An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 Ib and 191 Ib. The new population of pilots has normally distributed weights with a mean of 158 lb and a standard deviation of 25.2 Ib. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 150 Ib and 191 lb. The probability is approximately. (Round to four decimal places as needed.)

According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e). Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is µ, kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o, = kg. (Round to four decimal places as needed.) Interpret these answers in context. For the brain weights have a normal distribution with a mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is µ;…

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.7, 1.8, 1, 0.6, 3, 0.9, 0.9, 1, 3.2, 1.5, 0.1, 0.1, 3.2 What can be concluded at the αα = 0.10 level of significance?    The test statistic     =  ___________ (please show your answer to 3 decimal places.) The p-value =  ____________ (Please show your answer to 4 decimal places.)

According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of u = 17.44 mm and a standard deviation of a = 1.72 mm. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is 12.27 %. (Type an integer or decimal rounded to two decimal places as needed.) correct: 1 b. Find the percentage of the tarantulas that have a carapace length exceeding 18 mm. The percentage of the tarantulas that have a carapace length exceeding 18 is%. (Type an integer or decimal rounded to two decimal places as needed.) E S D R F T ^ 6 G Y & 7 H U * 8 J DI FB 1 ( 9 K DD F9 0 0 L F10 P : + 11 = 11