Question
In: Economics
Data are drawn from a relatively symmetric and bell shaped distribution with a mean of 30...
Data are drawn from a relatively symmetric and bell shaped distribution with a mean of 30 and a standard deviation of 3.
a.) what percentage of the observations fall between 27 and 33?
b.) what percentage of the observations fall between 24 and 36?
c.) what percentage of the observations are less than 24?
Solutions
Rahul Sunny answered 1 year agoRelated Solutions
1. Data are drawn from a bell-shaped distribution with a mean of 160 and a standard...
1. Data are drawn from a bell-shaped distribution with a mean of
160 and a standard deviation of 5. There are 1,400 observations in
the data set.
a. Approximately what percentage of the observations are
less than 170? (Round your answer to 1 decimal
place.)
percentage of observations ______________%
b. Approximately how many observations are less
than 170? (Round your answer to the nearest whole
number.)
number of observations ______________
2. Data with 850 observations are drawn from a bell-shaped...
1. According to the empirical rule, for a distribution that is symmetric and bell-shaped, approximately _______...
1. According to the empirical rule, for a distribution that is
symmetric and bell-shaped, approximately _______ of the data values
will lie within 3 standard deviations on each side of the mean.
2. Assuming that the heights of boys in a high-school basket-
ball tournament are normally distributed with mean 70 inches and
standard deviation 2.5 inches, how many boys in a group of 40 are
expected to be taller than 75 inches?
3. Let x be a random variable...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 12 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
11.5.
(a) Is it appropriate to use a Student's t
distribution? Explain. (Choose one of 5 listed
below)
Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown.
No, the x...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 8 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
7.5.
(a) Is it appropriate to use a Student's t
distribution? Explain.
Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown.No, the x distribution
is skewed left.
No, the x...
A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 25 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 13 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
12.5.
(a) Is it appropriate to use a Student's t distribution?
Explain. Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown. No, the x distribution is skewed left.
No, the...
Q1 A random sample of 36 values is drawn from a mound-shaped and symmetric distribution.
Q1)
A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.
(A) Is it appropriate to use a Student's t distribution? Explain.
a) Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.
b) No, the x distribution is...
A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 25 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 9 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
8.5. (a) Is it appropriate to use a Student's t distribution?
Explain. Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown. No, the x distribution is skewed left.
No, the...
A distribution of measurements is relatively mound-shaped with mean 30 and standard deviation 5. (a) What...
A distribution of measurements is relatively mound-shaped with
mean 30 and standard deviation 5.
(a) What proportion of the measurements will fall between 25 and
35?
(b) What proportion of the measurements will fall between 20 and
40?
(c) What proportion of the measurements will fall between 20 and
35?
(d) If a measurement is chosen at random from this distribution,
what is the probability that it will be greater than 35?
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...
Information about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped. "p-hat"=...
Information about a sample is given. Assume that the sampling
distribution is symmetric and bell-shaped. "p-hat"= 0.34 and the
standard error is 0.08.
a) Indicate the parameter being estimated.
b) Use the information to give a 95% confidence interval.
The 95% confidence interval is (blank) to (blank)
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