find the margin of error at a 95% confidence level. Round the answer to two decimal places.
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- Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P42, the 42-percentile. This is the temperature reading separating the bottom 42% from the top 58%. P42 = °C
- Assume the data set described is normally distributed with the given mean and standard deviation, and with n total values. Find the approximate number of data values that will fall in the given range. Mean-8 Standard deviation-1.5 n-45 Range: 6.5 to 9.5 In this case, we expect about 52 data values to fall between 6.5 and 9.5.A distribution of values is normal with a mean of 38.3 and a standard deviation of 84.2.Find P98, which is the score separating the bottom 98% from the top 2%.P98 =A statistician wants to determine if there is a significant difference in the average height of male and female college students. He collects a random sample of 100 males and 100 females and calculates their heights (in cm). The sample mean height for males is 175 cm and the sample mean height for females is 165 cm. The sample standard deviation for males is 6 cm and the sample standard deviation for females is 5 cm. Conduct an independent samples t-test to determine if there is a significant difference in the average height between males and females at a significance level of 0.05.
- Let the physics exam scores X follow a normal distribution with mean 80 and standard deviation 10. What score the student should get to be from the better of 10%of studentsAssume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)
- A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1506 and the standard deviation was 317. The test scores of four students selected at random are 1940, 1230, 2190, and 1400. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.)
