Question

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with ? = 512. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 517 with a standard deviation of 116. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let ? be the mean score. Choose the correct answer below. A. H0: ? = 512, H1: ? ? 512 B. H0: ? > 512, H1: ? ? 512 C. H0: ? < 512, H1: ? > 512 D. H0: ? = 512, H1: ? > 512 (b) Test the hypothesis at the ? = 0.10 level of significance. Is a mean math score of 517 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach. Find the test statistic. t0 = 1.93 (Round to two decimal places as needed.) Find the P-value. The P-value is [ ]. (Round to three decimal places as needed.)

          A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with ? = 512. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 517 with a standard deviation of 116. Complete parts (a) through (d) below.

(a) State the null and alternative hypotheses. Let ? be the mean score. Choose the correct answer below.

A. H0: ? = 512, H1: ? ? 512
B. H0: ? > 512, H1: ? ? 512
C. H0: ? < 512, H1: ? > 512
D. H0: ? = 512, H1: ? > 512

(b) Test the hypothesis at the ? = 0.10 level of significance. Is a mean math score of 517 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach.

Find the test statistic.
t0 = 1.93
(Round to two decimal places as needed.)

Find the P-value.
The P-value is [ ].
(Round to three decimal places as needed.)

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with ? = 512. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 517 with a standard deviation of 116. Complete parts (a) through (d) below.

(a) State the null and alternative hypotheses. Let ? be the mean score. Choose the correct answer below.

A. H0: ? = 512, H1: ? ? 512
B. H0: ? > 512, H1: ? ? 512
C. H0: ? < 512, H1: ? > 512
D. H0: ? = 512, H1: ? > 512

(b) Test the hypothesis at the ? = 0.10 level of significance. Is a mean math score of 517 statistically significantly higher than 512? Conduct a hypothesis test using the P-value approach.

Find the test statistic.
t0 = 1.93
(Round to two decimal places as needed.)

Find the P-value.
The P-value is [ ].
(Round to three decimal places as needed.)

Added by Tanya K.

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