The basketball teams calculate the number of points scored by all athletes in every game. Suppose the average is usually 15, with a standard deviation, sigma = 2.5. Last year they calculated the averages before game play stopped for 36 games and found the mean = 16.1.  They want to see if this is significantly different from the usual amount. What is the computed test statistic? Calculate the z or t, whichever is appropriate, and give the result rounded to 2 decimal places. If it's a negative number, put the negative sign before the number with no spaces between it and the number.

Q: Find the IQ Score.  IQ score  0.3446 Distributed with a mean of 100 and a standard deviation of 15.…

A: Given DataMean = 100Standard deviation = 15Probability of IQ score of adults = 0.3446

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A:

Q: Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for…

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Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: In a sample of people, the mean height was  65.2  inches and the heights range from  56  to  70…

A: It is assumed that  denote the height of the person.The random variable X is given as normally…

Q: Suppose that resting pulse rates of adult males are normally distributed with a mean of 72 beats per…

A: The following information has been provided: Let X be a random variable represents the resting pulse…

Q: The rainfall in a town last year measured 31 inches. If the annual rainfall has a mean of 48.89…

A:

Q: Scores for a civil service exam are normally distributed, with a standard deviation of 8. To be…

A:

Q: You measure the height of 10 people and come up with an average of 70 inches and a standard…

A: x=70s=4n=10 The t scores for 68 inches, t=68-xsn=68-70410=-1.581139

Q: A test is scaled so that the mean score is 490 and the standard deviation is 100. What percentage of…

A: Given information μ=490 And σ=100 We have to find the percentage of students taking this test should…

Q: (e) The table gives the amount of carbon emitted into the atmosphere in carbon dioxide from 1860 to…

A:

Q: Mr. Green examines the Unit 1 Biology test scores in his class. The test scores are normally…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

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

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Q: The average age of senators in the 108th Congress was 60.5 years. If the standard deviation was 13.5…

A:

Q: Use z scores to compare the given values.   In a recent awards​ ceremony, the age of the winner for…

A: Given : x¯actor = 45.5 sactor = 6.7 xactor = 34 x¯actress = 32.7 sactress = 10.2 xactress = 45 Z = x…

Q: Last year, the mean salary of accounting clerks was $29932. If we assume that the annual salaries…

A: Given Data: Let X represent the random variable   X~ Normal (29932, 18502)

Q: Find the standard deviation if the mean = 2, mode = 5, variance = 56 . Round your answer to three…

A: We have given that,  Mean (x̄) = 2 , mode (z) = 5 and variance        (s^2) = 56 Then,  We will find…

Q: Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the…

A: The objective of this question is to find the height of a man given the z-score, the average height,…

Q: Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the…

A: given data, μ=69.0σ=2.8height of a man with a z-score of -1.75 =?

Q: se z scores to compare the given values.   In a recent awards​ ceremony, the age of the winner for…

A: Given: the age of the winner for best actor =29 the age of the winner for best actress=45 For best…

Q: he scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation…

A: Given,μ=65σ=6

Q: The population mean of happiness is 5.382, with a standard deviation of 1.138. Linda has a z score…

A: We have given that,  Let X be a random variable following normal distribution with mean (Mu) = 5.382…

Q: recent awards​ ceremony, the age of the winner for best actor was 33 and the age of the winner for…

A: Given that  For all best​ actors, the mean age is 44.6 years and the standard deviation is 8.3…

Q: he quantitative subset of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation…

A: Given data population mean (μ)= 500populatiion sd(σ) = 100sample size(n) = 64sample mean ( x¯ )=…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was…

A: Given Mean μ=15, standard deviation σ=32  X=103

Q: A vendor converts the weights on the packages she sends from pounds to kilograms (1 kg ≈ 2.20 lb).…

A: Step 1: Solution: Given the relationship between kg and pounds (lb), 1 kg=2.2 lb mean weight of the…

Q: The heights of Ukranian women are normally distributed with a mean of 71 inches and a standard…

A: It is given that the heights of Ukranian women follows normal distribution with mean 71 inches and…

Q: SAT tests have a mean of 500 and a standard deviation of 100. They are normally distributed. Amy got…

A: Given data normally distributed with mean = 500 and standard deviation = 100.Let ‘X’ be a normal…

Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Q: The weight of newborn babies is normally distributed, with a mean of 3.5 kilograms and a standard…

A:

Q: Scores on an exam were normally distributed. Ten percent of the scores were below 60.0 and 80% were…

A:

Q: Use z scores to compare the given values

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Q: Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of…

A: Given: Mean μ=55%Standard deviationσ=4% Consider, X be the random variable that follows the normal…

Q: Use z scores to compare the given values. ages are dotards ceremony, the age of the winner for best…

A:

Q: The heights of women follow a normal distribution with a mean height of 63.7, and a standard…

A: Let x be the heights of women which follows normal distribution with mean 63.7, and standard…

Q: The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

A:

Q: Jack had an average score of 75 with a standard deviation of 3. Mikes z-score was 1.85. His actual…

A: We have given that,  X be the random variable from normal distribution with mean Or average score…

Q: The annual rainfall in a town has a mean of 54.57 inches and a standard deviation of 12.84 inches.…

A: Given problem Given that   The annual rainfall in a town has a mean of 54.57 inches and a standard…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.