Question

You wish to test the following claim ( left(H_{1} ight) ) at a significance level of ( alpha=0.01 ). ( H_{0}: mu=89.3 ) ( H_{1}: mu<89.3 ) You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size ( n=18 ) with mean ( ar{x}=78.6 ) and a standard deviation of ( s=19.7 ). 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) ( alpha ) ? greater than ( alpha ) This test statistic leads to a decision to... ? reject the null ? accept the null ? fail to reject the null As such, the final conclusion is that... ? There is sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3. ? There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3. ? The sample data support the claim that the population mean is less than 89.3. ? There is not sufficient sample evidence to support the claim that the population mean is less than 89.3.

          You wish to test the following claim ( left(H_{1}
ight) ) at a significance level of ( alpha=0.01 ).

( H_{0}: mu=89.3 )
( H_{1}: mu<89.3 )

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size ( n=18 ) with mean ( ar{x}=78.6 ) and a standard deviation of ( s=19.7 ).

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) ( alpha )
? greater than ( alpha )

This test statistic leads to a decision to...
? reject the null
? accept the null
? fail to reject the null

As such, the final conclusion is that...
? There is sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3.
? There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3.
? The sample data support the claim that the population mean is less than 89.3.
? There is not sufficient sample evidence to support the claim that the population mean is less than 89.3.

You wish to test the following claim ( left(H1
ight) ) at a significance level of ( alpha=0.01 ).

( H0: mu=89.3 )
( H1: mu<89.3 )

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size ( n=18 ) with mean ( arx=78.6 ) and a standard deviation of ( s=19.7 ).

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) ( alpha )
? greater than ( alpha )

This test statistic leads to a decision to...
? reject the null
? accept the null
? fail to reject the null

As such, the final conclusion is that...
? There is sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3.
? There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3.
? The sample data support the claim that the population mean is less than 89.3.
? There is not sufficient sample evidence to support the claim that the population mean is less than 89.3.

Added by Ralph B.

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