Question

Consider the following hypotheses:

H₀: μ ≥ 205
H_A: μ < 205

A sample of 83 observations results in a sample mean of 202. The population standard deviation is known to be 33. (You may find it useful to reference the appropriate table: z table or t table)


a-1. Calculate the value of the test statistic. (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.)
  

a-2. Find the p-value.
  

• 0.025 p-value < 0.05
• 0.05 p-value < 0.10
• p-value 0.10

• p-value < 0.01

• 0.01 p-value < 0.025

b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.10?
  

• No since the p-value is greater than the significance level.

• Yes since the p-value is less than the significance level.

• Yes since the p-value is greater than the significance level.

• No since the p-value is less than the significance level.

c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?
  

• No since the p-value is greater than the significance level.

• No since the p-value is less than the significance level.

• Yes since the p-value is greater than the significance level.

• Yes since the p-value is less than the significance level.

d. Interpret the results at α = 0.05.

• We cannot conclude that the population mean is less than 205.

• We conclude that the population mean is less than 205.

• We conclude that the population proportion differs from 205.

• We conclude that the population proportion equals 205.

Answer 1

any query, please ask