on a nal mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 32. At a= 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: H= 275 (claim) Ha: p> 275 O B. Ho: H2275 (claim) OC. Ho: us275 (claim) Ha: u> 275 %3D Ha: u<275 O D. Ho: u= 275 O E. Ho: Hs275 O F. Ho: H< 275 Ha: H> 275 (claim) Ha: >275 (claim) Ha: 2 275 (claim)

A nationwide test taken by high school sophomores and juniors has 3 sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 48.7, with a standard deviation of 10.6. Based on the information, complete the following statements about the distribution of the scores on the writing section for the recent year.

Animals of a given weight are operated on in a veterinary hospital. The dose of anesthetic A (in mg) required to render animals suitably unconscious for the operation is normally distributed with mean 120 and standard deviation 20. The lethal dose L (in mg) of the same anesthetic for these animals is also normally distributed, with mean 350 and standard deviation 50. (Help on part a and b) a.  Find a dose "D" that the vet should administer, in order that 99.9% of animals will be suitably unconscious for the operation. b.  If the dose "D" that you found in part a is administered, what percentage of animals die?

A group of adult males has foot lengths with a mean of 26.63 cm and a standard deviation of 1.32 cm. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 29.8 cm significantly low or significantly​ high? Explain. Significantly low values are nothing cm or lower. ​(Type an integer or a decimal. Do not​ round.) Significantly high values are nothing cm or higher. ​(Type an integer or a decimal. Do not​ round.) Select the correct choice below and fill in the answer​ box(es) to complete your choice.   A. The adult male foot length of 29.8 cm is not significant because it is between nothing cm and nothing cm. ​(Type integers or decimals. Do not​ round.)   B. The adult male foot length of 29.8 cm is significantly low because it is less than nothing cm. ​(Type an integer or a decimal. Do not​ round.)   C. The adult male foot length of 29.8 cm is significantly high because it is…