Scribd
Upload
62 views3 pages

Adorable Question: Identification

This document defines statistical terms like estimators, point estimators, and interval estimators. It also provides examples of how to calculate 95% and 99% confidence intervals for means using sample data. Specifically, it shows how to construct confidence intervals for the (1) mean daily intake of dairy products for men using a sample of 50 people, (2) mean glucose content of a single serving of artificial sweetener using a sample of 20 servings, and (3) average score of 100 students on an achievement test. The confidence intervals are calculated using the point estimate, standard deviation, sample size, and relevant z-score.

Uploaded by

diego lopez
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
62 views3 pages

Adorable Question: Identification

This document defines statistical terms like estimators, point estimators, and interval estimators. It also provides examples of how to calculate 95% and 99% confidence intervals for means using sample data. Specifically, it shows how to construct confidence intervals for the (1) mean daily intake of dairy products for men using a sample of 50 people, (2) mean glucose content of a single serving of artificial sweetener using a sample of 20 servings, and (3) average score of 100 students on an achievement test. The confidence intervals are calculated using the point estimate, standard deviation, sample size, and relevant z-score.

Uploaded by

diego lopez
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 3

Identification – Adorable Question

 It is the numerical descriptive measures that characterizes the population


parameter.
 It is a rule usually expressed as a formula that tells how to calculate on estimate
based on information in the sample. It is also used to calculate for point estimate
and interval estimate.

Estimator
 This is a single number calculated based on sample data. Also called as
resulting numbers

Point Estimator
 Two numbers are calculated to form an interval within which the parameter is
expected to lie with a certain degree of confidence.

Interval Estimate

 The rule or formula describing the calculation of Interval estimate.

Interval Estimator

 Formula of Confidence Interval for population mean.

a σ
x́ ± Z
2 √n

Problem Solving Saga


1. A nutritionist wanted to monitor the chemical contaminants in food, and thereby,
accumulate contaminants in human diets, selected a random sample of n = 50 male
adults. He found out that the average daily intake of doing products was x́ = 800 grams
per day with a standard deviation of s = 23 grams per day. Use the sample information
to construct a 95% confidence interval for the mean daily intake of dairy products for
men.

a
n = 50 s = 23 grams Z = 1.96
2

x́ = 800 grams CI = 95%


a s
x́ ± Z
2 √n

23 23
800 ± 1.96 = 800 + 1.96 = 806.38
√ 50 √50
23
= 800 – 1.96 = 793.62
√ 50
• 793.62 < μ < 806.38

2. In a random sample of 20 similar servings of an artificial sweetener, the mean


glucose content was 14.3 grams with standard deviation of 3.45 grams. Assuming that
the glucose content is normally distributed, construct a 95% CI for the mean glucose
content for single service of the artificial sweetener.

a
n = 20 σ = 3.45 grams Z = 1.96
2

x́ =14.3 grams CI = 95%

a s
x́ ± Z
2 √n

3.45 3.45
14.3 ± 1.96 √ 20 = 14.3 + 1.96 √ 20 = 15.81

3.45
= 14.3 – 1.96 = 12.79
√ 20
• 12.79 < μ < 15.81
3. A survey revealed that the mean scored of 100 Grade 8 students in an achievement
test is 93.0 with standard deviation of 7.3. Construct a 99% confidence interval for the
average scored of the students in the achievement test.

a
n = 100 s = 7.3 Z = 2.58
2

x́ = 93.0 CI = 99%

a s
x́ ± Z
2 √n

7.3 7.3
93.0 ± 2.58 √100 = 93.0 + 2.58 √100 = 94.88

7.3
= 93.0 - 2.58 = 91.12
√ 100

91.12 < μ < 94.88

You might also like