Suppose the average amount of apples per tree in a large orchard is 600 pounds with a standard deviation of 70 pounds.

A particular fruit's weights are normally distributed, with a mean of 781 grams and a standard deviation of 38 grams. If you pick 25 fruits at random, then 9% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

According to a survey, the average base salary for women in sales is higher than the average base salary for men. The average base salary for women is $5800/month, and the average base salary for men is $5600/month. Assume monthly salaries are normally distributed with a standard deviation of $500 for both men and women. Further assume salaries are identical and independent across months. How much would a woman have to make in a year to have a higher salary than 99% of her male counterparts? Please round to an integer number.

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 198lb and a standard deviation of 42lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts​ (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 ​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 ​passengers? The maximum mean weight is 150lb. ​(Type an integer or a decimal. Do not​ round.)   b. If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean weight exceeds the value from part​ (a)?   The probability is ?

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 193 lb and a standard deviation of 36 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is- (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…

A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.

According to an automobile association, the average cost of a gallon of regular unleaded fuel at gas stations in a certain month was $2.825. Assume that the standard deviation of such costs is $0.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the month's cost per gallon of regular unleaded fuel is determined for each. Consider x, the sample mean cost per gallon. Complete part a through d. Click the icon to view the table of normal curve areas. a. Calculate P and o

Ann thinks that there is a difference in quality of life between rural and urban living. She collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 3 people from rural towns give a life expectancy of xr¯=79��¯=79 years with a standard deviation of sr=7.57��=7.57 years. A sample of 14 people from larger towns give xu¯=82��¯=82 years and su=5.48��=5.48 years. Does this provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban communities? Use a 5% level of significance. (a) State the null and alternative hypotheses: (Type ‘‘mu_r′′‘‘��_�″ for the symbol μr�� , e.g. mu_rnot=mu_u��_����=��_� for the means are not equal, mu_r>mu_u��_�>��_� for the rural mean is larger, mu_r<mu_u��_�<��_� , for the rural mean is smaller. )H0�0 =  equation editor Equation Editor Ha�� =  equation editor Equation Editor   (b) The degree of…

The heights of 5-year-old children are approximately normally distributed with average height of 100cm and standard deviation of 6cm. Using the emipiracal rule i am trying to figure out What percentage of 5-year-olds are between 90cm and 120cm?

A particular fruit's weights are normally distributed, with a mean of 442 grams and a standard deviation of 35 grams. If you pick 9 fruits at random, then 10% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.