Question

# A population of values has a normal distribution with μ=104.4μ=104.4 and σ=5.3σ=5.3. You intend to draw...

A population of values has a normal distribution with μ=104.4μ=104.4 and σ=5.3σ=5.3. You intend to draw a random sample of size n=16n=16.

What is the mean of the distribution of sample means?
μx¯=

What is the standard deviation of the distribution of sample means (i.e. the standard error)?
(Report answer accurate to 2 decimal places.)
σ¯x=

Solution :

Given that,

mean = $\mu$ = 104

standard deviation = $\sigma$ = 5.3

n = 16

$\mu$$\bar x$ = 104

$\sigma$$\bar x$ = $\sigma$ / $\sqrt$ n

= 5.3 $\sqrt$ 16

=1.325

$\sigma$$\bar x$= 1.32

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### A population of values has a normal distribution with μ=89.8 and σ=85.9. You intend to draw a random sample of size n=13...

A population of values has a normal distribution with μ=89.8 and σ=85.9. You intend to draw a random sample of size n=131. What is the mean of the distribution of sample means? μx¯= What is the standard deviation of the distribution of sample means (i.e. the standard error)? (Report answer accurate to 2 decimal places.) σ¯x=

• ### A population of values has a normal distribution with μ=148 and σ=5.4. You intend to draw...

A population of values has a normal distribution with μ=148 and σ=5.4. You intend to draw a random sample of size n=104. What is the mean of the distribution of sample means? μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=

• ### A population of values has a normal distribution with μ=151μ=151 and σ=48.2σ=48.2. You intend to draw...

A population of values has a normal distribution with μ=151μ=151 and σ=48.2σ=48.2. You intend to draw a random sample of size n=43n=43. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=

• ### A population of values has a normal distribution with μ=121.3μ=121.3 and σ=57.2σ=57.2. You intend to draw...

A population of values has a normal distribution with μ=121.3μ=121.3 and σ=57.2σ=57.2. You intend to draw a random sample of size n=27n=27. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯= ule 7 The Central Limit Theorem Due in 6 hours, 52 A population of values has a normal distribution with y = 121.3 ando = 57.2. You intend...

• ### A population of values has a normal distribution with μ=161.9μ=161.9 and σ=55.7σ=55.7. You intend to draw...

A population of values has a normal distribution with μ=161.9μ=161.9 and σ=55.7σ=55.7. You intend to draw a random sample of size n=61n=61. What is the mean of the distribution of sample means? μ¯x=μx¯=  (Enter your answer as a number accurate to 4 decimal places.) What is the standard deviation of the distribution of sample means? (Report answer accurate to 4 decimal places.) σ¯x=σx¯=

• ### A population has parameters μ=121.3μ=121.3 and σ=57.7σ=57.7. You intend to draw a random sample of size...

A population has parameters μ=121.3μ=121.3 and σ=57.7σ=57.7. You intend to draw a random sample of size n=160n=160. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯= You intend to draw a random sample of size n=636n=636 from a population whose parameter is p = 0.40133333333333 What is the mean of the distribution of sample means? μˆp=μp^=   What is the...

• ### A population of values has a normal distribution with μ = 134.3 and σ = 62.4 . You intend to draw a random sample of size n = 137 . What is the mean of the distribution of sample means? μ ¯ x = What is the standard deviation of the distrib

A population of values has a normal distribution with μ=134.3μ=134.3 and σ=62.4σ=62.4. You intend to draw a random sample of size n=137n=137.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=

• ### 7.4. A population of values has a normal distribution with μ-: 60.2 and σ You intend...

7.4. A population of values has a normal distribution with μ-: 60.2 and σ You intend to draw a random sample of size n 129. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? Round to 4 decimal places. Points possible: 5 This is attempt 1 of 5. icense

• ### 1) A population of values has a distribution with μ=6μ=6 and σ=23.1σ=23.1. You intend to draw...

1) A population of values has a distribution with μ=6μ=6 and σ=23.1σ=23.1. You intend to draw a random sample of size n=90n=90. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? μ¯x=μx¯=   (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=   (c) In a random sample of n=90, what is the probability that its sample mean is more than 4.2? Round...

• ### A population of values has a normal distribution with μ=180.1μ=180.1 and σ=93.4σ=93.4. You intend to draw...

A population of values has a normal distribution with μ=180.1μ=180.1 and σ=93.4σ=93.4. You intend to draw a random sample of size n=90n=90. Find the probability that a single randomly selected value is greater than 185. P(X > 185) = Find the probability that a sample of size n=90n=90 is randomly selected with a mean greater than 185. P(¯xx¯ > 185) = A population of values has a normal distribution with μ=167.8μ=167.8 and σ=34.4σ=34.4. You intend to draw a random sample...