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 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 1000 hic. Use a
0.010.01
significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?
809
785
1250
644
638
638
Solutions
Expert Solution
H0: > 1000
H1:
< 1000
= 794
s = 236.395
The test statistic t = ()/(s/
)
= (794 - 1000)/(236.395/)
= -2.135
P-value = P(T < -2.135)
= 0.0429
Since the P-value is greater than the significance level (0.0429 > 0.01), so we should not reject the null hypothesis.
So there is not sufficient evidence to support the claim that the sample is from a population with a mean less than 1000 hic.
No, the results do not suggest that all of the child booster seats meet the specified requirement.
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
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...
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
- Define the following key terms 1. Routing 2. Connectionless 3. Best-effort delivery 4. Maximum transmission unit...
- Two 20.0-g ice cubes at –15.0 °C are placed into 255 g of water at 25.0...
- What role should original intent have in how the Supreme Court interprets the Constitution and laws...
- We want to examine the efficacy of the current flu vaccine at preventing the flu. Once...
- One year ago, your company purchased a machine used in manufacturing for $115000. You have learned...
- 1) Represent -34 and +67 in the following ways: a) 8 bit sign and magnitude representation...
- Peggy, a 17-year-old female, was referred by her pediatrician to a child psychiatry clinic for evaluation...
ADVERTISEMENT