Normal distribution

Given that:

μ = 56 and σ = 7

Find the standardized score for a raw score of 70.

Given that:

μ = 56 and σ = 7

Find the standardized score for a raw score of 52.5.

Given that:

μ = 56 and σ = 7

Find the standardized score for a raw score of 66.5.

Given that:

μ = 56 and σ = 7

Find the standardized score for a raw score of 56.

Given that:

μ = 56 and σ = 7

Find the a raw score for standardized score of 1.3.

Given that:

μ = 56 and σ = 7

Find the a raw score for standardized score of –2.4.

Given that:

μ = 56 and σ = 7

Find the a raw score for standardized score of –0.4.

Given that:

μ = 56 and σ = 7

Find the a raw score for standardized score of 2.0.

If Z ~ N(0, 1²) find Φ(1.62).

[Hint: P(Z < 1.62) = Φ(1.62)]

If Z ~ N(0, 1²) find P(Z > 0.76).

[Hint: P(Z > 0.76) = 1 – Φ(0.76)]

If Z ~ N(0, 1²) find P(Z < –1.32).

[Hint: P(Z < –1.32) = 1 – Φ(1.32)]

If Z ~ N(0, 1²) find P(–1.2 < Z < 1.738).

[Hint: P(–1.2 < Z < 1.738) = Φ(1.738) – Φ(–1.2)]