A random sample of 84 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 thisexam is more than 260. Assume that the population standard deviation is 33. At α = 0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).(a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below.Ο A. Ho: μ < 260Ha: μ ≥260 (claim)D. Ho: μ=260 (claim)Ha: μ> 260B. Ho: μ ≥260 (claim)Ha: μ< 260E. Ho: μ≤260 (claim)Ha: μ> 260O C. Ho: μ = 260Ha: μ> 260 (claim)F. Ho: μ≤260Ha: μ> 260 (claim)

Given that Sample size n =84 Sample mean =268 Population standard deviation =33

Answered: Vrite the claim mathematically and…

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