Calculate the critical z-value(s) for each of the given hypothesis these scenarios below. If multiple critical values exist for a single scenario, enter the solutions using a comma-separated list. Round z-values to two decimal places.

- Find the critical z-value (s) for a left tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 124 and let alpha = 0.0005.

z = --

Find the critical z-value (s) for a right tailed test of hypothesis for a mean, assuming the populations standard deviation is known, with a sample size of 133 and let alpha = 0.025.

z = ----

Find the critical value (a) for a two-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 116 and let alpha = 0.05.

z = --

Find the critical value (s) for two-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 143 and let alpha = 0.001.

z = ---

2- Use the Student's t-distribution to find t-value for each of the given scenarios. Round t-values to four decimal places.

- Find the value of t such that the area in the right tail of t-distribution is 0.0005, if the sample size is 93.

t =

- Find the value of t such that the area in the left tail of the t distribution is 0.05, if the sample size is 150.

t =---

- Find the two values of t such that 99% of the area under the t-distribution is centered around the mean, if the sample size is 125. Enter the solutions using a comma-separated list.

t = ---

3- Calculate the value for each of the given hypothesis test scenarios below. Round p-values to four decimal places.

- Find the p-value for a left-tailed test of hypothesis for a proportion when the test statistic has been calculated as -1.9.

p-value =---

Find the p-value for a right-tailed test for hypothesis for a mean when the test tactic has been calculated as 2.46. Assume the population standard deviation is known.

p-value ==

- Find the p-value for a two-tailed test of hypothesis for a mean when the test statistic has been calculated as 2.8. Assume the population standard deviation is known.

p-value =---

- Find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as -1.79.

p-value =---

4- Determine the critical value (s) for a left-tailed hypothesis test for a mean with the given characteristics. Round any z-value solution to two decimal places. Round any t-value solution to four decimal places.

- The significance level of the test is 10%

-The sample size is 69

- The population standard deviation is to known

Should the t or z distribution be used for the above scenario?

The standard normal (z) distribution shouldn't be used

The student's t distribution should used

Then critical value (s) for the test are give by t or z?

5- Determine the critical value (s) for a right-tailed hypothesis test for a mean with the given characteristics. Round z-value solution to two decimal places. Round any t-value solution to four decimal places.

alpha = 0.0005

the sample size is 66

the population standard deviation is not known

Should the t or z distribution be used for the above scenario?

The student's t distribution should be used

the standard normal (z) distribution should be used

The critical value (s) for the test are given by t/z?