In a city, it is estimated that the maximum temperature in June is normally distributed with a mean of 28º and a standard deviation of 5.4°. Calculate the number of days in this month in which it is expected to reach a maximum of between 22° and 31°.
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: Normal Distribution:The Normal Distribution is defined by the probability density function for a…
Q: The daily distance that a rental boat is driven is found to be approximately normally distributed…
A: Answer:- Given, The daily distance that a rental boat is driven is found to be approximately…
Q: ssume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.157…
A: Given that μ=1.157 & σ=0.532
Q: Use the given information to find the minimum sample size required to estimate an unknown population…
A: Solution
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A:
Q: The average birth weight of domestic cats is about 3 ounces. Assume that the distribution of birth…
A: a. Let x be the birth weight of cats which follows normal distribution with mean 3 ounces and…
Q: 1. A line was measure with a steel tape as follows: Trial 1 2 3 4 5 Solve for: a. Most probable…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subpartsfor…
Q: In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard…
A: Null hypothesis: Null hypothesis is the statement about parameter of population. Alternative…
Q: Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u= 54.8…
A: As per our guidelines, we are allowed to answer up-to three sub-parts of any question. Here part(a)…
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: answer is given below
Q: Solve for: Standard Deviation
A: The data set is: 25 64 15 42 64 30 30 12 45 63 45 25 70 48 82 16…
Q: A patient has a body temperature of 99.90° F. In general, human body temperatures have a mean of…
A: Given The data is as follows: Patient body temperature, X=99.90∘F Population mean, μ=98.20∘F…
Q: A ski gondola caries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: a. Consider a random variable x, that defines the weights of skiers.
Q: The distribution of SAT scores is normally distributed with a μ = 500 and a σ = 100. a, What…
A: Let X be a continuous random variable of the distribution of SAT scores is normally distributed…
Q: The angle of friction of a soil has a mean value of 35° and a standard deviation of 5°. Determine…
A:
Q: A water taxi carries passengers from harbor to another. Assume that weights of passengers are…
A:
Q: 2) The table below provides the masses of students. Frequency 10 Mass (kg) Midpoint 40-50 50 - 60 12…
A:
Q: 1. A line was measure with a steel tape as follows: Trial Measurement 1 571.193 2 571.190 3 571.185…
A: As per the guidelines we are allowed to solve maximum of 3 subparts. Please repost the question if…
Q: the margin of error in estimating the population mean, μ. A sample of 76 college students yields a…
A: As the population standard deviation is known, we will use the z test. The value of z at 95%…
Q: Determine the margin of error in estimating the population mean, μ . A sample of 90 college…
A: given data n = 90σ = 888x¯ = 322992% ci, E = ?
Q: A water taxi carries passengers from harbor to another. Assume that weights of passengers are…
A: Given:μ = 186 lbσ = 36 lbn = 25water taxi load limit = 3500 lba. Given the water taxi load limit =…
Q: A water taxi carries passengers from harbor to another. Assume that weights of passengers are…
A: Step 1:(a) The maximum mean weight of the passengers if the water taxi is filled to the stated…
Q: 4. Shade the area of the curve that is within each boundary named. Within 1 standard deviation.…
A: The normal curves are given.
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: Hello! Thankyou for the question. According to our honor code can answer only three sub parts at a…
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: μ=190 lbσ=44 lbn=25The maximum road limit = 3500 lb
Q: both sets of values have an average of 13. is Set a's standards deviation smaller, larger, or about…
A: Standard deviation: The standard deviation is based on how much each observation deviates from a…
Q: Find the p-value. p= (Round to three decimal places as needed.)
