µ1 = average of the grades of the students who were taught fractions with procedure A µ2 = average of the grades of the students who were taught fractions with procedure B A fourth grade teacher believes that procedure A for teaching fractions is better than procedure B. She takes 2 representative samples. In the first sample of 24 children, she works with method A, obtaining an average of 7.1 with a standard deviation of 0.31. In the second sample of 29 children, she works with method B, which obtains an average of 6.9 with a standard deviation of 0.38. Can you conclude, with a significance level of 0.01, that on average the grades obtained by the children who studied with method A are better than those obtained by those who studied with method B? She calculates with 4 decimals Choose the correct conclusion the correct interpretation Select one: a) H0 is rejected There is sufficient evidence that the average grade obtained by children who studied with method A is higher, with a confidence of 99%. b) H0 is not rejected There is sufficient evidence that the average grade obtained by children who studied with method A is higher, with a confidence of 99%. c) H0 is not rejected There is not enough evidence to consider, with 99% confidence, that the average grade obtained by children who studied with method A is higher d) H0 is rejected There is not enough evidence to consider, with 99% confidence, that the average grade obtained by children who studied with method A is higher

A First Course in Probability (10th Edition)
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µ1 = average of the grades of the students who were taught fractions with procedure A

µ2 = average of the grades of the students who were taught fractions with procedure B

A fourth grade teacher believes that procedure A for teaching fractions is better than procedure B. She takes 2 representative samples.

In the first sample of 24 children, she works with method A, obtaining an average of 7.1 with a standard deviation of 0.31.

In the second sample of 29 children, she works with method B, which obtains an average of 6.9 with a standard deviation of 0.38.

Can you conclude, with a significance level of 0.01, that on average the grades obtained by the children who studied with method A are better than those obtained by those who studied with method B?

She calculates with 4 decimals

Choose

  1. the correct conclusion
  2. the correct interpretation

Select one:

a)

H0 is rejected
There is sufficient evidence that the average grade obtained by children who studied with method A is higher, with a confidence of 99%.

b)

H0 is not rejected
There is sufficient evidence that the average grade obtained by children who studied with method A is higher, with a confidence of 99%.

c)

H0 is not rejected
There is not enough evidence to consider, with 99% confidence, that the average grade obtained by children who studied with method A is higher

d)

H0 is rejected
There is not enough evidence to consider, with 99% confidence, that the average grade obtained by children who studied with method A is higher

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