A garment manufacturer has strict quality standards for their tshirts. They should have a mean length of 30 inches with a standard deviation of 15 inches. The length of the shirts are Normally distributed. If a garment is made in the top 2% of lengths, then the machines are stopped and recalibrated. What length would a garment be if it was in the top 2%? inches or more (round to four decimal places)

Q: Find the z-score that cuts off 70% in the body on the right.

A:

Q: Find the standard deviation of this number set: {2, 4, 9} showing all of the steps involved as shown…

A:

Q: Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the…

A:

Q: Find the proportion of Normally distributed observations with a zz-score below -1.53.

A: It is given that the z-score below -1.53.

Q: On a survey, 8 students reported how many minutes it takes them to travel to school. Here are their…

A:

Q: udents? The data below shows the results of a survey of 20 college students asking hem how many days…

A: Given Sample size = 20 Sample sum = 812 Sample mean = 40.6

Q: Many athletes (and their parents) worry about the risk of concussions when playing sports. A…

A: First let us sort the head circumferences (in inches) for the players on the team; No. Head…

Q: A consumer survey indicates that the average household spends μ = $185 on groceries each week. The…

A: From the provided information, Mean (µ) = $185 Standard deviation (σ) = $25 Let X be a random…

Q: According to College Board the scores on the AP History exam are normally distributed with N(72,…

A: It is given that the scores on the AP History exam are normally distributed with N(72, 7.5).

Q: Determine the Coefficient of Variation of a data set given the x̅= 2.54 and s = .74. Round to the…

A: GivenMean(x)=2.54standard deviation(s)=0.74

Q: b. Find the probability that a randomly hit fly ball travels less than 330 feet. Round to 4 decimal…

A:

Q: there is 70% chance they should hit atleast how many pitches this season?

A: Given that, there is 70% chance they should hit.

Q: Use the normal distribution of IQ scores, which has a mean of 75 and a standard deviation of 18 ,…

A: X~N(μ=75,σ=18)

Q: Test Score Frequency 90 80 4 70 60 6 50 3

A:

Q: The histogram shows the ages of 25 CEOs listed on a certain website. Based on the distribution, what…

A: To determine the approximate mean age of the CEOs in this dataset based on the histogram, we need to…

Q: The area of the shaded region is (Round to four decimal places as needed.)

A: mean = 100 standard deviation = 15

Q: Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an…

A: We have given that, Population mean (μ) = 550 and  standard deviation (σ) = 100 Then,  We will find…

Q: Approximately​ 95% of the observations fall within the interval

A: We have given that Mean(x̅) = 79.6 and Standard deviation (s) = 13.9

Q: The average American gets a haircut every 44 days. Is the average smaller for college students? The…

A: Introduction: Denote μ as the true average number of days that college students get a haircut.

Q: Refer to the figure at the right. At a= 0.10, can you reject the claim that the proportion of 18 to…

A:

Q: find the 95% c.I for the mean selling price of 1300 sq ft condos remember n=5 , b0=-32.7, b1=7.5 ,,…

A: To find the 95% confidence interval (CI) for the mean selling price of 1300 sq ft condos, we can use…

Q: This histogram shows the heights of 20 students in a statistics class. Explain why it is not…

A: The answer is A because the histogram shows a bimodal distribution and it has two distinct peaks,…

Q: the value of so that 92.3% of the data lies to the right of

A:

Q: The test for a certain disease is 86% accurate.  A hospital tests a sample of 5000 patients for this…

A: Given: Accuracy of the test is 86% Inaccuracy of the test = 100-86% = 14% N = Total number of…

Q: technician needs to change the oil in a car is uniformly distributed between 11 and 21 minutes. Let…

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

Q: The diameter of ball bearings produced in a manufacturing process can be explained using a uniform…

A: From the provided information, The diameter of ball bearings produced in a manufacturing process can…

Q: c. Find the 95th percentile.

A: From the solution, we have μ=1.157 σ=0.532

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.