A group of third grade students is taught using a new curriculum. A control group of third grade students is taught using the old curriculum. The reading test scores for the two groups are shown in the back-to-back stem-and-leaf plot. At a= 0.01, is there enough evidence to support the claim that the 999997416011125789999 new method of teaching reading produces higher reading test scores than the old method does? Assume the population variances are equal. Complete parts (a) through (e) below. Assume the samples are random and independent, and the populations are normally distributed. Old New Curriculum Curriculum 33 6047 76654310569 700066679 857 Key: 4|7|0 = 74 Old and 70 New
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![A group of third grade students is taught using a
new curriculum. A control group of third grade
students is taught using the old curriculum. The
reading test scores for the two groups are shown in
the back-to-back stem-and-leaf plot. At a= 0.01, is
there enough evidence to support the claim that the
new method of teaching reading produces higher
reading test scores than the old method does?
Assume the population variances are equal.
Complete parts (a) through (e) below. Assume the
samples are random and independent, and the
populations are normally distributed.
Old
Curriculum
New Curriculum
33
6047
76654310569
999997416011125789999
700066 679
857
Key: 4|7|0 = 74 Old and 70 New
CA. t< -to
O B. t>to
OC. t< -to, t> to
D. -to <t<to
(c) Find the standardized test statistic.
t%3=
| (Type an integer or decimal rounded to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff49bfa06-610d-436d-895b-1c7adaa0d334%2F51223756-8d71-4e0f-895b-6f669d2b0fd6%2Fi7fake_processed.jpeg&w=3840&q=75)
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