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Vinil7 [7]
3 years ago
12

A dentist is interested in obtaining information about delinquent (past due) accounts. Since the practice opened 8 years ago, de

linquent accounts are normally distributed with an average of 43 days and a variance of 196.00 days. The dentist randomly selected a sample of 20 delinquent accounts with an average of 47 days.

Biology
2 answers:
Komok [63]3 years ago
7 0

Answer:0.1059

Explanation:

Please see attached a solved copy of the question

kkurt [141]3 years ago
6 0

Answer:

<em>The average number of days is more than 43% from the past 8 years is 43.15 days and it is less than Sample mean of 47 for 20 samples</em>

Explanation:

From the data

Population mean = μ=43 days

Population variance=\sigma^2=196

                                  \sigma=\sqrt{196}=14

Sample size n=20

Sample mean \bar{x}=47

Part a:

Using values from the reference question found online.

Given α=43%

α=0.43

At 1-α=0.57

z_{\alpha} from the table yields 0.18

Now the value is given as

\bar{x}=\mu+z_{\alpha}\sqrt{\frac{\sigma}{n}}\\\bar{x}=43+0.18\sqrt{\frac{14}{20}}\\\bar{x}=43.15 days

Part b:

Sample mean of 47 for 20 samples is more than 43% of the days from last 8 years.

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