The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the sophomores’ test scores is different to 16.1. A random sample of 20 results in scores are given below. Use a significance level of 2% to test the teacher’s claim and use the P-value method. This is the data:

Q: After entering the test scores from her Statistics class of 25 students, the instructor calculated…

A: IQR is obtained as the difference between the third and first quartiles.

Q: Raul received a score of 73 on a history test for which the class mean was 70 with a standard…

A: Here we need to find the z score and for that, we have to use the formula z = Value-meanStandard…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

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

Q: On a nationwide math test, the mean was 51 and the standard deviation was 4. If Roberto scored 70,…

A:

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A:

Q: Carol-Anne is an environmental scientist studying the heights of red oak trees in a nearby marsh and…

A: It is given that the researcher randomly selected 10 red oak trees from each habitat and records the…

Q: A class of 30 62.171 students took a quiz worth 50 points. The standard deviation of the scores was…

A: Standard deviation of sample is given by

Q: Molly earned a score of 920 on a national achievement test. The mean test score was 825 with a…

A: Given that, The proportion of students had a higher score than Molly is,

Q: The scores at a golf course recorded last year followed a normal distribution with mean 78 and…

A:

Q: Tom scored a 117 on a measure of math ability and a 41 on a measure of verbal ability. The means and…

A:

Q: The temperature is recorded at 80 airports in the region. The average temperature is 65 degrees…

A: Solution

Q: Dr. Smith asked ten of his students how much cash they were carrying. The responses in dollars were:…

A: Number of students = 10 Money that the students will have after getting 1 dollar = Original money +…

Q: Angela polled her first grade class about their family pets. The following data lists the number of…

A:

Q: developmental psychologist is interested in studying how long babies gaze at a photograph of a human…

A: Given data, 12, 15, 16, 20, 20, 27 Sort the data in ascending order. 12,15,16,20,20,27

Q: Tom scored a 125 on a measure of math ability and a 42 on a measure of verbal ability.The means and…

A:

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: Kelsey Matthau is an advisor for a high school. The high school offers a class for students…

A: The Given hypothesis test for the difference between two means of independent samples is…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 70,…

A: Given that,Mean = 72Standard deviation = 7And X=70

Q: 500 freshmen at Prairieville High School took an algebra test.  The scores were normally distributed…

A: According to the Bartleby guidelines experts solve only one question and maximum three subparts…

Q: George got a 75 on a math test. The reliability of the math test was .85 and the standard deviation…

A: Confidence Interval: A confidence interval, refers to the probability that a population parameter…

Q: standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: Given Mean =21.2 Standard deviation=5.7

Q: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given, mean =μ=68Standard deviation = 4x = 78

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Let X be the golf scores. It is given that X is normally distributed with mean 68 and standard…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A:

Q: ... Since the z score for the tallest man is z = and the z score for the shortest man is z = | , the…

A: The tallest living man at one time had a height of 238 cm. The shortest living man at that time had…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: A football coach claims that the average weight of all the opposing teams’ members is 210 pounds.…

A: Consider that μ is the true average weight of all the opposing teams’ members.

Q: Use z scores to compare the given values.   The tallest living man at one time had a height of 225…

A: Given that  The tallest living man at one time had a height of 225 cm. The shortest living man at…

Q: Jake needs to score in the top 10% of his class to earn a physical fitness certificate.  The class…

A: Solution: The class mean is μ= 78, and the standard deviation is σ= 5.5.

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: GivenMean(μ)=1457standard deviation(σ)=315

Q: On a nationwide math test, the mean was 57 and the standard deviation was 4. If Roberto scored 90,…

A: Formula for z-score is

Q: In Statsville, there is a city-wide speed limit of 30 mph. If you are caught speeding, the fine is…

A: Let X be the random variable of drivers who were fined Given Data: E(X)=42 SD(X)=7   Let Y be the…

Q: A concierge is interested in how long it takes to bring passengers to the airport and then return to…

A: (a) First we calculate the mean; The table of calculations is provided below; No. x (x-x¯)2 1…

Q: Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the…

A: Given 126,138,132,138,124,122

Q: Tom scored a 122 on a measure of math ability and a 39 on a measure of verbal ability. The means and…

A:

Q: A primary school is conducting a canned food drive . The mean number of canned goods donated by each…

A: Given, Mean μ = 10Standard deviation σ = 3No of cans Alberto donated X = 16

Q: The local pilots association examined records from this year's census of its members. Tom is a…

A: # Given: cencus shows that the mean flight experience =3095 hour  Standard deviations=679 hour  Tom…

Q: z-scores to make the following comparison between students. a. Claudia has a score of 61. Her class…

A: Given: For Claudia Raw score = 61 Population mean μ1=74     Population standard deviation σ1=4…

Q: The average McDonald's restaurant generates $3 million in sales each year with a standard deviation…

A: Solution