Question

Question A college football coach thought that his players could bench press a mean weight of 275 pounds. It is known that the standard deviation is 55 pounds. A few players thought that the mean weight was less than 275 pounds, so they conducted a hypothesis test. They asked 30 of their teammates for their estimated maximum lift on the bench press exercise and the mean weight was 260 pounds. Which choice shows the correct first three steps to performing a one-mean hypothesis test at the 2.5% significance level? Select the correct answer below: H0:μ=260; Ha:μ<260, which is a left-tailed test. α=0.025. z0=x¯−μ0σn√=275−2605530√≈1.494 H0:μ=260; Ha:μ>260, which is a right-tailed test. α=0.025. z0=x¯−μ0σn√=260−2755530√≈1.494 H0:μ=275; Ha:μ<275, which is a left-tailed test. α=0.025. z0=x¯−μ0σn√=260−2755530√≈−1.494 H0:μ=260; Ha:μ>260, which is a right-tailed test. α=0.025. z0=x¯−μ0σn√=260−2755530√≈−1.494 H0:μ=275; Ha:μ<275, which is a left-tailed test. α=0.025. z0=x¯−μ0σn√=260−2753055√≈−4.045 H0:μ=275; Ha:μ>275, which is a right-tailed test. α=0.025. z0=x¯−μ0σn√=275−2603055√≈4.045

Answer 1

Ans:

Ho: p=275 0

Ha : u<275

left tailed test

alpha=0.025

Test statistic:

n

(260 275) 55/V30

Z -1.494 o

Third option is correct.