A statistics student is trying to decide whether she should take a gamble and play
Bingo. The average Bingo player earns $9 per game, distributed normally, with a
population standard deviation of $8 . If a sample of 25 Bingo players are selected
at random from the population, select the expected mean of the sampling
distribution and the standard deviation of the sampling distribution below.
Well done! You got it right.
σx¯=$0.32
σx¯=$8
σx¯=$1.60
μx¯=$9
μx¯=$1.80
μx¯=$0.36
Answer Explanation
, Correct answer:
σx¯=$1.60
μx¯=$9
The standard deviation of the sampling distribution is:
σx¯=σn−−√=$825−−√=$1.60
When the distribution is normal the mean of the sampling distribution is equal to
the mean of the population μx¯=μ
Question
A well known social media company is looking to expand their online presence by
creating another platform. They know that they current average 2,500,000
users each day, with a standard deviation of 625,000 users. If they randomly
sample 50 days to analyze the use of their existing technology, identify each of the
following, rounding to the nearest whole number if necessary:
Answer 1:
Not quite - review the answer explanation to help get the next one.
mu is equal to$\mu=$μ= 2 comma 500 comma 000$$2,500,0002 comma 500 comma 000 -
correct users
sigma is equal to$\sigma=$σ= 625 comma 000$$625,000625 comma 000 - correct users
n is equal to$n=$n= 50$$5050 - correct
mu sub line segment x is equal to $\mu_{\overline{x}}=$μghx= 625 comma 00050$
$625,00050625 comma 00050 - incorrect users
sigma sub line segment x is equal to$\sigma_{\overline{x}}=$σghx= 88 comma 388$$88,38888
comma 388 - correct users
response - incorrect
Bingo. The average Bingo player earns $9 per game, distributed normally, with a
population standard deviation of $8 . If a sample of 25 Bingo players are selected
at random from the population, select the expected mean of the sampling
distribution and the standard deviation of the sampling distribution below.
Well done! You got it right.
σx¯=$0.32
σx¯=$8
σx¯=$1.60
μx¯=$9
μx¯=$1.80
μx¯=$0.36
Answer Explanation
, Correct answer:
σx¯=$1.60
μx¯=$9
The standard deviation of the sampling distribution is:
σx¯=σn−−√=$825−−√=$1.60
When the distribution is normal the mean of the sampling distribution is equal to
the mean of the population μx¯=μ
Question
A well known social media company is looking to expand their online presence by
creating another platform. They know that they current average 2,500,000
users each day, with a standard deviation of 625,000 users. If they randomly
sample 50 days to analyze the use of their existing technology, identify each of the
following, rounding to the nearest whole number if necessary:
Answer 1:
Not quite - review the answer explanation to help get the next one.
mu is equal to$\mu=$μ= 2 comma 500 comma 000$$2,500,0002 comma 500 comma 000 -
correct users
sigma is equal to$\sigma=$σ= 625 comma 000$$625,000625 comma 000 - correct users
n is equal to$n=$n= 50$$5050 - correct
mu sub line segment x is equal to $\mu_{\overline{x}}=$μghx= 625 comma 00050$
$625,00050625 comma 00050 - incorrect users
sigma sub line segment x is equal to$\sigma_{\overline{x}}=$σghx= 88 comma 388$$88,38888
comma 388 - correct users
response - incorrect
