Companies that design furniture for elementary school classrooms produce a variety of sizes for kids of different ages.  Suppose the heights of kindergarten children are normally distributed with a mean of 38.2 inches and a standard deviation of 1.8 inches.  What proportion of kindergarten kids should the company expect to be less than 3 feet tall?  Round your answer to 4 decimals places and include the leading zero.

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: X follows a Normal distribution with mean = 51.6 and S.D = 2.5 Then z=(x-mean)/SD = (x-51.6)/2.5…

Q: The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a…

A: Let X be the height of adult men  Y be the height of adult women  X~N(μx=69.5inch, σx=2.62 inch)…

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A:

Q: A random sample of 54 four-year-olds attending day care centers provided a yearly tuition average of…

A: Given n=54 X-bar=3912 Standard deviations=615

Q: At the shot put event the mean was a throw of 44.22 feet, with a standard deviation of 3.65 feet.…

A:

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: During 1 week, an overnight delivery company found that the weights of its parcels were normally…

A:

Q: A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with a…

A: A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with a…

Q: For a sample of 18 cars, you find the standard deviation of the price is 6150 (measured in dollars).…

A: Given that, Sample size of cars n=18 Standard deviation of the price s=6150

Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…

A: Given : The heights of adult men in America are normally distributed, with a mean of 69.2 inches and…

Q: SAT scores are normally distributed with a mean of 1500 and a standard deviation of 300. ACT scores…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A:

Q: In a recent study, the serum cholesterol levels in men were found to be normally distributed with a…

A:

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: Let, X= resistance Given that X follows a normal distribution with mean=50 and standard deviation=4…

Q: A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.5 with a…

A: Given : For a dozen of eggs :  E(X) = 0.5 SD(X) = 0.4

Q: During 1 week an overnight delivery company found that the weights of its parcels were normally…

A: ANSWER :

Q: The mean weight of a group of boys is 145 lbs, with a standard deviation of 4 lbs. If the weights…

A:

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: Given : Let, X = Wingspans of butterflies  X~N(μ=52.6,σ2=(2.9)2)  We want to find, (a)…

Q: The heights of women aged 18 to 24 are approximately normal with a mean of 65 inches and a standard…

A: Given that  X~N(μ= 65 , σ= 2.5 ) μ= 65 , σ= 2.5 Formula for Z-score Z=(X-μ)/σ

Q: Reginald Brown, an inspector from the Department of Weights and Measures, weighed 15 eighteen-ounce…

A: Let μ denotes the population mean. The sample size is 15, population mean is 18 ounce, sample mean…

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and…

A: Given, Mean (μ) = 69.1 Standard deviation (σ) = 2.65

Q: In a Science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: Given: The mean score of a Science test is μ=42. The standard deviation is σ=5. Let X be a random…

Q: Approximately how many policemen have waist girth less than 37.25 inches

A: The waist of 2,500 policemen is normally distributed with a mean of 35 inches and a standard…

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: Companies who design furniture for elementary school classrooms produce a variety of sizes for kids…

A: According to the provided information, Mean (µ) = 39.2 Standard deviation (σ) = 1.9 The Z-score is…

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

A:

Q: In Pittsburgh, PA, about 56% of the days are cloudy. June, which has 30 days, is to be considered.…

A: Hey there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A:

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: .

Q: A manufacturing company wants to know if the product waste that they produce complies with the…

A: Given information Sample mean x̅ = 188 kg Population mean µ = 200 kg Sample size = 30 Standard…

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A:

Q: to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively…

A:

Q: A quantitative data set has size 50. At least how many observations lie within three standard…

A: The size of the data set is 50.

Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: the internal revenue service reports that the mean federal income tax paid in a year was $8040.…

A: Given,           Meanμ=8040           Standard deviationσ=5000           Sample sizen=1000…

Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: As per policy I have solved first 3 sub parts Given For men Mean=69.8 Standard deviation=2.69 For…

Q: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: Solution: a. Let X be the wingspans of a group of monary butterflies. From the given information, X…

Q: In the United States the heights of females follows a normal distribution with a mean of 63.7 inches…

A: Given: Population mean μ=63.7 Population standard deviation σ=2.7 Consider X as the heights of…

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a…

A: Given,Mean (μ) = 52.2Standard deviation (σ) = 2.3a) Required probability is…

Q: What is the weight of the newborn elephant at the 33rd percentile? Round to the nearest whole number

A: Given:   birth weights of newborn elephants = X X is Normally distributed mean of X = 160 pounds…

Q: On the final exam, your friend scored a 93 and you scored a 85. The scores are normally distributed…

A: Obtain the Z-score for the random variable X equals 85. The Z-score for the random variable X equals…

Q: A quantitative data set has size 60. At least how many observations lie within three standard…

A:

Q: The average on the Math section of the SAT was 500 with a standard deviation of 100. What score must…

A:

Q: The time is takes a studen to walk from the dorn to the chemistry lab follows roughly a Normal…

A: Mean(µ) = 20 Standard deviations (σ) = 3 X ~ N (µ, σ )= N ( 20, 3)

Q: A man was out shopping buying 100 watermelons. He wanted to buy the largest fruit so he calculated…

A: We have to find out given probability..... As per guideline expert have to find out given first…

Q: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: A successful basketball player has a height of 6 feet 4 ​inches, or 193 cm. Based on statistics from…

A:

Q: A biologist found the wing span of a group of MONARY butterflies to be normally distributed with a…

A: