You wish to test the following daim (H.) at a significance level of a = 0.002. H.:µ = 77.4 Ha:µ > 77.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 223 with mean M = 78.8 and a standard deviation of SD = 8.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value - The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is greater than 77.4. O There is not sufficient evidence to warrant rejection of the daim that the population mean is greater

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You wish to test the following daim (Ha) at a significance level of a = 0.002.
H.:µ = 77.4
Ha:µ > 77.4
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a
sample of size n = 223 with mean M = 78.8 and a standard deviation of SD = 8.6.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to) a
greater than a
This test statistic leads to a decision to...
O reject the nul
accept the null
O fail to reject the null
As such, the final condusion is that...
O There is sufficient evidence to warrant rejection of the daim that the population mean is greater than
77.4.
O There is not sufficient evidence to warrant rejection of the daim that the population mean is greater
than 77.4.
The sample data support the daim that the population mean is greater than 77.4.
O There is not sufficient sample evidence to support the daim that the population mean is greater than
77.4.
Transcribed Image Text:You wish to test the following daim (Ha) at a significance level of a = 0.002. H.:µ = 77.4 Ha:µ > 77.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 223 with mean M = 78.8 and a standard deviation of SD = 8.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the nul accept the null O fail to reject the null As such, the final condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is greater than 77.4. O There is not sufficient evidence to warrant rejection of the daim that the population mean is greater than 77.4. The sample data support the daim that the population mean is greater than 77.4. O There is not sufficient sample evidence to support the daim that the population mean is greater than 77.4.
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