Question

You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.
  Ho:μ=69.1Ho:μ=69.1
      Ha:μ<69.1Ha:μ<69.1
You believe the population is normally distributed and you know the standard deviation is σ=19.7σ=19.7. You obtain a sample mean of M=64.1M=64.1 for a sample of size n=44n=44.
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 69.1.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 69.1.
• The sample data support the claim that the population mean is less than 69.1.
• There is not sufficient sample evidence to support the claim that the population mean is less than 69.1.

You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.
Ho:μ=77.6Ho:μ=77.6
      Ha:μ<77.6Ha:μ<77.6
You believe the population is normally distributed and you know the standard deviation is σ=8.9σ=8.9. You obtain a sample mean of M=74.5M=74.5 for a sample of size n=32n=32.
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 77.6.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 77.6.
• The sample data support the claim that the population mean is less than 77.6.
• There is not sufficient sample evidence to support the claim that the population mean is less than 77.6.

Answer 1

solution 0 from the datai given Ho! W.69.1 Hail 269.1 test statistic(f) X -u - 15h 64:1-69.1 19.7/Jun -5 2.969886744 -1,68357 1-7.684 df =u4-1 = 43 P-value = 0.04971426 P-value ? 10.0497 (0.002) P-valve > 0.002 > failfo reject Ido is enot sufficient sample evidence to the ) There claim that the Population mean is less than 69,1 ->) from data: the given Hoi t = 77.6 Hai u L 77:6

test statistic (1) x-u 2 isn 74.5-77:6 8.9/532 3.) 1,573312588 :-1,970364963 to 21.990 df 232-1231 P-value = 10.0289 < (0.002) - P. value >* fail to reject Hoi 2) there sufficient sample evidence to support So, we is not the claim that the 77.6 Population mean is less than