A random sample of 82 eighth grade students\' scores on a national mathematics a

Question

A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 39. At a = 0.13, is here enough evidence to support the administrators claim? Complete parts (a)through (e). Write the claim mathematically and identify H_0 and H_a. Choose the correct answer below. H_0: mu 285 H_0: mu greater than are equal to 285 H_a: mu > 285 (claim) H_0: mu = 285 H_a: mu > 285 (claim) H_0: mu less than are equal to 285 (claim) H_a: mu > 285 H_0: mu less than are equal to 285 (claim) H_a: mu

Explanation / Answer

here for null and alternate hypothesis: option D is correct

std error of mean =std deviation/(n)1/2 =4.3068

hence test stat z=(X-mean)/std error =(293-285)/4.3068 =1.8575

p value =0.0316

as p value is less then 0.13 we reject null hypothesis and conclude that mean score is greater then 285

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