Question
In: Statistics and Probability
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 32 coins was collected. Those coins have a mean weight of 2.49543 g and a standard deviation of 0.01598 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint?
Solutions
Expert Solution
Solution :
Given that,
Population mean = 
= 2.5
Sample mean = 
= 2.49543
Sample standard deviation = s = 0.01598
Sample size = n = 32
Level of significance = 
= 0.05
This is a two tailed test.
The null and alternative hypothesis is,
Ho:
2.5
Ha:
2.5
The test statistics,
t = ( -
)/ (s/
)
= ( 2.49543 - 2.5 ) / ( 0.01598 / 
32)
= -1.618
p-value = 0.1158
The p-value is p = 0.1158 and since p = 0.1158 ≥ 0.05, it is concluded that the null hypothesis is fails to reject.
C0nclusion:
It is concluded that the null hypothesis Ho is fails to reject. Therefore, there is not enough evidence to claim that A coin mint
has a specification that a particular coin has a mean weight is different than 2.5, at the 0.05 significance level.
orchestra answered 2 years agoRelated Solutions
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. A
safety administration conducted crash tests of child booster seats
for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirement is that the hic measurement should be less
than...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. In a
manual on how to have a number one song, it is stated that a song
must be no longer than 210 seconds. A simple random sample of 40
current hit songs results in a mean length of 218.1 sec and...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim.
A safety administration conducted crash tests of child booster
seats for cars. Listed below are results from those tests, with
the measurements given in hic (standard head injury condition
units). The safety requirement is that the hic measurement should
be less than...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. A
safety administration conducted crash tests of child booster seats
for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirement is that the hic measurement should be less
than...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the claim, the null and alternative hypotheses, test statistic,
critical value(s), P-value and compare to alpha, and state the
final conclusion that addresses the original claim.
INCLUDE A DRAWING OF THE NORMAL CURVE THAT SHOWS THE LOCATION OF
THE CRITICAL AREAS AND THE LOCATION OF THE TEST STATISTIC. DO THIS
FOR PROBLEMS 1 – 5.
2. (40 points) A golf...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the claim, the null and alternative hypotheses, test statistic,
critical value(s), P-value and compare to alpha, and state the
final conclusion that addresses the original claim.
INCLUDE A DRAWING OF THE NORMAL CURVE THAT SHOWS THE LOCATION OF
THE CRITICAL AREAS AND THE LOCATION OF THE TEST STATISTIC. DO THIS
FOR PROBLEMS 1 – 5.
1. (40 points) A certain...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative? hypotheses, test? statistic, P-value, and
state the final conclusion that addresses the original claim. In a
manual on how to have a number one? song, it is stated that a song
must be no longer than 210 seconds. A simple random sample of 40
current hit songs results in a mean length of 233.1 sec and...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. A
safety administration conducted crash tests of child booster seats
for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirement is that the hic measurement should be less
than...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Use
either the traditional method or P-value method as indicated.
Identify the null and alternative hypotheses, test statistic,
critical value(s) or P-value (or range of P-values) as appropriate,
and state the final conclusion that addresses the original
claim.
Use a significance level of α = 0.01 to test the claim that μ
> 2.85. The sample data consist of 9 scores...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. In a
manual on how to have a number one song, it is stated that a song
must be no longer than 210 seconds. A simple random sample of 40
current hit songs results in a mean length of 230.2 sec and...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Do you agree that Social Loafing is similar to Theory X. Give an example to support...
- Computing Cost of Goods Sold and Ending Inventory. Bartov Corporation reports the following beginning inventory and...
- SQL FORMAT (11-13 are completed and correct) -- 11. what are the names of all students...
- You have been hired as a capital budgeting analyst by Advent Sports, a sporting goods firm...
- DESCRIBE WHAT HAPPENS WHEN WE BECOME CONSCIOUS OF SOMETHING. WHAT HAS TO HAPPEN FOR CONSCIOUS AWARENESS...
- 3) You are rolling a 12 sided die 8 times. a) What is the size for...
- explain the difference between quantitative and qualitative research strategies. Provide an example of a crime based...
ADVERTISEMENT