The mean score on a science assessment for 59 male high school students was 319.5 and the standard deviation 2.5. The mean test score on the same test for 40 female high school students was 298.9 and the standard deviation was 1.2. For this assessment, the population standard deviation for males is σ = 2.3 and the population standard deviation for females is σ = 2.0. At a = 0.02 , can you support the claim that mean scores on the science assessment for male high school students were higher than for the female high school students?

Thsis value is very high and if we find the p value we would get:

So then we have enough evidence to support the claim that the true mean for males is higher than the true mean for females.

Step-by-step explanation:

Data given and notation  

represent the mean for the sample male

represent the mean for the sample female

represent the population standard deviation for the males  

represent the population standard deviation for the females  

sample size for the group male  

sample size for the group female  

z would represent the statistic (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if that mean scores on the science assessment for male high school students were higher than for the female high school students, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The staistic for this case is:

(1)

With the info given we can replace in formula (1) like this:  

Thsis value is very high and if we find the p value we would get:

So then we have enough evidence to support the claim that the true mean for males is higher than the true mean for females.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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step-by-step explanation:

mean or average is 40.6