A random sample of IQ scores from 50 Etown freshman was used in order to estimat

Question

A random sample of IQ scores from 50 Etown freshman was used in order to estimate the average IQ score for all freshmen at the College. From this sample, a 98% confidence interval for the mean IQ is (101.71,108.29).
Based on this interval, which of the following statements is correct?

The attention span of small children (ages 3–5) is claimed to be Normally distributed with a mean of 15 minutes. A test is to be performed to decide if the average attention span of these children is really longer than 15 minutes. A sample of 10 children were shown a TV show they had never seen before, and the time until they walked away from the show was recorded. The average amount of time spent watching the TV show before walking away was 17.5 minutes with a standard deviation of 4 minutes.

The p-value for this test is . . .

The attention span of small children (ages 3–5) is claimed to be Normally distributed with a mean of 15 minutes. A test is to be performed to decide if the average attention span of these children is really longer than 15 minutes. A sample of 10 children were shown a TV show they had never seen before, and the time until they walked away from the show was recorded. The average amount of time spent watching the TV show before walking away was 17.5 minutes with a standard deviation of 4 minutes.

Which of the following would be correct at a 1% level of significance?

43.

A random sample of IQ scores from 50 Etown freshman was used in order to estimate the average IQ score for all freshmen at the College. From this sample, a 98% confidence interval for the mean IQ is (101.71,108.29).
Based on this interval, which of the following statements is correct?

We are certain that the actual mean IQ score of freshman at Etown is in this interval. If numerous samples of 50 students were taken from the freshman class, we could expect 98% of the resulting intervals to be (101.71,108.29). We are 98% confident that the mean IQ score of freshmen at Etown is greater than 100 (the national average). 98% of all freshmen at Etown have an IQ score between 101.71 and 108.29.

Explanation / Answer

45 )

One-Sample T

Descriptive Statistics

: mean of Sample

Test

p-value = 0.040

hence option A) 0.0398 is correct

47)since p-value > 0.01

we fail to reject the null and result is not significant

option D) not significant, fail to reject Ho. is correct

N Mean StDev SE Mean 99% Lower Bound
for 10 17.50 4.00 1.26 13.93

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