The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer. What is the probability that the sample mean would be less than  33.8 dollars if a sample of 96 5-gallon pails is randomly selected? Round your answer to four decimal places.

Q: If the mean of the random variable x is larger than the mean of the random variable y, then the…

A: We have to answer question related to mean and variance.

Q: The mean weight of an adult is 76 kilograms with a variance of 100. If 142 adults are randomly…

A: Given  Mean=mu=76 Variance=sigma^2=100 Standard deviation=sigma=10 n=142

Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

A:

Q: Steel produced by company A has an average tensile strength of 4500 lbs and a variance of 40000 lbs,…

A: Solution: Given information: nA= 50  Sample size of company A nB= 100 Sample size of company  B μA=…

Q: A production manager at a wall clock company wants to test their new wall clocks. The designer…

A: Solution: a. Let X be the clock life. From the given information, X has mean 17 years and a variance…

Q: 3. Suppose we are concerned about the variability of the amount of beer in our beer bottles. random…

A: Using chi square value from table of chi.

Q: The time taken by brake discs to overheat on construction equipment is normally distributed with…

A: The mean is 3.1 and the standard deviation is 0.4.

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A:

Q: A quality control expert at LIFE batteries wants to test their new batteries. The design engineer…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: It is an important part of statistics . It is widely used .

Q: The average number of work emails received in a day is 27.  If the variance is known σ2 = 3.45…

A: GivenMean(μ)=27vatiance(σ2)=3.45standard deviation(σ)=3.45=1.8574

Q: On the basis of past experience, the store manager of a clothing store estimates the probability…

A:

Q: the probability that a ball dropped from a certain height will strike the ground is 80 percent and…

A: Given: Number of trials or balls (n) = 12 Probability of success  here (p) = 0.80 Let X ~ Bin(12,…

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A: The mean is 105 and the variance is 81.

Q: he results of a statistics examination follow an approximately normal distribution with a mean of 68…

A: Given data,Mean μ=68Variance σ2=64sd     σ=8P(X>82)=?

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: Suppose you throw two dice and take the sum as a discrete random variable. Let us assume you take a…

A: When you throw two dices together, each dice will show a number ranging from 1 to 6 on the side…

Q: Find the variance of the random variable x ?

A:

Q: The mean lifetime of a tire is 3737 months with a variance of 8181.   If 149149 tires are sampled,…

A: Note Thanks for your question. For the calculation, we consider question as, mean lifetime of a tire…

Q: The mean height of 15-year-old boys is 175 cm and the variance is 64. For girls, the mean is 165 and…

A:

Q: The mean weight of an adult is 62 kilograms with a variance of 144. If 195 adults are randomly…

A:

Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: It is investigated whether there is a difference between the statistics course final exam scores of…

A: The appropriate hypothesis to be tested is as follows here the square of S_1 and S_2 represent the…

Q: The filling machine at a bottling plant is operating correctly when the variance of the fill amount…

A: The variance of the fill amount in ounces is equal to 0.3. The number of sample bottles is equal to…

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: Given that mean =200 ,s.d =16

Q: Suppose the horses in a large stable have a mean weight of 873 lbs, and a variance of 17,161. What…

A:

Q: The mean number of words per minute (WPM) read by sixth graders is 95 with a variance of 196. If…

A: According to the provided information,

Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: he mean cost of a five pound bag of shrimp is 47 dollars with a variance of 36. If a sample of 43…

A:

Q: A quality control expert at LIFE batteries wants to test their new batteries. The design engineer…

A:

Q: The mean cost of a five pound bag of shrimp is 46 dollars with a variance of 64. If a sample of…

A:

Q: A normally distributed random variable has a mean of 140 and a variance of 2575. What is the…

A: μ = 140σ2=2575→σ = 2575 = 50.74

Q: The mean output of a certain type of amplifier is 352 watts with a variance of 121. If 57…

A: Given, Sample Mean, x=352 Standard deviation, s =11 Sample size, n = 57 Population mean, μ = 2.3

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: The probability of the sample mean would be greater than 101.5 gallons is 0.9382 and it is obtained…

Q: Suppose the horses in a large stable have a mean weight of 807 lbs, and a variance of 5776. What is…

A: Assume,  x denotes the sample mean weight of horses (in lbs). μ denotes the population mean weight…

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A:

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…

A:

Q: Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625.…

A: Given: μ=3685σ2=330625

Q: The mean output of a certain type of amplifier is 352352 watts with a variance of 121121. If 5757…

A: Given problem is : The mean output of a certain type of amplifier is 352 watts with a variance of…

Q: A quality control expert at LIFE batteries wants to test their new batteries. The design engineer…

A: Solution: Let X be the battery life. From the given information, X has mean µ=645 minutes and a…

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: According to central limit theorem the sampling distribution of sample mean follows the normal…

Q: The mean points obtained in an aptitude examination is 179points with a variance of 225.   What is…

A: Solution: Let X be the points obtained in an aptitude examination. From the given information, X has…

Q: One sample has n = 10 scores and a variance of s2 = 20, and a second sample has n = 15 scores and a…

A:

Q: The mean weight of an adult is 71 kilograms with a variance of 100.   If 181 adults are randomly…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: Obtain the probability that the sample mean would differ from the population mean by more than 2…

Q: horses in a large stable have a mean weight of 1354 lbs, and a variance of 9604. What is the…

A: Suppose the horses in large stable have a mean weight of 1354lbs and variance of 9604. X~N (µ=1354,…

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The probability that the sample mean would differ from the population mean by less than 778 miles in…

Q: Two samples each have n = 4 scores. If the first sample has a variance of 10 and the second sample…

A: Obtain the estimated standard error of the sample mean difference.   The estimated standard error of…

Q: The mean per capita consumption of milk per year is 131 liters with a variance of 841. If a sample…

A: We have to find out given probability..