was does this symbol represent
mu
population mean
What test statistic do we use if sigma is known
Z
What test statistic do we use if sigma is unknown?
T
What test statistic do we use if we have a hypothesis test with proportions?
Z
The standard deviation of a sample of 25 observations equals 10. The variance of the sample equals?
100
If we are looking for population standard deviation, what symbol do we use?
sigma
What would your null hypothesis be?
H0:
mu le 1.15billion
What would your alternative hypothesis be?
Ha:
mu<16
What would your hypotheses be?
Ho:p≤.35 Ha:p>.35
pvalues and alphas can never be...
negative
If we are not given sigma, what will we be using instead?
(hint: think T test statistics)
s (sample standard deviation)
What would your test statistic be?
z=1.52
What is the test statistic?
T=1.07
What would we use as our population standard deviation?
.0607
The total area under the curve is..
1 (.5 to the left of the mean and .5 to the right)
What symbol represents type I error
(rejecting a true null hypothesis)
alpha
If we have an upper tail test Z=1.8 and a=.05 what is the pvalue and conclusion?
pvalue=.0359
We reject the null
If we have an upper tail test and T=1.83, n=10. If a=.01 what is the pvalue and what is your conclusion?
pvalue=.05
we fail to reject
What would your test statistic be?
z=.49
A random variable having a normal distribution with a mean of ______ and a standard deviation of _____ is said to have a standard normal probability distribution
0,1
What symbol represents type II error
(Failing to reject a false null hypothesis)
beta
If we have a 2 tailed hypothesis test and Z=-1.45 and a=.05 what is/are the critical values and what is your conclusion?
critical values= +/- 1.96
We fail to reject
If we have a two tailed test, T=-4, df=8, a=.01, what is/are the critical value(s) and your conclusion?
Critical Value= +/- 3.55
we reject the null
what would your pvalue and critical values be when Z=.49 and a=.05
pvalue=.3121
critical value=1.645
99.72% of values of a normal random variable are within _____ standard deviations of its mean
3