Manny creates a new type of bowling ball. His new model knocked down an average of 8.96 pins, with a standard deviation of 1.35 pins. The older model bowling ball knocked down 7.79 pins on average, with a standard deviation of 3.63 pins. He tested each bowling ball model 10 times.

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Given information Mean µ = 25 pounds Standard deviation σ = 3 pounds Z = -2

Q: Assume that the results are normally distributed. Pedro took an exam in a class in which the mean…

A: The formula for z-score is z = x - μσ where μ is the mean and σ is the standard deviation.…

Q: Wyatt earned a score of 670 on Exam A that had a mean of 750 and a standard deviation of 50. He is…

A: Here both exam A and exam B are normally distributed. We need to find the marks required in exam B…

Q: the score of ryan in English is 1 unit standard deviation above the mean. His score in Mathematics…

A: Given information Z score=1 for English Z score=0.5 for Mathematics

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10.…

A: The normal distribution curve corresponding to mean 8.3 and standard deviation 0.5 including the…

Q: Sophia, a yoga instructor at Yoga for You, selected random samples of 210 students from a nearby…

A: Given that, the t-value is 2.63. The sample sizes are n1=210 and n2=210.

Q: The mean weight of babies born in Central hospital last year was 7.2 pounds. Suppose the standard…

A:

Q: ather drops his three children off at the movie theater and give nd on a movie and concession…

A: let X1,x2,x3 be the three children. A father drops his three children off at the movie theater and…

Q: Both data sets have a mean of 175. One has a standard deviation of 16, and the other has a standard…

A: The stem-and-leaf plots are given and the one has a standard deviation of 16 and other has a…

Q: Dougal is filling out college applications that require either a SAT math score or ACT math score.…

A: Given Information: Dougal has an SAT math score of 610 and an ACT math score of 27. Mean SAT math…

Q: A survey of attendance records shows that high school seniors average 10.5 sick days per school year…

A: Let, x denotes sick days per school year of high school seniors. It is given that- x~N10.5,5.25

Q: Scenario 2: The breaking strength of cables produced by a manufacturer have a mean of 1800 lb and a…

A: Claim : the breaking strength can be increased.

Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

Q: Jone works for a Italian dramatic agency whose workers had an average income this past year of…

A:

Q: On a nationwide math test, the mean was 52 and the standard deviation was 4. If Roberto scored 85,…

A: The z score formula is,

Q: A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10%…

A: Here we need to find the mean, median and mode for the given normal distribution. Also we need to…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 222 cm.…

A: The mean and standard deviation are 170.21 and 5.74, respectively.

Q: One hundred students took a midterm exam designed to measure knowledge of statistics. Their scores…

A: Solution: Let X be the scores. From the given information, X follows normal distribution with mean…

Q: Nick takes a Organic Chemistry test and scores a 40. The Chemistry test scores were normally…

A: Given The data is as follows: Nick's organic chemistry score, X=40 μ=50σ=4   Sally's physics…

Q: A medical lab tested a sample of 8 vials of blood for acidity on the pH scale.  Use this data to…

A:

Q: Write down the formulas for the standard deviation of x.

A: The formula for the sample standard deviation can be written as: Here, n is the sample size and x̅…

Q: The grades on a geometry midterm at Oak have a mean of u = 74 and a standard deviation of o = 4.0.…

A: Given  mean (μ)=74 and x =70 standard deviation (σ)=4.0 Find the z-score ?

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: GivenHighest speed measured (x)=78.4Mean(x)=18.37standard deviation(s)36.54

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: GIVEN DATA, normal distribution μ=100σ=15we have to find out the indicated IQ score for the given…

Q: Suppose a friend tells you that the average length of trout caught in pyramid lake is u=19 inches.…

A: Given information Hypothesized mean = 19 Sample Standard deviation = 3.5 Sample mean = 18.6 Sample…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: Raw scores on standardized tests are often transformed for easier comparison. A test of Math ability…

A:

Q: The mean and standard deviation for the final exam in Dr. Fudd's class were as follows: mean = 86…

A: Given that  Mean = 86  ,  Standard deviation = 3  Bugs scored = 88

Q: An upscale women's clothing boutique in Laguna Beach, on average, has daily sales of $28,176.44. The…

A:

Q: How standard deviation affects the power?

A: With increase in standard deviation, The observed point will be located far away from the mean.…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: T'he mean and standard deviation of a set of 100 observations were worked out as 40 and 5…

A:

Q: The manager at UPS feels that the weights of packages shipped recently are less than in he past.…

A: Given  Population mean μ=36.7, standard deviations σ=14.2, level of significance=0.01, n=64, sample…

Q: Christian earned a score of 80 on Exam A that had a mean of 200 and a standard deviation of 40. He…

A: Here we need to compute the marks Christian must obtain in exam B such that it's equivalent to exam…

Q: Elijah earned a score of 228 on Exam A that had a mean of 200 and a standard deviation of 40. He is…

A: We have to find score required in exam b.

Q: A California lake has been stocked with rainbow trout. These trout have an average length of 24…

A: Given Information: Mean μ=24 Standard deviation σ=3 Someone goes fishing and catches a trout that is…