Suppose that the body lengths of adult male crested porcupines in a certain region in Italy are approximately normally distributed with a mean of 73.1 cm and a standard deviation of 5.8 cm. (these values are based on a study by Mori et al.(2014) if an adult male crested porcupine is randomly selected from this region, what is the probability that its body length lies between 70 and 75 cm?

Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women

Assuming cholestorol data indicated a mean total cholesterol level for adult persons 20 years of age and older in the United States was 190 mg/dl; with a known standard deviation of 30 mg/dl. Use a known standard deviation of 30 mg/dl and the underlying population is normally distributed. What is the probability that a randomly selected adult, ≥ 20 years of age will have a cholesterol level < 180 mg/dl?

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,…

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 137 lb and a standard deviation of 34.8 lb. if 35 different pilot are randomly selected find the probability that their mean weight is between 130 lb and 181 lb

A report on egg consumption shows that people living in China eat an average of 196 eggs each year with a standard deviation of 18.3 eggs.  If a group of 81 Chinese people are selected at random, what is the probability that the average egg consumption of this group will be more than 200 eggs?

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 6 days.  80% of all trials of this type are completed within how many days?

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 13 blue crabs from Location A contain a mean of 191 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 8 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of 44 milligrams. At a = 0.10, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below. t= 0.110 (Round to three decimal places as needed.) (c) Calculate the P-value. P=|| (Round to four decimal places as needed.)

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 197.2-cm and a standard deviation of 1.6-cm. For shipment, 21 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 196.7-cm and 197.7-cm