Question

You wish to test the following claim (Ha) at a significance level of α=0.002.       Ho:μ=79.8       Ha:μ<79.8...

You wish to test the following claim (Ha) at a significance level of α=0.002.

      Ho:μ=79.8
      Ha:μ<79.8

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=30 with mean M=67.4 and a standard deviation of SD=16.5.

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 =

Homework Answers

Answer #1

n=30,  = 79.8

= 67.4 , s = 16.5

= 0.002

null and alternative hypothesis is

Ho:   = 79.8

Ha:   < 79.8

formula for test statistics is

t = -4.116218

test statistics (t) = -4.116

now calculate P-Value for this one tailed test with df= n-1 = 30- =29, using following

excel command we get p-value as,

P-Value = 0.0001

decision rule is,

Reject Ho if (P-Value) < ( )

Here, ( P-Value = 0.0001) < ( = 0.002 )

Hence,

Null hypothesis is rejected.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You wish to test the following claim (HaHa) at a significance level of α=0.002. Ho:μ=70.3 Ha:μ>70.3...
You wish to test the following claim (HaHa) at a significance level of α=0.002. Ho:μ=70.3 Ha:μ>70.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6 with mean M=81.2 and a standard deviation of SD=10.7. 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...
You wish to test the following claim (Ha) at a significance level of α=0.001.       Ho:μ=70.2       Ha:μ>70.2...
You wish to test the following claim (Ha) at a significance level of α=0.001.       Ho:μ=70.2       Ha:μ>70.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 68 96.1 92.9 66.5 49.1 52.7 81.9 60.6 65.6 87.3 89 81 78.4 57.1 100.3 1. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = 2. What is the test statistic for...
You wish to test the following claim (Ha) at a significance level of α=0.005.       Ho:μ=87.1       Ha:μ≠87.1...
You wish to test the following claim (Ha) at a significance level of α=0.005.       Ho:μ=87.1       Ha:μ≠87.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=642 with mean M=88.5 and a standard deviation of SD=13.1. 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...
You wish to test the following claim (HA) at a significance level of a= 0.002 Ho:...
You wish to test the following claim (HA) at a significance level of a= 0.002 Ho: 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 = 14  with mean M = 82.9 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...
You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002.       Ho:μ=57.9       Ha:μ<57.9...
You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002.       Ho:μ=57.9       Ha:μ<57.9 You believe the population is normally distributed and you know the standard deviation is σ=12.7σ=12.7. You obtain a sample mean of M=54.2M=54.2 for a sample of size n=69n=69. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =...
You wish to test the following claim (Ha) at a significance level of α=0.02.       Ho:μ=81.8...
You wish to test the following claim (Ha) at a significance level of α=0.02.       Ho:μ=81.8       Ha:μ≠81.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=7 with mean M=77 and a standard deviation of SD=9.1. 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...
You wish to test the following claim (Ha) at a significance level of α=0.05       Ho:μ=82.8   ...
You wish to test the following claim (Ha) at a significance level of α=0.05       Ho:μ=82.8          Ha:μ≠82.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17 with mean M=77.9 and a standard deviation of SD=16.9. 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.)...
You wish to test the following claim (Ha) at a significance level of α=0.05       Ho:μ=84.2       Ha:μ<84.2...
You wish to test the following claim (Ha) at a significance level of α=0.05       Ho:μ=84.2       Ha:μ<84.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=4 with mean M=82.7 and a standard deviation of SD=6.1. 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...
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ=86.2Ho:μ=86.2       Ha:μ>86.2Ha:μ>86.2...
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ=86.2Ho:μ=86.2       Ha:μ>86.2Ha:μ>86.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=14n=14with mean M=103.2M=103.2 and a standard deviation of SD=16.7SD=16.7. 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...
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ=72.9Ho:μ=72.9       Ha:μ>72.9Ha:μ>72.9...
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.       Ho:μ=72.9Ho:μ=72.9       Ha:μ>72.9Ha:μ>72.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=337n=337 with a mean of M=73.4M=73.4 and a standard deviation of SD=19.3SD=19.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three...