consider the following hypotheses h0 410 ha 410 the population is normally distributed with a po

Question

Consider the following hypotheses: H0: μ = 410 HA: μ ≠ 410 The population is normally distributed with a population standard deviation of 46. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with x̄ = 421 and n = 85. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) a-2. What is the conclusion at the 10% significance level? Do not reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. Reject H0 since the p-value is less than the significance level. a-3. Interpret the results at α = 0.10. We cannot conclude that the population mean differs from 410. We conclude that the population mean differs from 410. We cannot conclude that the sample mean differs from 410. We conclude that the sample mean differs from 410. b-1. Calculate the value of the test statistic with x̄ = 397 and n = 85. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. What is the conclusion at the 5% significance level? Reject H0 since the p-value is greater than the significance level. Reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. b-3. Interpret the results at α = 0.05. We conclude that the population mean differs from 410. We cannot conclude that the population mean differs from 410. We conclude that the sample mean differs from 410. We cannot conclude that the sample mean differs from 410.

Consider the following hypotheses:
H0: μ = 410
HA: μ ≠ 410
The population is normally distributed with a population standard deviation of 46. (You may find it useful to reference the appropriate table: z table or t table)

a-1. Calculate the value of the test statistic with x̄ = 421 and n = 85. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

a-2. What is the conclusion at the 10% significance level?

Do not reject H0 since the p-value is greater than the significance level.
Do not reject H0 since the p-value is less than the significance level.
Reject H0 since the p-value is greater than the significance level.
Reject H0 since the p-value is less than the significance level.

a-3. Interpret the results at α = 0.10.

We cannot conclude that the population mean differs from 410.
We conclude that the population mean differs from 410.
We cannot conclude that the sample mean differs from 410.
We conclude that the sample mean differs from 410.

b-1. Calculate the value of the test statistic with x̄ = 397 and n = 85. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b-2. What is the conclusion at the 5% significance level?

Reject H0 since the p-value is greater than the significance level.
Reject H0 since the p-value is less than the significance level.
Do not reject H0 since the p-value is greater than the significance level.
Do not reject H0 since the p-value is less than the significance level.

b-3. Interpret the results at α = 0.05.

We conclude that the population mean differs from 410.
We cannot conclude that the population mean differs from 410.
We conclude that the sample mean differs from 410.
We cannot conclude that the sample mean differs from 410.

Added by Emilio B.

Question

Please give Ace some feedback