Question

In: Statistics and Probability

If a population does not have a normal distribution, the shape of the corresponding x-bar curve...

  1. If a population does not have a normal distribution, the shape of the corresponding x-bar curve will be

    a.

    exactly normal

    b.

    approximately normal

    c.

    Non-normal

    d.

    depends on the sample size

1 points   

QUESTION 2

  1. Ch7 Terms 5:

    As sample size increases, the standard deviation of the x-bar curve will

    a.

    increase

    b.

    decrease

    c.

    remain unchanged

    d.

    explode

1 points   

QUESTION 3

  1. Ch7 Terms 11 TF:

    As sample size increases, the distribution of an xbar curves becomes more and more normal in shape.

    a.

    TRUE

    b.

    FALSE

1 points   

QUESTION 4

  1. 17 term 5:

    A sample average is useful because it is identical to the population average

    a.

    TRUE

    b.

    FALSE

1 points   

QUESTION 5

  1. AInv Prob percentiles 6:

    Use your TI83 (or Excel):

    A normally distributed population has a mean of 93 and a standard deviation of 12. Determine the value of the sample average at the 75th percentile for samples of siz 43.

    Round to the nearest tenth

2 points   

QUESTION 6

  1. sigma xbar 1:

    Suppose a sample of 77 healthy adult human body temperatures is taken from a population with a standard deviation of 0.3 degrees Fahrenheit. What would be the sampling deviation of the sample mean?

    Round to the nearest thousandth

2 points   

QUESTION 7

  1. Prob 6 11B:

    Use your TI83 (or Excel):

    A certain giant tortoise has a life span that is normally distributed with a mean age of 72 years and a standard deviation of 19 years. Determine the probability that a random sample of 37 such tortoises has an average life span between 70 and 81 years.

    Round to four decimal places.

2 points   

QUESTION 8

  1. Prob 1 11B:

    Use your TI83 (or Excel):

    A Test has scores that are normally distributed with a mean of 79 and a standard deviation of 14. Determine the probability that a random sample of 31 test scores has an average greater than 77.

    Round to four decimal places.

2 points   

QUESTION 9

  1. interval 5:

    A normally distributed population has a mean of 90 and a standard deviation of 19. Sample avergaes from samples of size 13 are collected. What would be the upper end of the centered interval that contains 95% of all possible sample averages?

    Round to the nearest hundredth

2 points   

QUESTION 10

  1. Dinner app 1 ch 11B:

    Use your TI83:

    At a certain restaurant in Chicago, the average time it takes a person to eat a nice dinner is 55 minutes with a standard deviation of 20 minutes. These times are known to be normally distributed.

    To Four decimal places, what is the probability a random diner will finish dinner in more than 54 minutes?

Solutions

Expert Solution

dear student we can provide you with 4 Multiple choice question at a time. Please post the question one at a time or accordingly.

According to the Central limit theorem that states that if a large enough sample is taken even from a not normal ddistribution (typically n > 30) then the sampling distribution of is approximately a normal distribution with a mean of and a standard deviation of .

1) hence the right answer is option d

2) the standard deviation of the is if the population standard deviation is not given is

option B is right . As the sample size increases, the standard deviation decreases.

3) according to the central limit theorem above statement is true.

4) Sample average is the point estimate for the population mean.

If the sample is a simple random sample, the sample mean is an unbiased estimate of the population mean

hence option A is right


Related Solutions

Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding...
Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding to Z < 1.1?
Describe the effects the parameters of a normal curve have on the central location and shape...
Describe the effects the parameters of a normal curve have on the central location and shape of the curve. If the standard deviation of a normal curve remains constant, what effect changes in the mean will have on the curve? If the mean of a normal curve remains constant, what effect changes in the standard deviation will have on the curve?
For the shape of the distribution of the sample proportion to be approximately? normal, it is required that
Fill in the blanks to complete the following statements.Bold left parenthesis a right parenthesis(a)For the shape of the distribution of the sample proportion to be approximately? normal, it is required that?np(1minus??p)greater than or equals??______.Bold left parenthesis b right parenthesis(b)Suppose the proportion of a population that has a certain characteristic is0.9The mean of the sampling distribution ofModifyingAbove p with caretpfrom this population ismu Subscript ModifyingAbove p with caret?pequals=?______.?(This is a reading assessment question. Be certain of your answer because you only...
Find the score corresponding to the 75th percentile of a normal distribution with a mean of...
Find the score corresponding to the 75th percentile of a normal distribution with a mean of 90 and a standard deviation of 12. 2.A normal distribution has a mean of 5 and a standard deviation of 2. What proportion of the distribution is above 3? 3.A normal distribution of test scores has a mean of 38 and a standard deviation of 6. Everyone scoring at or above the 80th percentile gets placed in an advanced class. What is the cutoff...
1. When the shape of the distribution of scores is normal, which of the follow is...
1. When the shape of the distribution of scores is normal, which of the follow is true: A.) mean < median < mode B.) mean = median = mode C.) mean > median > mode 2. When the score for the mean is significantly larger than the median score, you would expect the shape of the distribution of scores to be A.) need more information B.) positively skewed C.) negatively skewed D.) platykurtic E.) leptokurtic
The normal distribution is a special distribution of quantitative data that has a symmetric Bell-shape. Data,...
The normal distribution is a special distribution of quantitative data that has a symmetric Bell-shape. Data, such as the average temperature in a region or over time, often have a normal distribution. Why? The graph that we were looking at in class in on the nytimes website. It’s title is “It’s not your Imagination. Summers are getting hotter.”( This is only if you’ve wanted context to the question, although I do not think you need the graph to answer). I...
1)What is a sampling distribution for the sample mean, x-bar? Explain. Is x-bar a random variable?...
1)What is a sampling distribution for the sample mean, x-bar? Explain. Is x-bar a random variable? Why do you think so? 2) We learned standard error of the mean ( read sigma xbar in denotation) or standard deviation of sample mean. When the size(n) of the sample collected from a infinite population is greater than 1, why is the standard error of the mean  smaller than the standard deviation of X, population ? Explain conceptually or/and algebraically. Think of formula for...
Given X + Y has a normal distribution, prove that X and Y each have a...
Given X + Y has a normal distribution, prove that X and Y each have a normal distribution if X and Y are iid random variables
The incomes of a population of lawyers have a normal distribution with mean US$88,000 and standard...
The incomes of a population of lawyers have a normal distribution with mean US$88,000 and standard deviation US$60,000. Forty-nine lawyers are selected at random from the above population to serve as a sample in a research project. Use the z for a sample mean formula and determine the probability that the one sample of 49 lawyers drawn at random will have a mean salary of US$90,000 or greater. a. .03 b. .23 c. -.03 d.-.23 e. .5120 f..4880 g. .5910...
Consider what you have learned about the shape normal distribution and specifically about the Empirical Rule....
Consider what you have learned about the shape normal distribution and specifically about the Empirical Rule. Please compare and contrast Roger’s Innovation Adoption Curve with what you have learned. Be as specific as possible in your explanations making reference to Roger’s Innovation Adoption Curve, the normal distribution, and the Empirical Rule .
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT