Question

4. Use the following situation to answer the question: Test Scores An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills." The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. Is this sample result good evidence that the mean of all students in this town is less than 2617 The P-value suggests that the mean score for all students is above the state level, and it is very convincing evidence. The Puvalue suggests that the mean score for all students is below the state level, and it is very convincing evidence The value suggests that the mean score for all students is above the state level, but it is not very cowicing evidence The P value suggests that the mean score for all students is below the state level, but it is not very convincing evidence s. Use the following situation to answer the question: Test Scores An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines. The students in this town don't have the necessary skills. The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. What is the null hypothesis (Ho)? O Moru 261 OH > 261 O HOT 261 O None of the choices are correct 6. Use the following situation to answer the question Test Scores An article in a local town newspaper discusses the results of state test scores in the town. The reporter headines. The students in this town don't have the necessary skills." The state test says that a score of 261 or higher its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and Start: 11:44 PM

Answer 1

Now Owl test Statistic Ps w t = n-u sin. (n-1) degree of freedom. where 17 ten n in I 3 (xi -a)? n 12 sample size

we have 10 - 200 n = 257 - 40

Null QO pothesis Hyp Score Students Mean que average of aree than 261 grealen ies, u > 261 A Hernative Score Hypothesis : Mean average of C 261 than Students core lees lie's u <261

unden Ho Now test statistici using t = t-u slun shares t 257 - 261 u 18200 fatto t -4 41/14.14 + cu 9.90 t = 1.38

t. 1.38 from the data prouided. test statistic ficance 199 0.05 level free dom. of significance of Student's t distribution table , By using have 0.0846 p-value so we 0.05 Now Since Oui p-value 0.05 Null rypo at thesis not reject our conclude and that level of significance mean Swore for all student is above Stale level

Evidence. and it is very convincing