Reference no: EM132155702
A random sample of 75 eighth grade? students' scores on a national mathematics assessment test has a mean score of 268. 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 260. Assume that the population standard deviation is 35. At alpha =0.11?, is there enough evidence to support the? administrator's claim? Complete parts? (a) through? (e).
?(a) Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. Choose the correct answer below.
A. Upper H 0?: mu > or =260 ?(claim) Upper H Subscript a?: mu <260
B. Upper H 0?: mu =260 Upper H Subscript a?: mu >260 ?(claim)
C. Upper H 0?: mu < 260Upper H Subscript a?: mu > or =260 (claim)
D. Upper H 0?: mu < or =260Upper H Subscript ?: mu >260 ?(claim) Your answer is correct.
E. Upper H 0?: mu < or =260 ?(claim) Upper H Subscript a?: mu >260
F. Upper H 0: mu =260 ?(claim) Upper H Subscript a?: mu >260
(b) Find the standardized test statistic? z, and its corresponding area.
z=( )
?(Round to two decimal places as? needed.)