A random sample of 8080 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 265265. 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 260260. Assume that the population standard deviation is 3030. At alphaαequals=0.140.14​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e). Back

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A random sample of
8080
eighth grade​ students' scores on a national mathematics assessment test has a mean score of
265265.
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
260260.
Assume that the population standard deviation is
3030.
At
alphaαequals=0.140.14​,
is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e).
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