With a normal probability distribution curve, identify which statement is false:
all the possible probabilities are under the curve. |
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the area under the curve is <1 |
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the left side is a mirror image of the right side of the curve |
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the probability that an item could have 5 grams less weight and 5 grams more weight is the same. |
In a normal probability distribution curve the statement that area under the curve is less than 1 so option B is false
Reason:-as we know a proper density curve has its are under the domain is 1
With a normal probability distribution curve, identify which statement is false: all the possible probabilities are...
Which of the following statements is not a property of the normal probability distribution?A. The normal distribution is symmetricB. Exactly two-thirds of all possible observed values of the random variable x are within plus or minus one standard deviations of the population meanC. The mean, median and mode are equalD. The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the meanE. All of the...
In a standard normal distribution bell curve, the proportion of the total area which must be to the left of the mean is and the total area under the curve is A: between 0.25 and 0.60; 0.50 and 1.20 B: exactly 0.50; 1 C: less than 0.50 if the distribution is skewed to the left; 1 D: more than 0.50 if the distribution is skewed to the right; 1
Probabilities and areas under a curve Discuss why probabilities for the normal distribution and other continuous distributions are the same as areas under the curve for a given interval.
4. Probability computations using the standard normal distribution Assume that x, the starting salary offer for education majors, is normally distributed with a mean of $46,292 and a standard deviation of $4,320 Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that displays the distribution and a single orange line.) Standard Normal Distribution Mean 0.0 Standard Deviation-1.0 -2 .3 The probability that...
Respond True or False to each of these statements. The total area under the normal distribution is equal to 1. As the sample size increases, the distribution of the sample statistics becomes more consistent. Sampling variability refer to a variability of parameters. A sampling distribution describes a distribution of sample statistics. All variables that are approximately normally distributed can be transformed to standard z-scores. The z-value corresponding to a datum below the mean is always negative. The area under the...
The alternate hypothesis is a statement that the value of a population parameter (such as proportion, mean, or standard deviation) is equal to some claimed value. True O False A Uniform probability distribution is applicable to the scenarios where the set of possible outcomes can take on values in a continuous range (e.g. real numbers), such as the temperature on a given day." True False A larger standard deviation indicates that the data is further away from; hence, the normal...
QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution OB. The smaller the degrees of freedom the flatter the curve. OC. The t-distribution has a larger standard deviation than the Standard Normal Curve. OD. T-distributions have a mean of 0. o E. The total area under the density curve depends on the degrees of freedom. QUESTION 6 The t-procedures are robust when A. sample size is 12 and the sample data is not...
1. For a normal curve whose mean is 5 with a standard deviation of 1.1 find the x-value with 73% of the data to the left of it. 5 %.67 b) 0.61 C) 0.73 d) answer not here 2. The marks on a statistic test are normally distributed with a mean of 62 and a standard deviation of 15. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what mark...
The distribution of weights of United States pennies is approximately normal with a mean of 2.4 grams and a standard deviation of 0.02 grams. (a) What is the probability that a randomly chosen penny weighs less than 2.4 grams? (b) What is the probability that the mean weight of 10 pennies is less than 2.4 grams? (c) Could you estimate the probabilities from (a) and (c) if the weights of pennies had a skewed distribution? I could still estimate (a):...
In general, the binomial probability P(X x) is approximated by the area under the normal curve to the right of x - .5. True False