Mr. Webb has only one more starting position available on his basketball team, but two students have tried out for it. He wants to choose the student who is likely to score the most points. The two students from whom he can choose are described below.

Step-by-step explanation:

Hello!

The FMA Company designed a new type of bowling ball and want to test if the new bowling average differs from the bowling average of the old model. Symbolically μ≠155

Sample:

n= 120 men bowling in scratch leagues

sample mean x[bar]= 170

variance δ²= 100

The hypothesis is:

H₀:μ=155

H₁:μ≠155

α: 0.05

The statistic to use for this hypothesis, assuming that the variable has a normal distribution.

Z= x[bar]-μ ≈ N(0;1)

δ/√n

The critical region for this test is two-tailed, this means you'll reject the null hypothesis to small or big values of the statistic.

= = -1.96

= = 1.96

You'll reject the null hypothesis to values of Z≤-1.96 or Z≥1.96.

Under the null Hypothesis the statistic value is:

Z= x[bar]-μ

δ/√n

Z= 170-155

10/√120

Z= 15/0.913 = 16.42

Decision: Reject the null Hypothesis.

I hope you have a SUPER day!