Calculate the p-value for each of the given hypothesis test scenarios below. For each test, assume the population standard deviation is unknown. Select the correct range of p-value.

- Find the p-value for a left-tailed test of hypothesis for a mean when the test statistic has been calculated as -3.4334 and the sample size is 18

p-value < 0.0005

0.0005 < p-value < 0.005

0.005 < p-value < 0.01

0.01 < p-value < 0.025

0.025 < p-value < 0.05

0.05 b< p-value < 0.10

p-value > 0.10

Find the p-value for a right-tailed test of hypothesis for a mean when the test statistic has been calculated as 4.1709 and the sample size is 145.

p-value < 0.0005

0.0005 < p-value < 0.005

0.005 < 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

Find the p-value for two-tailed test hypothesis for a mean when the test statistic has been calculated as 1.7316 and the sample size is 84

p-value < 0.001

0.001 < p-value < 0.01

0.01 < p-value < 0.02

0.02 < p-value < 0.05

0.05 < p-value < 0.10

0.10 < p-value < 0.20

p-value > 0.20

Find the p-value for a two-tailed test of hypothesis for a mean when the test statistic has been calculated as -2.2815 and the sample size is 13.

p-value < 0.001

0.001 < p-value < 0.01

0.01 < p-value < 0.02

0.02 < p-value < 0.05

0.05 < p-value < 0.10

0.10 < p-value < 0.20

p-value > 0.20

2- A forester with the National Park Service was asked with estimating the average age of the bald cypress trees (Taxodium distichum) in Big Cypress Swamp- a region in Everglades National Park. The forester extracted core sample from 40 randomly selected bald Cypress trees in Big Cypress Swamp. The mean age of the sample was 312.1 years with a standard deviation of 24.3 years.

Using a 80% confidence level, determine the margin of error, E, and a confidence interval for the average age of all bald cypress trees in Big Cypress Swamp. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.

The margin of error is given by E =---

A 80% confidence interval is given by =------

3- A public health official in Martin county needs to estimate the average diastolic blood pressure of all residents in Martin County for a report that Is being prepared for the Florida Department of Health.

The official randomly selected 62 Martin county residents and found that the mean diastolic blood pressure of the sample was 70 millimeters of mercury (mm Hg).

Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the mean diastolic blood pressure of all Martin county residents. From past research, it is known that the standard deviation of the distribution of all Martin county residents' diastolic blood pressure is 10 mm Hg.

Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.

The margin of error is given by E =

A 95% confidence interval is given by = ---

4- An adviser in student services would like to estimate the average monthly car payment of all IRSC students. From past research, it is known that the standard deviation of the distribution of all IRSC student car payments is $43. Determine the sample size necessary such that the margin of error of the estimate for a 97% confidence interval for the average monthly car payment of all IRSC student is at most $3.21. Round the solution up to the nearest whole number.

n =

5- Covid-19 (novel corona virus) took the world by surprise in late 2019. By early 2020, nearly all counties worldwide were affected.

Early reports from the US Center for Disease control and Prevention (CDC) estimated that approximately 2.8% of infected patients in the United States between the ages of 55 and 64 had died. This figure is known as then mortality rate the virus for this group.

Suppose a sample of 1370 infected patients in the United Stated between the ages of 55 and 64 were randomly selected and 53 of the patients were known to have died.

Use the p-value method to determine if the sample data support the conclusion that the mortality rate of patients between the ages of 55 and 64 is greater than 2.8%. Use a significance level of 10%.

State the null and alternative hypothesis for this test.

Ho:? =

H1:? =

Determine the test statistic for the hypothesis test. Round the solution to two decimal places.

=---

Determine the p-value for the hypothesis test. Round the solution to four decimal places.

=----