Suppose 100 independent random x values are each distributed N(1,9) – normal distribution with a mean f 1 and a variance of 9. Compute: a. the proportion of the 100 random variables that are expected to be between -3.94 and 5.94. b. the proportion of the 100 random variables that are expected to be greater than 6.88. c. the probability the mean of the 100 variables will be between 0.51 and 1.49. d. the probability the mean of the 100 variables will be greater than 1.59.
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A:
Q: f the necks of giraffes follow a Normal distribution with mean = 1.8 meters and standard deviation =…
A: Given Normal distribution with mean u = 1.8 meters standard deviation sigma = 0.2 meters.
Q: Let x be a random variable representing the length of trout in a lake. A friend claims that the…
A: We have given that, Sample mean length (x̄) = 19.4 and sample standard deviation (s) = 3.8 and…
Q: Suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and…
A: Sample size, Variance, Sample mean, The posterior distribution: Posterior mean, Posterior variance,…
Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7.…
A:
Q: Assume the random variable X is normally distributed, with mean u=57 and standard deviation o = 7.…
A: The random variable X is normally distributed The population mean is 57. The population standard…
Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…
A: Given, Let X= 4.9, 4.2, 4.5, 4.1, 4.4, 4.3
Q: A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual…
A: We have given that mu=28.8 ,sigma=6 and sample size n =64 Z-socre=(x-mu)/sigma
Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…
Q: A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual…
A: We have given that Sample size n=64 ,mu=28.8 and sigma=6
Q: Let x be a ramdom variable that represents the temperatures, in degrees Farenheit, of an adult. Then…
A:
Q: f scores are normally distributed with a mean of zero (SD = 1) – note that this is a normal…
A: Hi there! Thanks for the question. Since there are multiple questions, we have solved the first…
Q: etx be a random variable representing dividend yield of bank stocks. We may assume that x has a…
A: The following information has been provided: μ=5.0 n=10x¯=5.38 σ=1.9
Q: Suppose the random variable xx has a normal distribution with μ=300μ=300 and σ=30σ=30. Find the…
A: Given: μ=300, σ=30.
Q: Let X be a random variable with a normal distribution with a mean of 100 and a standard deviation of…
A: We have given that Mean(µ) = 100Standard deviations (σ) = 20X ~ N (µ, σ )= N(100, 20)
Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…
A: Disclaimer "Since you have posted a question with multiple sub-parts, we will solve first three…
Q: About 75% of all female heart transplant patients will survive for at least 3 years. Sixty female…
A: The population proportion, p=0.75 and sample proportion, p^=0.75. The sample of 60 female patients…
Q: Let the random variable X is normal with mean zero and unit variance . Find the values of A and B…
A: Let the random variable X is normal with mean zero and unit variance. Given condition is P(A< X…
Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…
A: Answer Given The population mean= 4.78This is left-tailed test.
Q: A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual…
A: From the provided information, Mean (µ) = 28.8 minutes Standard deviation (σ) = 6 minutes Sample…
Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…
A: Hypothesis testing is conducted for the parameters of the population like population mean,…
Q: (HC) adult standard deviation. A random sample of ten healthy adult females was taken with the…
A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…
Q: Assume that the amounts of weight that male college students gain during their freshman year are…
A: a mean of μ=1.1 kg and a standard deviation of σ=4.5 kg.If 9 male college students are randomly…
Q: Suppose we are given a sample of 60 observations from a distribution whose mean is O and variance is…
A: The mean is 0 and the variance is 3/5.
Q: The number of tourists arriving in a certain tourist destination is assumed to follow a Poisson…
A: Givendaily mean rate of 500 λ=500x~Poisson(λ=500)P(X=x)=e-λ×λxx! ; x≥0
Q: The GPAs of all 5540 students enrolled at a university have an approximately normal distribution…
A: The sampling distribution is the representation of all possible samples drawn from the large…
Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…
A: (i) Use TI-83 plus Calculator to obtain the values of sample mean and the standard deviation.…
Q: 6. Use R: Suppose the yearly income of people in Minnesota is normally distributed with mean 45700…
A: The given mean is 45700 and standard deviation is 2830.
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A: The random variable X follows binomial distribution. The population mean is 105. The population…
Q: Suppose that the weights of all packages of corn flour are normally distributed with a mean of 1000…
A:
Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…
A: Assume that the random variable X defines the weight of healthy adult female deer.According to the…
Q: Let X be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…
A:
Q: normal distribution has a mean of u= 28 and o= 4. If one score is randomly selected from the…
A: Given that A normal distribution has a mean of u= 28 and o= 4. By using standard normal…
Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.1 and a standard…
A:
Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…
A: Given Information: Mean (u) = 62 kg Standard Deviation (s) = 9 kg Sample size (n) = 70 Sample…
Q: The random variable x has a normal distribution with u = 200 and o = 20. a. Find the probability…
A:
Q: Assume x is a normally distributed random variable with mean = 50 and variance = 3. Find the value…
A:
Q: Determine the probability mass function of the number of cracks (X) in 5 miles of highway. 2.…
A: It is given that Number of cracks per mile = 2, then Number of cracks per 5 miles = 2 × 5 = 10
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
- Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with s.d.= 2.3% . A random sample of 12 Australian bank stocks has a sample mean of x=6.16% . For the entire Australian stock market, the mean dividend yield is 7.2%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 7.2%? Find (or estimate) the P-value. Round your answer to three decimal places.Assume the random variable X is normally distributed, with mean u= 44 and standard deviationo = 9. Find the 13th percentile.Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
- Let X be a normally distributed random variable with a mean of 12 and a standard deviation of 1.25. What proportion of the values of X are less than 14? 0.945 0.933 0.625 None of these choicesLet x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? < 4.78; H1: ? = 4.78H0: ? = 4.78; H1: ? ≠ 4.78 H0: ? = 4.78; H1: ? < 4.78H0: ? = 4.78; H1: ? > 4.78H0: ? > 4.78; H1: ? = 4.78 (b) What sampling…Suppose that human pulse rates for children over 10 and adults are approximately normally distributed with a mean of 78 and standard deviation of 12. Suppose a person over 10 years of age is chosen as random. Answer the the following questions, rounding your answers to 4 decimal places. 1. The probability that the pulse rate of the individual is less than 60 2. The probability that the pulse rate of the individual is more than 100 3. The probability that the pulse rate of the individual is between than 60 and 80 4. The probability that the pulse rate of the individual either is less than 55 or more than 95 5. The probability that the pulse rate of the individual is exactly 98 6. People in top 5% of the distribution of pulse rates are risk for coronary heart disease. What is the lowest pulse rate that would be considered
- The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.64. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (1) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x=| S= (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.64? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ο Hg: μ= 4.64; H1: μ 4.64 Ο Ηρ: μ> 4.64; H1: μ = 4.64 Ho: u = 4.64; H1: u * 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O…
- average number of pounds of meat that a person consumes per year is 218pounds. Assume that the standard deviation is 26 pounds and the distribution is approximately normal. 1- Find the probability that a person selected at random consumes less than 224 pounds per year 2-1f a sample of 50 individuals is selected find the probability that the mean of the sample will be less than 224 pounds per yearThe times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds. Suppose two independent random samples, 25 of each, are taken and the mean popping times are calculated. Let R = the popping time of a randomly selected regular-sized bag and M = the popping time of a mini-sized bag. Which of the following best describes the shape of the sampling distribution of ? Normal because both population distributions are Normal uniform because the both sample sizes are less than 30 skewed right because the difference in times cannot be negative skewed left because the sample sizes are less than 30 and the sampling variability is unknownLet x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…