Consider the following sample data with mean and standard deviation of 20.5 and 5.4, respectively. (You may find it useful to reference the appropriate table: chi-square table or Ftable) Class Less than 10 10 up to 20 20 up to 30 30 or more Frequency 25 95 65 15 a. Using the goodness-of-fit test for normality, specify the competing hypotheses in order to determine whether or not the data are normally distributed. O Ho: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4.; HA: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4. O Ho: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4.; HA: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4. b. Calculate the value of the test statistic. (Round intermediate values to at least 4 decimal places and final answer to 3 decimal

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Consider the following sample data with mean and standard deviation of 20.5 and 5.4, respectively. (You may find it useful to
reference the appropriate table: chi-square table or Ftable)
Class
Less than 10
10 up to 20
20 up to 30
30 or more
Frequency
25
95
65
15
a. Using the goodness-of-fit test for normality, specify the competing hypotheses in order to determine whether or not the data are
normally distributed.
Ho: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4.; HA: The data are not normally
distributed with a mean of 20.5 and a standard deviation of 5.4.
O Ho: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4.; HA: The data are normally
distributed with a mean of 20.5 and a standard deviation of 5.4.
Test statistic
b. Calculate the value of the test statistic. (Round intermediate values to at least 4 decimal places and final answer to 3 decimal
places.)
Transcribed Image Text:Consider the following sample data with mean and standard deviation of 20.5 and 5.4, respectively. (You may find it useful to reference the appropriate table: chi-square table or Ftable) Class Less than 10 10 up to 20 20 up to 30 30 or more Frequency 25 95 65 15 a. Using the goodness-of-fit test for normality, specify the competing hypotheses in order to determine whether or not the data are normally distributed. Ho: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4.; HA: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4. O Ho: The data are not normally distributed with a mean of 20.5 and a standard deviation of 5.4.; HA: The data are normally distributed with a mean of 20.5 and a standard deviation of 5.4. Test statistic b. Calculate the value of the test statistic. (Round intermediate values to at least 4 decimal places and final answer to 3 decimal places.)
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