Consider the following hypotheses: H0: μ ≥ 100 HA: μ < 100 The population is normally distributed. A sample produces the following observations:               95 99 85 80 98 97   Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or t table)   a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)       b. Find the p-value. multiple choice 1 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10     c. What is the conclusion? multiple choice 2 Reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. d. Interpret the results α= 0.01. multiple choice 3 We conclude that the population mean is less than 100. We cannot conclude that the population mean is less than 100. We conclude that the population mean is greater than 100. We cannot conclude that the population mean is greater than100.

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Consider the following hypotheses:

H0μ ≥ 100
HAμ < 100


The population is normally distributed. A sample produces the following observations:
 

           
95 99 85 80 98 97
 


Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or t table)
 

a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

 

 

 

b. Find the p-value.

multiple choice 1
  • p-value < 0.01
  • 0.01 ≤ p-value < 0.025
  • 0.025 ≤ p-value < 0.05
  • 0.05 ≤ p-value < 0.10
  • p-value ≥ 0.10

 

 

c. What is the conclusion?

multiple choice 2
  • Reject H0 since the p-value is less than the significance level.
  • Reject H0 since the p-value is greater than the significance level.
  • Do not reject H0 since the p-value is less than the significance level.
  • Do not reject H0 since the p-value is greater than the significance level.


d. Interpret the results α= 0.01.

multiple choice 3
  • We conclude that the population mean is less than 100.
  • We cannot conclude that the population mean is less than 100.
  • We conclude that the population mean is greater than 100.
  • We cannot conclude that the population mean is greater than100.

 

 
 
 
 


 
 
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