Assume that the readings at freezing on a bundle 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. If 4.8% of the thermometers are rejected because they have readings that are too high and another 4.8% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings =_____________  °C

Suppose a researcher wants to test if the average diastolic blood pressure in Irish-Americans is different than the average diastolic blood pressure in the general population. Note that the average diastolic blood pressure in the general population is 70 mmHG. The researcher recruits 30 Irish-Americans into this particular study and then measures each of their diastolic blood pressures (mmHG). The population of this sample has a standard deviation equal to 3.0. What is the two-sided alternative hypothesis? (in words) Group of answer choices The mean is different than 70 The mean is different than 73 The mean is greater than 70 The mean is greater than 73

Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.

a distribution with a mean of u=41 and a standard deviation of 4 is transformed into a standardized distribution with a mean of u=100 and a standardized deviation =20, find the new standardized score for each of the following values from the original population, x=39, x=36, x=45, x=50

O C. The baby born in week 41 weighs relatively less since its z-score, is larger than the z-score of for the baby born in week 32. O D. The baby born in week 32 weighs relatively less since its z-score, is smaller than the z-score of for the baby born in week 41.

The body temperatures of a group of healthy adults have a​bell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical​ rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°​F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°​F?

The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 70 pounds. The Español company believes that, due to an improvement in the manufacturing process, the mean breaking strength, µ, of the cables is now greater than 1775 pounds. To see if this is the case, 16 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1806 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. 00 Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H,…

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.33°F and a standard deviation of 0.52°F. Using the empirical rule, find each approximate percentage below a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.77F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.29°F and 99.37°F? a. Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.77°F and 99.89°F. (Type an integer or a decimal. Do not round.)

Babies born weighing 2500 grams (about 5.5 pounds) or less are called low-birth-weight babies, and this condition sometimes indicates health problems for the infant. The mean birth weight for children born in a certain country is about 3479 grams (about 7.7 pounds). The mean birth weight for babies born one month early is 2652 grams. Suppose both standard deviations are 460 grams. Also assume that the distribution of birth weights is roughly unimodal and symmetric. Complete parts a through c below. a. Find the standardized score (z-score), relative to all births in the country, for a baby with a birth weight of 2500 grams. (Round to two decimal places as needed.) b. Find the standardized score for a birth weight of 2500 grams for a child born one month early, using 2652 as the mean. (Round to two decimal places as needed.) c. For which group is a birth weight of 2500 grams more common? Explain what that implies. Unusual z-scores are far from 0. Choose the correct answer below. O A. A…

The circumference of a particular species of tree was thought to be different depending on certain geographical factors. An SRS of 60 trees is selected in Sequoyah National Forest, where it is found that = 6 meters with a standard deviation = 3 meters. A second SRS of size 40 is independently selected in Yellowstone National Forest, and it is found that = 4 meters with a standard deviation = 2 meters. Let μ1 and μ2 represent, respectively, the true mean circumferences of this particular species of tree. Assume the standard deviations of the two populations are equal. A 95% confidence interval for μ1 – μ2 is