et χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 4. What is the standard deviation of χ2?
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Let χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 4. What is the standard deviation of χ2?
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- The percent of fat calories that a person consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. a. (a) Give the distribution of X (Round your standard deviation to two decimal places.) b.(b) For the group of 16, find the probability that the average percent of fat calories consumed is more than five. (Round your answer to four decimal places.) c .Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat caloriesSuppose that the weights of all packages of corn flour are normally distributed with a mean of 1000 grams and a standard deviation of 20 grams. Find the probability that a randomly selected package will have weight between 970.6 grams and 1022.6 grams. (i) (ii) 2.5% of the packages are more than k grams. Find the value of k. A random sample of 25 packages is selected. Let X be the sample mean weight. (iii) Find the sampling distribution of X. (iv) Find the probability that the mean weight will be more than 993 grams.According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.25 °F and a standard deviation of 0.67°F. Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 2 standard deviations of the mean? What are the minimum and maximum possible body temperatures that are within 2 standard deviations of the mean? ... At least of healthy adults have body temperatures within 2 standard deviations of 98.25°F. (Round to the nearest percent as needed.)
- REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adultst. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n, = 8 children (9 years old) showed that they had an average REM sleep time of x, = 2.9 hours per night. From previous studies, it is known that o, = 0.6 hour. Another random sample of n, = 8 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that o, = 0.7 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H1 = H2i HiitHy> H2 O Ho: H,The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 69 minutes and a standard deviation of 18 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.Find the probability that a randomly selected person at the hot springs stays longer then 59 minutes. Incorrect The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? Incorrect minutes. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: Incorrect minutesQ3: Incorrect minutesIQR: Incorrect minutesFind probability that cholesterol level is mostly 250 Round to hundredthsFind the 40-th percentile for a normal random variable X ~ N(p = 55.9, σ = 7.4). The 40-th percentile for X is (Round the answer to 2 decimal places)The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X ~ N( 2 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 12.1. c. Find the 60th percentile for this distribution. %The average THC content of marijuana sold on the street is 10.6%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 11.8. c. Find the 70th percentile for this distribution. %Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic speed using premium fuel is a normally distributed random variable with a mean of u= 26.75mpg and a standard deviation of o=3.50 mpg. a. What is the standard error of X, the mean from a random sample of 36 full ups by one driver?(Round your answer to 4 decimal places. ) Standard error of X= b. Within what interval would you expect the sample mean to fall, with 99 percent probability? (Round your answers to 4 decimal places.). the interval is from _____to ____The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stair climber for (a) less than 21 minutes, (b) between 24 and 32 minutes (c) more than 40 minutes. SEE MORE QUESTIONS
