A data set lists full IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood. The statistics are summarized below. Use a 0.05 significance level to test the claim that the mean IQ score of people with low lead levels is higher than the mean IQ score of people with high lead levels.
Low Blood Lead Level: n = 77 x = 92.97403 s = 15.23239
High Blood Lead Level: n = 22 x = 87.45455 s = 9.246504
Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviation are equal. Test the given claim using the P-value method and critical value method.
Show the P Value, Test statistic, conclusion & confidence interval
To Test :-
H0 :- µ1 = µ2
H1 :- µ1 ≠ µ2
Test Statistic :-
t = 1.6806
Test Criteria :-
Reject null hypothesis if t > t(α, DF)
DF = 18
Critical value t(α, DF) = t( 0.05 , 18 ) = 1.734
t > t(α, DF) = 1.6806 < 1.734
Conclusion :- Fail to Reject Null Hypothesis
Decision based on P value
P - value = P ( t > 1.6806 ) = 0.0551
Reject null hypothesis if P value < α level of
significance
P - value = 0.0551 > 0.05 ,hence we fail to reject null
hypothesis
Conclusion :- Fail to Reject Null
Hypothesis
Confidence interval :-
t(α/2, DF) = t(0.05 /2, 18 ) = 2.101
Lower Limit =
Lower Limit = -1.3806
Upper Limit =
Upper Limit = 12.4195
95% Confidence interval is ( -1.3806 , 12.4195
)
Since, interval contain the value 0, we fail to reject null hypothesis.
A data set lists full IQ scores for a random sample of subjects with low lead...
help 2. (5 pt) Assume that the two samples are independent simple random samples selected from normally distributed populations and do not assume that the population standard deviations are equal. a) Test the claim using the P-value method or critical value method b) Construct a confidence interval suitable for testing the following claim The following statistics are listed for IQ scores for a random sample of subjects with high levels and low levels of lead in their blood. Use a...
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Listed in the data table are 10 scores for a random sample of subjects with medium load levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both...
18 The IQ scores for a random sample of subjects with mediu lead levels in their blood and another random sample of subjects with high lead levels in their blood are given below. Use a 0.05 significance Medium Lead Level Hich with medium lead levels have full Q scores with a higher median that the median full IQ score for subjects with high lead levels. Does lead level appear to affect full IQ scores? EEB Click the icon to view...
Please show all work step by step in detail. thank you! round final answers to 4 decimal places. 19-20. Data Set “IQ and Lead” lists full IQ scores for a random sample of subjects with high lead levels in their blood. The statistics are summarized below: Low Blood Lead Level n = 78, * = 92.88462, s = 15.34451 a) Use a 0.05 significance level to test the claim that the mean IQ score of people High Blood Lead Level...
Listed in the data table are 10 scores for a random sample of subjects with medium load levels in the blood. Also listed are statistics from a study done of I scores for a random sample of subjects with high lead levels Assume that the two samples are independent simple random samples selected from normally distributed populations Do not assume that the population standard deviations are equal Complete parts and belowUse a 005 significance level for both parts m Click...
Medium lead level: 72,98,92,85,82,97,83,92,102,111,91 & high lead level: n2=11 , x2=90.267 , s2=10.588 %) 9.2.12-T EQuestion Help Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population...
Calculate the test statistic. Calculate the P-value. Construct a confidence interval. Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts...
I need help. D AANBUentG Google G Google (2 jimin is a frealky bi G Untitled document My C Estimate Difference 2 Means () 01e Listed in the data table are IQ scores for a random sample of subjects with r from simple random samples selected from normally distributed populations Do not assume that the equal. medium lead ievels in their blood. Also listed are statistics a study done of IQ scores for a random sample of subjects with high...
Assume that the samples independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal Complete parts and below Use a ated in the database to scores for a random sample of subjects with medium bad levels in the blood Ano Koledare statistics from a study done allo scores for a random sample of subjects with high 0.01 sine vel for both parts Hi Chide the conto the data table of IQ...