I can’t figure this out . I’m not good at math.
2 answers:
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For the simple random sample, drawn from a normally distributed population, value of 27, because it’s greater than 26. 7 and less than 29. 3.
<h3>What is normally distributed data?</h3>Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
Total number of sample is 60. The mean found to be 28, with a standard deviation of 5. The z-score is 1. 96.
The margin of error can be found out using the following formula as,'
Put the values as,
As, the mean of the sample is 28. Thus, the upper and lower limits are,
Hence, For the simple random sample, drawn from a normally distributed population, value of 27, because it’s greater than 26. 7 and less than 29. 3.
Learn more about the normally distributed data here;
Answer:
Step-by-step explanation:
The summary of the given data includes;
sample size for the first school = 42
sample size for the second school = 34
so 16 out of 42 i.e = 16 and 18 out of 34 i.e
= 18 have ear infection.
the proportion of students with ear infection Is as follows:
= 0.38095
= 0.5294
Since this is a two tailed test , the null and the alternative hypothesis can be computed as :
level of significance ∝ = 0.05,
Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.
The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.
The pooled standard error can be computed by using the formula:
The test statistics is ;
z = - 1.368
Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.
Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools