Question
In: Statistics and Probability
The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found...
The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 20.7, 21.4, 20.9, and 21.2 pounds. Assume Normality. Answer parts (a) and (b) below.
a. Find a 95% confidence interval for the mean weight of all bags of potatoes.
b. Does the interval capture 20 pounds? Is there enough evidence to reject a mean weight of 20 pounds?
A.The interval does not capture 20 pounds, so there is enough evidence to reject a mean weight of 20 pounds. It is not plausible the population mean weight is 20 pounds.
B.The interval captures 20 pounds, so there is enough evidence to reject a mean weight of 20 pounds. It is not plausible the population mean weight is 20 pounds.
C.The interval captures 20 pounds, so there is not enough evidence to reject a mean weight of 20 pounds. It is plausible the population mean weight is 20 pounds.
D.The interval does not capture 20 pounds, so there not is enough evidence to reject a mean weight of 20 pounds. It is plausible the population mean weight is 20 pounds.
E.There is insufficient information to make a decision regarding the rejection of 20 pounds. The sample size of 4 bags is less than the required 25.
Solutions
orchestra answered 2 years agoRelated Solutions
the weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found...
the weights of four randomly and independently selected bags
of potatoes labeled 20 pounds were found 21.7,22,20.5, and 21.9.
Assume Normality. Using a two sided alternative hypothesis should
you be able to reject a hypothesis that the population mean is 20
pounds using a significance level of 0.05 why or why not the
confidence interval is reported here I am 95% confidence the
population mean is between 20.4 and 22.6 pounds. B) test the
hypothesis that the population mean is...
2.The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found...
2.The weights of four randomly and independently selected bags
of potatoes labeled 20 pounds were found to be 21, 22, ,20.4, and
21.2
Assume Normality.
a. Using a two-sided alternative hypothesis, should you be
able to reject the hypothesis that the population mean is 20
pounds using a significance level of 0.05
Why or why not? The confidence interval is reported here: I
am
95%confident the population mean is between 20.1 and
22.2pounds.
b. Test the hypothesis that the population...
The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found...
The weights of four randomly and independently selected bags of
tomatoes labeled 5.0 pounds were found to be 5.3, 5.0, 5.6, and 5.4
pounds. Assume Normality. Answers part (a) and (b) below.
(a). Find a 95% confidence interval for the mean weight of all
bags of tomatoes. (__,__)
(b). Does the interval capture 5.0 pounds? Is there enough
evidence to reject a mean weight of 5.0 pounds? Explain.
The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found...
The weights of four randomly and independently selected bags of
tomatoes labeled 5.0 pounds were found to be 5.1 ,.5.0, 5.2, and
5.1 pounds. Assume Normality.
Find a? 95% confidence interval for the mean weight of all bags
of tomatoes.
A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed...
A statistics instructor randomly selected four bags of oranges,
each bag labeled 10 pounds, and weighed the bags. They weighed 9.6,
9.3, 9.1,and.9.1 pounds.
Assume that the distribution of weights is Normal. Find a 95%
confidence interval for the mean weight of all bags of oranges.
Does the interval capture 10 pounds? Is there enough evidence to
reject the null hypothesis that the population mean weight is 10
pounds?
Yes, it does capture 10. Reject the claim of 10 pounds...
The weights of 89 randomly selected truck engines were found to have a standard deviation of...
The weights of 89 randomly selected truck engines were found to
have a standard deviation of 1.59 lbs. Calculate the 95% confidence
interval for the population standard deviation of the weights of
all new truck engines in this particular factory.
The weights of 3 randomly selected mattresses were found to have a standard deviation of 4.53....
The weights of 3 randomly selected mattresses were found to have
a standard deviation of 4.53. Construct the 95%
confidence interval for the population standard
deviation of the weights of all mattresses in this
factory. Round your answers to two decimal places.
Find the Lower Endpoint and Upper Endpoint
The weights of 22 randomly selected mattresses were found to have a standard deviation of 3.17....
The weights of 22 randomly selected mattresses were found to
have a standard deviation of 3.17. Construct the 95% confidence
interval for the population standard deviation of the weights of
all mattresses in this factory. Round your answers to two decimal
places.
The weights (in pounds) and ages (in months) of 35 randomly selected male bears in Yellowstone...
The weights (in pounds) and ages (in months) of 35 randomly
selected male bears in Yellowstone Park were recorded in a file
male_bears.csv. A researcher runs the following code in R to read
in the data.
> bears <- read.table(file="male_bears.csv", header=T,
sep=",")
The researcher then runs the following code in R to fit a simple
linear regression model oftheformyi =α+βxi +εi,
i=1,2...n.Notethatsomevaluesintheoutputhave been removed.
> result <- lm(WEIGHT ~ AGE, data=bears) >
summary(result)
Call:
lm(formula = WEIGHT ~ AGE, data...
In a time-use study, 20 randomly selected college students were found to spend a mean of...
In a time-use study, 20 randomly selected college students were
found to spend a mean of 1.4 hours on the internet each day. The
standard deviation of the 20 scores was 1.3 hours.
Construct a 90% confidence interval for the mean time spent on the
internet by college students. Assume t* = 1.729
If you increased the sample size for the problem above, what would
happen to your confidence interval, assuming the sample mean and
standard deviation remain unchanged?
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