Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.

Let $\overline{X}$ represents the sample mean GPA for each student.

Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:

$P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z$

hence, the required probability is 0.0548.

6 0

3 years ago

Number 5 please help me

Vesna [10]

Answer:

I think C or D

Step-by-step explanation:

3 0

3 years ago

Thomas drove 230 miles in 4 hours. What is the ratio of miles to hour in lowest terms? 230-4 4.230 115:2 2:115 2

alexgriva [62]

Answer:

the ratio is

miles/hour

= 230/4

= 115/2

so the ratio is 115:2

6 0

2 years ago

The 7 in 72 represents how many times the value of the 7 in 78 is what ?

earnstyle [38]

Answer:

One time

Step-by-step explanation:

In both the numbers 72 and 78, the place value of 7 is 70.

Hence, 7 in 72 represents one time the value of the 7 in 78.

7 0

3 years ago