Question

1.Find the critical value t_{α/2} needed to construct a
confidence interval of the given level with given sample
size.

Level 90%, sample size 21

Group of answer choices

1.725

1.325

1.721

1.645

2.

Find the probability P(-0.62 < z < -0.01) using the standard normal distribution.

Group of answer choices

0.2284

0.3584

0.7716

0.1900

Answer #1

Solution :

Given that,

1.

sample size = n = 21

Degrees of freedom = df = n - 1 = 21 - 1 = 20

At 90% confidence level the t is ,

= 1 - 90% = 1 - 0.90 = 0.1

/ 2 = 0.1/ 2 = 0.05

t /2,df = t0.05,20 = 1.725

he critical value tα/2 = **1.725**

2.

Using standard normal table ,

P(-0.62 < z < -0.01)

= P(z < -0.01) - P(z < -0.62)

= 0.496 - 0.2676

= 0.2284

P(-0.62 < z < -0.01) = **0.2284**

Find the critical value t a/2 needed to construct a confidence
interval of the given level with th sample size. Round the amswers
to theee decimal places.
For level 95% and sample size 11?
For level 98% and sample size 26?
For level 99% and sampke size 12?

1) Find the critical value t (a/2) needed to construct a
confidence interval of the given level with the given sample size.
Round the answers to three decimal places
a) 98% sample size 11
critical value-
b) for level 95% and sample size 25
critical value-
c)for level 99% and sample size 14
2) a sample of size n equals 45 has a sample mean X equals 56.9
and sample standard deviation s equals 9.4.
construct a 99% confidence interval...

Find the critical value
t/α2
needed to construct a confidence interval of the given level
with the given sample size. Round the answers to three decimal
places.
Part 1 of 4
(a) For level
99%
and sample size
5
Part 2 of 4
(b) For level
90%
and sample size
14
Part 3 of 4
(c) For level
99.5%
and sample size
28
Part 4 of 4
(d) For level
95%
and sample size
11

Use Table A.3 to find the critical value 2
ta/2 needed to construct a confidence interval
of the given level with the given sample size:
a. Level 99%, sample size 19
b. Level 90%, sample size 172

Find the critical value
t/α2
needed to construct a confidence interval of the given level
with the given sample size. Round the answers to three decimal
places.
(a) For level
99.5%
and sample size
6
(b) For level
95%
and sample size
15
(c) For level
80%
and sample size
29
(d) For level
98%
and sample size
12

Find the critical value tα to be
used for a confidence interval for the mean of the population in
each of the following situations.
(a) a 95% confidence interval based on n = 12
observations
(b) a 90% confidence interval from an SRS of 22 observations
(c) an 80% confidence interval from a sample of size 40

1. Do one of the following, as appropriate: (a) Find the
critical value zα/2, (b) find the critical value
tα/2, (c) state that neither the normal nor the t
distribution applies.
90%; n = 10; σ is unknown; population appears to be normally
distributed.
Group of answer choices
A. zα/2 = 2.262
B. zα/2 = 1.383
C. tα/2 = 1.833
D. tα/2 = 1.812
2. Find the margin of error.
95% confidence interval; n = 91 ; = 53, s =...

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Use technology to find the critical value tα/2 that corresponds
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Please break it down for me into steps - I am having a tough
time grasping the concepts and want to understand. Thanks!!

Find the critical value, tα/2, for confidence level = 0.90 and n
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