Question

Need help with this. Thanks for whoever help me!!

For 1-4:

A) List which is the appropriate test from the list below.

B) List the correct hypothesis and claim( do not conduct the rest of the hypothesis test.

1) The golf coach wanted to know if the golfers in Nebraska scored lower than the golfers in Minnesota. A random sample of 15 Nebraska boys scored 78.2 with standard deviation 10.2 and 18 Minnesota boys scored 81.2 with standard deviation 11. Assuming the populations are normally distributed, what can we tell the coach? Let ? = 0.01.

a)

b)

2) In a recent survey of University traditional students, 45 out of 72 seniors want to learn more about financial literacy and 40 out of 70 juniors want to learn more about financial literacy. At a 5% level of significance, do more seniors want to learn about financial literacy?

a)

b)

3) In a previous national study, it was shown that college students slept an average of 6.7 hours the night before an exam with standard deviation 1.86 hours. A random sample of thirty-four Introduction to Probability and Statistics students showed an average of 7.4 hours of sleep before the exam. At ? = 0.10, is there enough evidence that our students slept longer than the national study indicated?

a)

b)

4) Approximately 89% of teenagers in the United States own a cell phone. A random sample of 42 teenagers at Silver Spoons Academy, 95% had a cell phone. At the 1% level of significance, is there a difference?

a)

b)

Answer 1

1(A):

Here we have two independent variables so independent sample t test will be used.

(B)

Let population 1: Nebraska boys

population 2: Minnesota boys

The null hypothesis is

$H_{0}:\mu_{1}\geq \mu_{2}$

The alternative hypothesis is

$H_{a}:\mu_{1}< \mu_{2}\text{ (claim)}$

2)

(A):

Here we have two independent proportion to compare so z test for comparing proportion will be used.

(B)

Let population 1: seniors

population 2: juniors

The null hypothesis is

$H_{0}:p_{1}\leq p_{2}$

The alternative hypothesis is

$H_{a}:p_{1}> p_{2}\text{ (claim)}$

3:

(a) Here one sample t test should be used.

(b)

The null hypothesis is

$H_{0}:\mu=6.7$

The alternative hypothesis is

$H_{a}:\mu>6.7\text{ (claim)}$

4:

(a) Here one sample z test for proportion should be used.

(b)

The null hypothesis is

$H_{0}:p=0.89$

The alternative hypothesis is

$H_{a}:\mu\neq 0.89\text{ (claim)}$