between 0.85 and 0.9
between 0.1 and 0.15
Given a sample size of n=45, what is the degree of freedom for
hypothesis testing and confidence intervals for mean
Given a sample mean of 5.1, sample deviation of 0.75 and a
sample size of 21, assuming the data is normally distributed, give
the upper limit on a 95% confidence interval.
Given α=0.01...
A. Find the value of the mean of a sample of size 10 such that
probability of finding that value of mean or less has a probability
of 0.8234, when the population mean is Mu = 604, and the population
standard deviation is 146
B. Find the value of the mean of a sample of size 14 such that
probability of finding that value of mean or less has a probability
of 0.0468, when the population mean is Mu =...
Suppose we find that, the average engine size in our sample of
size n = 30 is 192 cubic inches, with a standard deviation of 104
cubic inches. Use these statistics to compute a 90% confidence
interval of population mean, that is, the average engine size for
all.