Question

Please help answer C & D

A college entrance exam company determined that a score of 23 on the mathematics portion of the suggests that sudents ready for college level mathematics. To achieve this goal, the company recommends that students take a core Guntum of mathur in high school Suppose d om of 200 students who completed this one of our results in a mean mat sore of 23.3 on the college entrance exam with a standard deviation of 3.2. Do the suggest that students who complete the core Gurulum w ady for college level mathematics? That is, are they woring above 23 on the math portion of the exam Complete parts a) through d below A The sample size is larger than 30 B. The students were randomly sampled C. The students scores were independent of one another D. None of the requirements are satisfied c) Use the value approach the 0.05 level of significant at the hypotheses in para -0.80 Round to two decimal places as needed) Identify the value P. (Round to the decimal places needed) di conduwon bad on the Choose the corner below the nut hypothesis and claim that there sufficient evidence to conclude that the population means than 23

Answer 1

given data are,

sample mean ($\bar{x}$) = 23.3

sample sd (s) = 3.2

sample size (n) = 200

degrees of freedom = (n-1) = (200-1) = 199

hypothesis:-

$H_{0}:\mu=23$

$H_{1}:\mu>23$

assumptions:-

1).the sample size is larger than 30.

2).the students were randomly sampled.

3).the students test score are independent of one another.

test statistic be:-

$t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=\frac{23.3-23}{3.2/\sqrt{200}}=1.33$

p value = 0.093

[ using calculator, for t = 1.33 ,df = 199 , right tailed test ]

decision:-

p value = 0.093 > 0.05

so, we fail to reject the null hypothesis.

we conclude that,

fail to reject the null hypothesis and claim that there is not sufficient evidence to conclude that the population mean is greater than 23.

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