A university conducts English tests using the same problems for about 10,000 first-year students every year. Past test s

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A university conducts English tests using the same problems for about 10,000 first-year students every year. Past test s

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A University Conducts English Tests Using The Same Problems For About 10 000 First Year Students Every Year Past Test S 1
A University Conducts English Tests Using The Same Problems For About 10 000 First Year Students Every Year Past Test S 1 (38.75 KiB) Viewed 27 times
A university conducts English tests using the same problems for about 10,000 first-year students every year. Past test scores are approximated by a normal distribution with mean 500 and standard deviation 50. However, the hypothesis has arisen that students' English level is rising and that the average is higher than 500. Then, we decided to conduct a hypothesis test with a significance level of 5% by extracting the scores of the English tests of 20 first-year students by random sampling. Answer the following questions. In this hypothesis test, find the probability of committing type 1 error. Round the answer to the two decimal place such as 0.12. 答 If the score of the first-year students' English test follows a normal distribution N(530,50), what is the probability of committing the type 2 error? Round the answer to the second decimal place such as 0.12. 答 The average of the scores of 20 students was 521.2. Find the p-value. Round the answer to the third decimal place. 答:
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