A: The test statistic is, t=x¯-μsn=52.5-53.62.615=-1.6386≈-1.64 The test statistic is -1.6386. The…
Q: The mean weight of apples is 27 kg and the standard deviation is 1.8 kg. Assuming that the weight is…
A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…
Q: jenny is calculating the standard deviation for a set of data. if she wants an unbiased estimate of…
A: Here, she is calculating standard deviation for a data set. Unbiased means ( neither overestimate…
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: Given information Population mean µ = 183 lb Sample size = 25 Standard deviation σ = 35 lb We have…
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: Note: "Since you have posted a question with multiple sub-parts, we will solve the first three…
Q: 217 Calculate standard deviation for the following distribution : 10 20 30 40 50 60 70 Values : 1 12…
A:
Q: The mean weight of apples is 10 kg and the standard deviation is 2 normally distributed, determine…
A: mean = 10 standard deviation = 2.6
Q: a. Given that the gondola is rated for a load limit of 3750 Ib, what is the maximum mean weight of…
A: a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum weight of the…
Q: A water taxi carries passengers from harbor to another. Assume that weights of passengers are…
A: Approach to solving the question:Rational Detailed explanation:1. Total Load Limit:Load limit of the…
Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…
A: Given that Mean = 196 ,s.d = 42 Maximum mean weight = ?
Q: An economist claims that the population standard deviation of the monthly income of all the families…
A: Population is a pool of individuals from which a sample is drawn for a study.
Q: The number of milliseconds required for a light beam to go from A to B is given below. Find the…
A: Given data is70,70,70,71,71,72,73,68,69,69,69
Q: Illustration 10.21. The values of the arithmetic mean and the standard deviation of the following…
A:
Q: A water taxi carries passengers from harbor to another. Assume that weights of passengers are…
A: It is given that the water taxi has a stated capacity of 25 passengers and the water taxi was rated…
Q: does it get Valley? Assume that the following data are taken from a study conducted by the National…
A:
Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…
A: To solve this problem, we need to find the z-scores that separate the lowest 6% and the highest 6%…
Q: Everest auto industry produces bearing for Mahindra Motor Corporation. The precision of radius of…
A: Hey there! Thank you for posting the question. Since you have posted a question with multiple…
1. In a city, it is estimated that the maximum temperature in June is
2. The mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. Assuming that the weight is normally distributed, determine how many students weigh:
a. Between 60 kg and 70 kg.
b. More than 68 kg.
3. Several intelligence tests follow a normal distribution with a mean of 100 and a standard deviation of 15.
a. Determine the percentage of the population that would obtain a score between 95 and 110.
b. For a population of 2,500, how many are expected to have a score above 125?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
- In a Q system, the demand rate for strawberry ice cream is normally distributed, with an average of 295 pints per week. The lead time is 6 weeks. The standard deviation of weekly demand is 16 pints. Refer to the standard normal table for z-values. a. The standard deviation of demand during the 6-week lead time is 39 pints. (Enter your response rounded to the nearest whole number.) b. The average demand during the 6-week lead time is 1770 pints. (Enter your response as an integer.) c. The reorder point that results in a cycle-service level of 96 percent is pints. (Enter your response rounded to the nearest whole number.)A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 41 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit 3750 . Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 Ib, 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 Ib (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.) filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola…Students at TAMUCT pay on average $5,200 per semester for tuition with a standar deviation of $120. In a group of 1,000 students, how many would we expect to pay more than $5,500 per semester?
- A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 180 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 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 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 140 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.)A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi 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 water taxi is filled with 25 randomly selected passengers, 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 water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight…
- A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. 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 Ib. (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…1. The test contains four questions, and there are five different answers to each of them, of which only one is correct, the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answer? (PERCENTAGE FORMAT) 2. At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the university is a male in the business faculty? b. What is the probability that a student selected at random in the university is male or is in the business faculty? c. What percentage of males are in the business faculty? (PERCENTAGE FORMAT)A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, 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______ 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____ 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 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
- In how many ways can we pass out 5 pieces of identical candy to 11 children assuming each child gets at most one piece? Enter your answer in the box below. Answer =A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 lb and a standard deviation of 38 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 Ib, 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 Ib. (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 175 lb, which is the…A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 150 lb. (Type an integer or a decimal. Do not round.) ... b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1 (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their…