Question

In: Statistics and Probability

1- Students had a mean grade of 70% in the past. After applying a new teaching...

1- Students had a mean grade of 70% in the past. After applying a new teaching method, the following scores were recorded for a sample of 9 random students:

Scores
73
63
64
61
66
69
61
70
79



In order to construct a 95% confidence interval for the new mean grade, we should use:

  • 1-PropZInt
  • ZInterval
  • 2-SampZInt
  • 2-SampTInt
  • TInterval
  • 2-PropZInt

2-

Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 336 with 81 successes. Enter your answer using decimals (not percents) accurate to three decimal places.

< p <

3-

A test was given to a group of students. The grades and gender are summarized below:

A B C Total
Male 17 4 10 31
Female 2 9 16 27
Total 19 13 26 58



Let pp represent the percentage of all female students who would receive a grade of A on this test. Use a 80% confidence interval to estimate pp to three decimal places.

Enter your answer using decimals (not percents).

<p <

4-

Out of 500 people sampled, 295 preferred Candidate A.

Based on this, find a 90% confidence level for the true proportion of the voting population (pp) prefers Candidate A.

Give your answers as decimals, to three places.

<p<

Solutions

Expert Solution

1:

Since population standard deviation is unknown so t interval should be used. Correct option is:

TInterval

2:

3:

Out of 27 females, 2 receive A grade. So,

4:


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