Question

n: 10, 15, 20, 25 df: find 1-a: 90 percent, 90 percent, 90 percent, 90 percent a: 10 percent, 10 percent, 10 percent, 10 percent f: find Find Student's t-critical values 1. Find the appropriate degrees of freedom for the given sample size. 2. Find the approrpriate t critical values for the given confidence level and degrees of freedom.

Answer #1

**Answer:-**

**Given That:-**

Statistics and Probability

n: 10, 15, 20, 25 df: find 1-a: 90 percent, 90 percent, 90 percent, 90 percent a: 10 percent, 10 percent, 10 percent, 10 percent f: find Find Student's t-critical values

**1. Find the appropriate degrees of freedom for the given
sample size.**

Degrees of freedom is n-1

**2. Find the approrpriate t critical values for the given
confidence level and degrees of freedom.**

To find t* we use excel function tinv(0.1,df)

n | 10 | 15 | 20 | 25 |

df | 9 | 14 | 19 | 24 |

CI | 90% | 90% | 90% | 90% |

10% | 10% | 10% | 10% | |

t* | 183 | 176 | 173 | 171 |

you are calculating a confidence interval for the population
mean. Find the critical value t* from the t-Distribution Critical
Values table for each of the following situations
A 95% confidence interval based on n = 12 observations.
A 99% confidence interval from a sample of two observations.
A 90% confidence interval from a sample of size 1001.
2. Suppose you conduct a hypothesis test for the following
hypotheses from a sample of n = 25 observations, and you calculate
a...

Find the P-Value for the given scenarios. df means degree of
freedom. n means sample size.
Upper-tailed test, df = 8, t = 2.0
Upper-tailed test, n=14, t = 3.2
Lower-tailed test, df = 10, t = -2.4
Lower-tailed test, n = 22, t = -3.8
Two-tailed test, df = 15, t = -1.6
Two-tailed test, n = 36, t = 1.6

Identify the critical t. An independent random sample is
selected from an approximately normal population with unknown
standard deviation find the degrees of freedom and the critical t
value (t*) for the given sample size and confidence level.
n=6,CL=90%
N=21, CL=98%
n=29, CL= 95%
n=12,CL=99%

Find the critical values χ2L and χ2R for the given confidence
level c and sample size n. c=0.9 n=26
χ2L =
χ2R=
-Find the critical values χ2L and χ2R for the given confidence
level c and sample size n. c=0.8 n=25
χ2L:
χ2R:

Find the critical values for a 90% confidence interval assuming
this is a chi-squared distribution problem and the degrees of
freedom are 10.

Is a t-Distribution Appropriate?
A sample with size n=75 has x¯=18.92, and s=10.1. The dotplot for
this sample is given below.
If it is appropriate, give the degrees of freedom for the
t-distribution and give the estimated standard error. If
it is not appropriate, enter -1 in both of the answer fields
below.
Enter the exact answer for the degrees of freedom and round your
answer for the standard error to two decimal places.
DF=
Standard Error=

1.Given a sample size of n=19, what is the degree of freedom for
hypothesis testing and confidence intervals for mean
2.Given α=0.01 and n=30, find the positive critical t-score for
a one-tail test of hypothesis.

Using the T-Table, find the following values:
a) For a 90% confidence interval with a sample size of 11, tc
=
b) For a 95% confidence interval with a sample size of 20,
tc=
c) For a 99% confidence interval with a sample size of 25,
tc=

1) The one-sample t statistic for testing
H0: μ = 10
Ha: μ
> 10
from a sample of n = 19 observations has the value
t = 1.83.
(a) What are the degrees of freedom for this statistic?
(b) Give the two critical values t* from the t
distribution critical values table that bracket t.
< t <
(c) Between what two values does the P-value of the test
fall?
0.005 < P < 0.010.01 < P <
0.02 0.02...

1) Find the critical values chi Subscript Upper R Superscript 2
and chi Subscript Upper L Superscript 2 for the given confidence
level c and sample size n. c 0.90, n=15
2) Use the confidence interval to find the margin of error and
the sample mean. ( left 0.672,0.850 )

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