Question
In: Statistics and Probability
A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations...
A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations on the thickness of this coating is taken from a week's output and the thickness (in millimeters) of these observations are shown below. Assuming normality, find a 90% confidence interval for the population variance.
19.1.
21.7
18.7
20.1
21.5
19.5
19.1
20.2
20.3
Solutions
orchestra answered 1 year agoRelated Solutions
Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity...
Construct a normal probability plot for the following sample of
observations on coating thickness for low-viscosity paint.
0.83
0.87
0.89
1.02
1.09
1.14
1.27
1.29
1.46
1.51
1.60
1.64
1.67
1.70
1.78
1.83
Determine the z percentile associated with each sample
observation. (Round your answers to two decimal places.)
Sample observation
0.83
0.87
0.89
1.02
1.09
1.14
1.27
1.29
z percentile
Sample observation
1.46
1.51
1.60
1.64
1.67
1.70
1.78
1.83
z percentile
Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity...
Construct a normal probability plot for the following sample of
observations on coating thickness for low-viscosity paint. 0.83
0.86 0.86 1.02 1.08 1.12 1.29 1.31 1.46 1.51 1.60 1.63 1.67 1.69
1.74 1.84 Determine the z percentile associated with each sample
observation. (Round your answers to two decimal places.)
dont just calculate , please show step by step
Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity...
Construct a normal probability plot for the following sample of
observations on coating thickness for low-viscosity paint.
0.84
0.89
0.90
1.02
1.08
1.14
1.28
1.31
1.47
1.47
1.60
1.62
1.66
1.73
1.75
1.81
Determine the z percentile associated with each sample
observation. (Round your answers to two decimal places.)
Sample observation
0.84
0.89
0.90
1.02
1.08
1.14
1.28
1.31
z percentile
Sample observation
1.47
1.47
1.60
1.62
1.66
1.73
1.75
1.81
z percentile
Consider the following sample of observations on coating thickness for low-viscosity paint. 0.87 0.88 0.88 1.05...
Consider the following sample of observations on coating
thickness for low-viscosity paint. 0.87 0.88 0.88 1.05 1.09 1.14
1.29 1.31 1.46 1.49 1.59 1.62 1.65 1.71 1.76 1.83 Assume that the
distribution of coating thickness is normal (a normal probability
plot strongly supports this assumption).
(c) Calculate a point estimate of the value that separates the
largest 10% of all values in the thickness distribution from the
remaining 90%. [Hint: Express what you are trying to estimate in
terms of...
A random sample of 42 observations is used to estimate the population variance. The sample mean...
A random sample of 42 observations is used to estimate the
population variance. The sample mean and sample standard deviation
are calculated as 74.5 and 5.6, respectively. Assume that the
population is normally distributed.
a. Construct the 90% interval estimate for the
population variance. (Round intermediate calculations to at
least 4 decimal places and final answers to 2
decimal places.)
b. Construct the 99% interval estimate for the
population variance. (Round intermediate
calculations to at least 4 decimal places and...
A random sample of 20 observations is used to estimate the population mean. The sample mean...
A random sample of 20 observations is used to estimate the
population mean. The sample mean and the sample standard deviation
are calculated as 162.5 and 22.60, respectively. Assume that the
population is normally distributed.
a. Construct the 99% confidence interval for the
population mean. (Round intermediate calculations to at
least 4 decimal places. Round "t" value to 3 decimal
places and final answers to 2 decimal places.)
b. Construct the 95% confidence interval for
the population mean. (Round intermediate...
A random sample of 105 observations produced a sample mean of 33. Find the critical and...
A random sample of 105 observations produced a sample mean of
33. Find the critical and observed values of z for the
following test of hypothesis using α=0.025. The population standard
deviation is known to be 9 and the population distribution is
normal.
H0: μ=28 versus H1: μ>28.
Round your answers to two decimal places.
zcritical =
zobserved =
A random sample of 100 observations produced a sample mean of 32. Find the critical and...
A random sample of 100 observations produced a sample mean of
32. Find the critical and observed values of z for the following
test of hypothesis using α = 0.025 . The population standard
deviation is known to be 5 and the population distribution is
normal. H 0 : μ = 28 versus H 1 : μ ≠ 28 .
A random sample of 136 observations produced a sample mean of 29. Find the critical and...
A random sample of 136 observations produced a sample mean of
29. Find the critical and observed values of z for the following
test of hypothesis using a=0.1. The population standard deviation
is known to be 5 and the population distribution is normal. H0:
mean = 28 versus H1: mean not equal to 28. Round your answers to
two decimal places.
zcritical left=
zcritical right =
zobserved =
A random sample of 29 observations is used to estimate the population mean. The sample mean...
A random sample of 29 observations is used to estimate the
population mean. The sample mean and the sample standard deviation
are calculated as 130.2 and 29.60, respectively. Assume that the
population is normally distributed
Construct the 95% confidence interval for the population
mean.
Construct the 99% confidence interval for the population
mean
Use your answers to discuss the impact of the confidence level
on the width of the interval.
As the confidence level increases, the interval becomes
wider.
As...
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