Questions: How Many Apps for Your Smartphone?
A random sample of n=461 smartphone users in the US in January 2015 found that 355 of them have downloaded an app. Of the n=355 smartphone users who had downloaded an app, the average number of apps downloaded was 19.7.
(c) Give the value of the best estimate.
Best estimate =
Transcript text: How Many Apps for Your Smartphone?
A random sample of $n=461$ smartphone users in the US in January 2015 found that 355 of them have downloaded an app. Of the $n=355$ smartphone users who had downloaded an app, the average number of apps downloaded was 19.7.
(c) Give the value of the best estimate.
Best estimate $=$
Solution
Solution Steps
To find the best estimate for the average number of apps downloaded by all smartphone users, we can use the sample mean of the number of apps downloaded by those who have downloaded at least one app. This is because the sample mean is the best point estimate of the population mean.
Step 1: Identify the Sample Mean
The sample mean of the number of apps downloaded by the smartphone users who have downloaded at least one app is given as \( \bar{x} = 19.7 \).
Step 2: Determine the Best Estimate
The best estimate for the average number of apps downloaded by all smartphone users is the sample mean, as it is the best point estimate of the population mean.
Final Answer
The best estimate for the average number of apps downloaded by all smartphone users is \(\boxed{19.7}\).