Please show all your work A school district has assigned sev

Please show all your work

A school district has assigned several hundred “chronic and severe underachievers” to an alternative educational experience. The goal of the program is to bring the students’ GPA, absenteeism, and standardized test scores to a level on par with their peers. To assess the program, a random sample of 121 students has been selected for comparison with all students in the school system. Show all your steps in hypothesis testing.

In terms of GPA, did the program work? Is the program GPA different from the system-wide GPA?

System-wide GPA

Program GPA

µ = 2.47

X = 2.55
s = 0.60

In terms of absenteeism (number of days of school missed per year), was the program a success? Is the program absenteeism less than the system-wide absenteeism?

System-wide Absenteeism

Program Absenteeism

µ = 6.14

X = 4.78
s = 1.05

Solution

H0: mu = 2.47

Ha:mu not equals 2.47

Two tailed test.

n =121

As n >30, z test can be used

std error = s/rt 121 = 0.6/11 =0.0545

Difference = 2.55 -2.47=0.08

z statistic = 1.47

p value =0.141562.

The result is not significant at p < 0.05.

There is no statistical evidence to claim that the program GPA different from the system-wide GPA

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H0: mu = 6.14

Ha: mu <6.14

Left tailed test

mu diff = -1.38

std error = 1.05/11 = 0.0955

Z stat = -14.45

The P-Value is < 0.00001.

The result is significant at p < 0.05.

There is statistical evidence to claim that the program absenteeism is less than the system-wide absenteeism