Answer these question The image presents a problem related to hypothesis testing for the population mean \(\mu\), assuming that the population is normally distributed. Here are the key details transcribed and explained:### Problem Statement:- **Claim:** \(\mu \leq 1200\)- **Significance Level:** \(\alpha = 0.08\)- **Standard Deviation:** \(\sigma = 207.88\)- **Sample Statistics:** \(\bar{x} = 1227.81, n = 275\)### Task:Identify the null and alternative hypotheses and choose the correct answer from the given options. Then, calculate the standardized test statistic.### Hypotheses Options:- **A.** - \( H_0: \mu \leq 1227.81 \) - \( H_a: \mu > 1227.81 \)- **B.** (Selected) - \( H_0: \mu \leq 1200 \) - \( H_a: \mu > 1200 \)- **C.** - \( H_0: \mu \geq 1200 \) - \( H_a: \mu \leq 1200 \)- **D.** - \( H_0: \mu > 1227.81 \) - \( H_a: \mu \leq 1227.81 \)- **E.** - \( H_0: \mu \geq 1200 \) - \( H_a: \mu < 1200 \)### Calculation:Calculate the standardized test statistic:- The standardized test statistic is denoted in a text box with the prompt to calculate and round to two decimal places as needed.The option selected in the diagram is **B**, indicating the null hypothesis \( H_0: \mu \leq 1200 \) and the alternative hypothesis \( H_a: \mu > 1200 \). There are no graphs or diagrams included other than the options list and selection interface.

The given values are μ=1200,σ=207.88,x¯=1227.81,n=275.

Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: us 1200; a=0.08; o= 207.88. Sample statistics: x= 1227.81, n 275 .... Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: us1227.81 Hap> 1227.81 B. Ho: us 1200 H u> 1200 OC. Ho H>1200 Hus 1200 O D. Ho u> 1227.81 H HS 1227.81 O E. Ho: H2 1200 Ho u2 1227 81 H p< 1227.81 HaH< 1200 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.)

Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: us 1200; a=0.08; o= 207.88. Sample statistics: x= 1227.81, n 275 .... Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: us1227.81 Hap> 1227.81 B. Ho: us 1200 H u> 1200 OC. Ho H>1200 Hus 1200 O D. Ho u> 1227.81 H HS 1227.81 O E. Ho: H2 1200 Ho u2 1227 81 H p< 1227.81 HaH< 1200 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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