Question

Please answer all the questions

Directions: Find the mean and standard deviation of the sampling distribution of sample means using the given information.   (Note: tilde sign (~) means approximately)

1. µ = 35 and σ = 9; n = 64

1. µ_x = 35 and σ_x = ~1.1
2. µ_x = 53 and σ_x = ~1.9
3. µ_x = 8 and σ_x = ~64

D. None of the above

2. µ = 28 and σ = 6; n = 81

1. µ_x= 10 and σ_x = ~0.7
2. µ_x= 14 and σ_x = ~0.9
3. µ_x= 28 and σ_x = ~0.7
4. None of the above

3. µ = 12 and σ = 2.3; n = 36

1. µ_x= 13 and σ_x = ~0.78
2. µ_x= 12 and σ_x = ~0.85
3. µ_x= 21 and σ_x = ~0.90
4. µ_x= 12 and σ_x = ~0.38

4. µ = 9.5 and σ = 10; n = 39

1. µ_x = 10.5 and σ_x = ~1.40
2. µ_x = 5.9 and σ_x = ~1.00
3. µ_x = 6.5 and σ_x = ~1.40
4. µ_x = 9.5 and σ_x = ~1.60

5. A study of the latest diet fad claimed the amount of weight lost by all people on this diet varied by a standard deviation of 5.8 pounds. If a sampling distribution is created using samples of size 100, what would be the standard deviation of the sampling distribution of the sampling means?

1. σ_x = ~0.58
2. σ_x = ~0.02
3. σ_x = ~0.89
4. σ_x = ~0.23

Answer 1