If only the upper 30% of a normally distributed class passed a quiz for which the mean was 70 and the standard deviation was 10, what was the lowest score a student could have recieved and still have passed?

Mariah and Amanda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Mariah took a test in English and earned a 81, and Amanda took a test in Art History and earned a 61.8. Use the fact that all the students' test grades in the English class had a mean of 75.7 and a standard deviation of 9, and all the students' test grades in Art History had a mean of 60.7 and a standard deviation of 10.3 to answer the following questions.a) Calculate the z-score for Mariah's test grade.z=b) Calculate the z-score for Amanda's test grade.z=c) Which person did relatively better? Mariah Amanda They did equally well.

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 49, and the standard deviation is 20.7. The teacher now wants to identify those students who may need extra help. She decides to look at students who have z-scores below z = -2.00 Identify the test score corresponding to a z-score of below z = -2.00. Round to the nearest whole number.

Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The SAT scores are normally distributed with a mean of 1100 and standard deviation of 250. The ACT scores are normally distributed with a mean of about 20 and standard deviation of 5. Who did better, relative to their peers?

1. Solve the following by the parallel method of resource allocation. The resource limits are as follows: 5M and 2H. D 1 J 1 A 1 2M, 1H B 4 2M, 1H с 1 2M, 1H 1M E 2 3M F 2 3M G 3 1M, 2H H 2 1M, 1H 2M, 1H K 1 2M, 1H L 2 3M, 1H M 1 2M, 1H

Russell is doing some research before buying his first house. He is looking at two different areas of the city, and he wants to know if there is a significant difference between the mean prices of homes in the two areas. For the 39 homes he samples in the first area, the mean home price is $⁢176,400. Public records indicate that home prices in the first area have a population standard deviation of $⁢32,930. For the 32 homes he samples in the second area, the mean home price is $⁢181,500. Again, public records show that home prices in the second area have a population standard deviation of $⁢23,835. Let Population 1 be homes in the first area and Population 2 be homes in the second area. Construct a 95% confidence interval for the true difference between the mean home prices in the two areas. Round the endpoints of the interval to the nearest whole number, if necessary. Lowest Endpoint =  upper Endpoint=

Aaliyah and Lloyd began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Aaliyah took a test in Social Studies and earned a 79.8, and Lloyd took a test in Science and earned a 68.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 74.1 and a standard deviation of 9.6, and all the students' test grades in Science had a mean of 60.9 and a standard deviation of 8.6 to answer the following questions. a) Calculate the z-score for Aaliyah's test grade. 2 = [Round your answer to two decimal places.] b) Calculate the z-score for Lloyd's test grade. 2 = [Round your answer to two decimal places.] c) Which person did relatively better? O Aaliyah O Lloyd O They did equally well.

The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.05 Juan 1.51 Haley −1.95 Joel 0.00 Jan −0.67 Linda 1.57 (a) If the mean score was ? = 151 with standard deviation ? = 16, what was the final exam score for each student?

John finds that there is a scholarship available to all persons scoring in the top 5 % on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship?

Rachael and Autumn began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Rachael took a test in English and earned a 81.8, and Autumn took a test in Math and earned a 63.6. Use the fact that all the students' test grades in the English class had a mean of 71.3 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 60.2 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Rachael's test grade.z=z=   b) Calculate the z-score for Autumn's test grade.z=z=   c) Which person did relatively better? RachaelAutumnThey did equally well.