4) According to the norms established for a reading comprehension test, the scores of fifth graders should be normally distributed with a population mean of 81.4 and a population standard deviation of 8.4. A teacher believes her class of 35 students have a reading comprehension different than the norm, and decides to give her class the test. The class average on the test was 79.5. Are these students different than the norm in their reading comprehension? Test at a = 0.01. Show all steps to receive full credit.

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Author:Amos Gilat
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4) According to the norms established for a reading comprehension test, the scores of fifth graders should be
normally distributed with a population mean of 81.4 and a population standard deviation of 8.4. A teacher
believes her class of 35 students have a reading comprehension different than the norm, and decides to give
her class the test. The class average on the test was 79.5. Are these students different than the norm in their
reading comprehension? Test at a = 0.01. Show all steps to receive full credit.
5) A scientist is researching the weight of the American Black Bear and believes the weight of the bear has
decreased from 105 pounds over the last 10 years. Based on the Minitab printout below, is the researcher
correct in his belief? Test at the 0.05 level of significance. Show all six steps.
One-Sample T: Weight (kg)
Descriptive Statistics
95% Upper Bound
for u
N Mean StDev SE Mean
9.53
12 99.58
2.75
104.52
E population mean of Sample
Test
He: u = 105
H:u < 105
Null hypothesis
Alternative
hypothesis
T-Value P-Value
-1.97
0.037
Transcribed Image Text:4) According to the norms established for a reading comprehension test, the scores of fifth graders should be normally distributed with a population mean of 81.4 and a population standard deviation of 8.4. A teacher believes her class of 35 students have a reading comprehension different than the norm, and decides to give her class the test. The class average on the test was 79.5. Are these students different than the norm in their reading comprehension? Test at a = 0.01. Show all steps to receive full credit. 5) A scientist is researching the weight of the American Black Bear and believes the weight of the bear has decreased from 105 pounds over the last 10 years. Based on the Minitab printout below, is the researcher correct in his belief? Test at the 0.05 level of significance. Show all six steps. One-Sample T: Weight (kg) Descriptive Statistics 95% Upper Bound for u N Mean StDev SE Mean 9.53 12 99.58 2.75 104.52 E population mean of Sample Test He: u = 105 H:u < 105 Null hypothesis Alternative hypothesis T-Value P-Value -1.97 0.037
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