Activity: Esumates evieH Solve the given problem by completing what is required in the table. Be guided with examples from the discussion. The average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95% confidence level. Solution: (a) Point Estimate Steps 1. Describe the population parameter of interest. Solution The parameter of interest is the the weight of chocolate bars. (1) of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Activity: Estimates
Solve the given problem by completing what is required in the table. Be guided with
ort eonebftooo
1A
etuaen or edhoesd
examples from the discussion.
The average weight of 25 chocolate bars selected from a normally distributed population is
200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence
interval using 95% confidence level.
Solution:
(a) Point Estimate
Steps
1. Describe the population
parameter of interest.
Solution
The parameter of interest is the
the weight of chocolate bars.
(1) of
Transcribed Image Text:Activity: Estimates Solve the given problem by completing what is required in the table. Be guided with ort eonebftooo 1A etuaen or edhoesd examples from the discussion. The average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95% confidence level. Solution: (a) Point Estimate Steps 1. Describe the population parameter of interest. Solution The parameter of interest is the the weight of chocolate bars. (1) of
2. Specify the confidence interval criteria.
a. Check the assumptions.
(2) chocolate bars is
(3) distributed coming from a normally
The sample size of
distributed population.
The test statistic is
--test (4).
b. Determine the test
statistic to be used to
calculate the interval.
C. State the level of
confidence.
3. Collect and present sample evidence.
Collect the sample
information.
(5).
The level of confidence is
(6)
,n3D
The sample information consists of X
(7), and s =
%3D
a.
(8).
The point estimate for the population mean is
(9)
b. Find the point estimate.
9onebino
(b) 95% Confidence Interval
4. Determine the confidence interval.
a. Determine the confidence
coefficient,
TOW
The degrees of freedom is
(10)
no The confidence coefficients in the t-table under 95%
(two-tailed test) are
(11)
b. Find the maximum error
E = ta/2
Е.
vn.
E =
(12) Substitute Values
eonobilnoo d2
E =
(13) Final Answer
c. Find the lower and the
upper confidence limits.
a.20.0
soneblinos aee
Upper Confidence Limit
X +E
(16) Substitute Values
Lower Confidence Limit
X-E
(14) Substitute Values
(15) Final Answer
(17) Final Answer
At 95% confidence, the population mean
based on 25 chocolate bars can be found in the interval
between
d. Describe the results.
(18)
(19) and
(20)
grams.
Vemon e mon botoeloe ad etsiogorlo 2 to
Transcribed Image Text:2. Specify the confidence interval criteria. a. Check the assumptions. (2) chocolate bars is (3) distributed coming from a normally The sample size of distributed population. The test statistic is --test (4). b. Determine the test statistic to be used to calculate the interval. C. State the level of confidence. 3. Collect and present sample evidence. Collect the sample information. (5). The level of confidence is (6) ,n3D The sample information consists of X (7), and s = %3D a. (8). The point estimate for the population mean is (9) b. Find the point estimate. 9onebino (b) 95% Confidence Interval 4. Determine the confidence interval. a. Determine the confidence coefficient, TOW The degrees of freedom is (10) no The confidence coefficients in the t-table under 95% (two-tailed test) are (11) b. Find the maximum error E = ta/2 Е. vn. E = (12) Substitute Values eonobilnoo d2 E = (13) Final Answer c. Find the lower and the upper confidence limits. a.20.0 soneblinos aee Upper Confidence Limit X +E (16) Substitute Values Lower Confidence Limit X-E (14) Substitute Values (15) Final Answer (17) Final Answer At 95% confidence, the population mean based on 25 chocolate bars can be found in the interval between d. Describe the results. (18) (19) and (20) grams. Vemon e mon botoeloe ad etsiogorlo 2 to
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