Question

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=61.2Ho:μ=61.2...

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=61.2Ho:μ=61.2
      Ha:μ<61.2Ha:μ<61.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

46.2 78.8 64 64.4 59.3
78.8 89.7 85.8 41.3 81.8
34 73.7 79.8 78 72.4
78.8 69.2 66.7 81.8 67.2
56 89.7 71.9 58.5 46.8
40.5 48.3 52.5 53.8 45.1
43.3 24.4 24.4 84.3 81.8
70.2 45.7 53.8 29.4 76.4
78 49.3 52.1 78 57.2



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) αα
  • greater than αα



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 61.2.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 61.2.
  • The sample data support the claim that the population mean is less than 61.2.
  • There is not sufficient sample evidence to support the claim that the population mean is less than 61.2.

Homework Answers

Answer #1

test statistic = 0.408

P-value = 0.6575

The p-value is greater than α

fail to reject the null

There is not sufficient sample evidence to support the claim that the population mean is less than 61.2.

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