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The marks obtained in statistics in a certain examination are found to be normally distributed. If...
The marks obtained by the students at an examination are found to be normally distributed with...
The marks obtained by the students at an examination are found to be normally distributed with u = 6565 and o = 6. If a random sample of 100 students is taken, what is the probability that the mean marks will be between 65 and 66?
The marks of 800 candidates in an examination were normally distributed with a mean of 45...
The marks of 800 candidates in an examination were normally distributed with a mean of 45 marks and standard deviation of 20 marks. If 5% of the candidates obtained a distinction by scoring X marks or more, estimate the value of X ; [4 Marks] Estimate the interquartile range of the marks. [6 Marks]
QUESTION FIVE (20 MARKS) a) The marks obtained in a Business Statistics CAT are normally distributed...
QUESTION FIVE (20 MARKS) a) The marks obtained in a Business Statistics CAT are normally distributed with mean of 23and standard deviation of 4.2. Find the probability that a randomly selected student scores: (i) More than 25 marks (ii) Between 20 and25 marks (iii) Less than the mean mark? (2 Marks) (3 Marks) (3 Marks) b) Differentiate between the following terms as used in Hypothesis testing (i) Null and alternative hypothesis (ii) One tailed and two tailed tests (ii) Type...
The marks on a statistics mid-semester exam are normally distributed with a mean of 78 and...
The marks on a statistics mid-semester exam are normally distributed with a mean of 78 and a standard deviation of 6. a What proportion of the class has a mid- semester mark of less than 75? b What is the probability that a class of 50 has an average mid-semester mark that is less than 75?
The marks in a university statistics course are normally distributed with a mean of 68% and...
The marks in a university statistics course are normally distributed with a mean of 68% and a standard deviation of 6%. Sketch the normal distribution for the course. Label the scale on the horizontal axis. Calculate the z-score for a student with a mark of 79%, and explain what it means. Calculate the probabilities for a student to have the following grades: (i) Greater than 60% (ii) Between 70% and 80% 2. The mid tirm grades had a...
A set of final examination grades in an introductory statistics course is normally distributed, with a...
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 78 and a standard deviation of 8. What is the probability that a student scored between 70 and 99? The probability that a student scored between 70 and 99 is =?
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation o...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
The claim is that the IQ scores of statistics professors are normally distributed, with a mean...
The claim is that the IQ scores of statistics professors are normally distributed, with a mean greater than greater than 127. A sample of 26 professors had a mean IQ score of 128 with a standard deviation of 12. Find the value of the test statistic.
Scores on a certain test were normally distributed with a mean of 80 and a standard...
Scores on a certain test were normally distributed with a mean of 80 and a standard deviation of ± 12. What is the probability that a given student got a score more than 80? Your answer should be correct to four decimal places.
The board of examiners that administers the real estate brokerʹs examination in a certain state found...
The board of examiners that administers the real estate brokerʹs examination in a certain state found that the mean score on the test was 375 and the standard deviation was 36. If the board wants to set the passing score so that only the best 80% of all applicants pass, what is the passing score? Assume that the scores are normally distributed
The marks obtained by the students at an examination are found to be normally distributed with u = 6565 and o = 6. If a random sample of 100 students is taken, what is the probability that the mean marks will be between 65 and 66?
QUESTION FIVE (20 MARKS) a) The marks obtained in a Business Statistics CAT are normally distributed with mean of 23and standard deviation of 4.2. Find the probability that a randomly selected student scores: (i) More than 25 marks (ii) Between 20 and25 marks (iii) Less than the mean mark? (2 Marks) (3 Marks) (3 Marks) b) Differentiate between the following terms as used in Hypothesis testing (i) Null and alternative hypothesis (ii) One tailed and two tailed tests (ii) Type...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
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