You measure the weight of 49 dogs , and find they have a mean weight of 72 ounces. Let's say the population standard deviation is 13.1 ounces. Based on this, construct a displaystyle{90}% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places

he298c

he298c

Answered question

2020-10-28

You measure the weight of 49 dogs , and find they have a mean weight of 72 ounces. Let's say the population standard deviation is 13.1 ounces. Based on this, construct a 90% confidence interval for the true population mean dog weight.
Give your answers as decimals, to two places

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2020-10-29Added 100 answers

Step 1
Given:
Sample Size (n)=49
Sample Mean (X)=72
Population standard deviation (σ)=13.1
Step 2
90% Confidence interval =X±Zα2(σn)
=72±1.165(13.149)
=72±3.0785
=(68.9215,75.0785)
=(68.92,75.08)
Since area corresponding to z value is given in z-table as:
Zα2=Z0.102
=Z0.05
=1.645
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

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