Assume that readings on thermometers are normally distributed with a mean of 0 and a standard deviation of 1. A thermometer is selected at random. Find the probability that the reading is greater than 1.98

Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.

On a standardized exam, the scores are normally distributed with a mean of 350 and a standard deviation of 20. Find the z-score of a person who scored 400 on the exam.

Assume that a normal distribution of data has a mean of 24 and a standard deviation of 5.Use the empirical rule to find the percentage of values that lie below 9.

One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV,. Assume the mean FEV, for 10-year-old boys is 2.1 liters that the population standard deviation is o =0.2. A random sample of 53 10-year-old boys live in a community with high levels of ozone pollution are found to have a sample mean FEV, of 2.09 liters. Can you conclude that the mean FEV, in the high-pollution community differs from 2.1 liters? (A) Yes (B) No

With a mean of 10 and standard deviation of 5. Assume that the population data are normally distributed.  Calculate the z-score for a raw score of 5. What proportion of the distribution is equal to or less than this score?

The standard deviation of pulse rates of adult males is less than 10  bpm. For a random sample of 144 adult​ males, the pulse rates have a standard deviation of  9.1 bpm. Find the value of the test statistic.

It takes an average of 14.5 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 70 injured patients to immediately tell the truth about the injury and noticed that they averaged 16.3 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.75 minutes. What can be concluded at the the α = 0.10 level of significance? a. For this study, we should use [Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly greater than 14.5 at a = 0.10, so…

Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches.  A particular man is 80 inches tall.  Find the z-score of his height.  (Round to two decimal places.)

(d) What is the probability that a random sample of 40 pregnancies has a mean gestation period of 260 days or less? The probability that the mean of a random sample of 40 pregnancies is less than 260 days is approximately (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size n= 40 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 260 days or less. B. If 100 independent random samples of size n = 40 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 260 days. C. If 100 independent random samples of size n = 40 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 260 days or more. (e) What might you conclude if a random sample of 40 pregnancies resulted in a…