California is a beautiful place to live, but it is also crowded and expensive. Given the good and the bad of living here, I wonder whether Californian's, on average, differ from other Americans in how happy they are. I happen to know that on a 10-point scale (1 = miserable, 10 = extremely happy) American adults have an average score of 5. I select a random sample of 100 Californian adults and find that they have an average score of 6 with a standard deviation of 3 on the happiness scale.
a. State the null and alternative hypotheses
b. State your degrees of freedom:
c. Find and report your critical value for t. For an alpha level of .05, t_c= $\pm$ 2.000.
d. Compute your observed t-value.
e. Decide whether to reject or fail to reject H_o.
f. Is this a statistically significant difference?
g. What does that mean, exactly?
h. Calculate and report a 95% confidence interval for the sample mean and wrap words around it."

Question

California is a beautiful place to live, but it is also crowded and expensive. Given the good and the bad of living here, I wonder whether Californian's, on average, differ from other Americans in how happy they are. I happen to know that on a 10-point scale (1 = miserable, 10 = extremely happy) American adults have an average score of 5. I select a random sample of 100 Californian adults and find that they have an average score of 6 with a standard deviation of 3 on the happiness scale.
a. State the null and alternative hypotheses
b. State your degrees of freedom:
c. Find and report your critical value for t. For an alpha level of .05, t_c=

\pm

2.000.
d. Compute your observed t-value.
e. Decide whether to reject or fail to reject H_o.
f. Is this a statistically significant difference?
g. What does that mean, exactly?
h. Calculate and report a 95% confidence interval for the sample mean and wrap words around it."

Quizplus · Accepted Answer

The Answer of California is a beautiful place to live, but it is also crowded and expensive. Given the good and the bad of living here, I wonder whether Californian's, on average, differ from other Americans in how happy they are. I happen to know that on a 10-point scale (1 = miserable, 10 = extremely happy) American adults have an average score of 5. I select a random sample of 100 Californian adults and find that they have an average score of 6 with a standard deviation of 3 on the happiness scale. a. State the null and alternative hypotheses b. State your degrees of freedom: c. Find and report your critical value for t. For an alpha level of .05, t_c=$\pm$2.000. d. Compute your observed t-value. e. Decide whether to reject or fail to reject H_o. f. Is this a statistically significant difference? g. What does that mean, exactly? h. Calculate and report a 95% confidence interval for the sample mean and wrap words around it."

California Is a Beautiful Place to Live, but It Is ±\pm±

California Is a Beautiful Place to Live, but It Is $\pm$