A random sample of 60 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is = 52. Assume the standard deviation of test scores is σ = 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second graders in her school district have greater math skills than the
nationwide average.
a) State the appropriate null and alternate hypotheses. b) Compute the P-Value.

a) Null hypothesis:  

Alternative hypothesis:  

b)    

Step-by-step explanation:

Information suministred

represent the sample mean score for the econd graders

represent the population standard deviation

sample size  

represent the value that we want to test

z would represent the statistic

represent the p value for the test (variable of interest)  

Part a: System of hypothesis

We want to check if the second graders in her school district have greater math skills than the  nationwide average, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

Part b

The statistic is given by:

 (1)  

Replacing into the formula we got:

We have a right tailed test then the p value would be:  

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following