Question

t Hypothesis Test for Population Mean Show that the mean age of all buyers is below...

t Hypothesis Test for Population Mean

Show that the mean age of all buyers is below 40. After collecting a random sample of 5 buyers you find a sample mean of 35 and the sample standard deviation of 8. Assume the distribution of age is normal. Test at a 10% significance level.

a. What is the alternative hypothesis?

b. What is the table value?

c. What is the rejection value?

d. What is the test statistic value?

e. What is your decision? choose 1

reject Ho / Do not reject Ho / Accept Ho

f. Conclusion? Choose 1 each

We can show that / We cannot show that

The sample mean / The population mean / the mean age of the 5 buyers / the mean age of all buyers

is greater than 40 / is below 40 / differs from 40 / equals 40

Homework Answers

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
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 4.8 and 0.8, respectively. (You may find it useful to reference the appropriate table: z table or t table) H0: μ ≤ 4.5 against HA: μ > 4.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
In order to conduct a hypothesis test for the population mean, a random sample of 20...
In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 10.5 and 2.2, respectively. (You may find it useful to reference the appropriate table: z table or t table). H0: μ ≤ 9.6 against HA: μ > 9.6 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
Show that the mean cost of all trips differs from 100. After collecting a random sample...
Show that the mean cost of all trips differs from 100. After collecting a random sample of 13 trips you find a sample mean of 81 and a sample standard deviation of 19. Assume the distribution of cost is normal. Test at a 1% significance level. a. Determine the alternative hypothesis based on what you wish to show. b. Based on the alternative decide what would cause you to reject the null and support the alternative c. Determine your critical...
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 13.9 and 1.6, respectively. (You may find it useful to reference the appropriate table: z table or t table). H0: μ ≤ 13.0 against HA: μ > 13.0 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
In order to conduct a hypothesis test for the population mean, a random sample of 28...
In order to conduct a hypothesis test for the population mean, a random sample of 28 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 17.9 and 1.5, respectively. (You may find it useful to reference the appropriate table: z table or t table). H0: μ ≤ 17.5 against HA: μ > 17.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
Suppose Sony would like to test the hypothesis that the standard deviation for the age of...
Suppose Sony would like to test the hypothesis that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users. The following table summarizes sample statistics from each population. Playstation Xbox Sample standard deviation 6.5years 1.9 years Sample size 25 28 Using alpha?equals=?0.05, what is the conclusion for this hypothesis? test? A. Since the test statistic is more than the critical? value, we reject the null hypothesis and cannot conclude...
The federal government would like to test the hypothesis that the standard deviation for the age...
The federal government would like to test the hypothesis that the standard deviation for the age of men filing for Social Security is higher than the standard deviation for the age of women. The following table summarizes sample statistics from each population. Women Men Sample standard deviation 2.6 years 3.3 years Sample size 24 20 Using alpha?equals=?0.10, what is the critical value for this hypothesis? test? A. Since the test statistic is less than the? critical? value, we reject the...
The federal government would like to test the hypothesis that the standard deviation for the age...
The federal government would like to test the hypothesis that the standard deviation for the age of men filing for Social Security is higher than the standard deviation for the age of women. The following table summarizes sample statistics from each population. Women Men Sample standard deviation 2.6 years 3.3 years Sample size 24 20 Using alpha?equals=?0.10, what is the critical value for this hypothesis? test? A. Since the test statistic is less than the? critical? value, we eject the...
Hypothesis Test for a Population Mean (σσ is Unknown) You wish to test the following claim...
Hypothesis Test for a Population Mean (σσ is Unknown) You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=77.2Ho:μ=77.2       Ha:μ≠77.2Ha:μ≠77.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=83n=83 with mean M=78.9M=78.9 and a standard deviation of SD=13.7SD=13.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this...
Sony would like to test the hypothesis that the standard deviation for the age of PlayStation...
Sony would like to test the hypothesis that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users. the following table summarizes sample statistics from each population. PlayStation Xbox Sample Standard Deviation 4.3 years 3.9 years Sample size 25 28 using a= 0.05, the conclusion for this hypothesis test would be that because the test statistics is A) more than the critical value, we reject the null hypothesis and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT