Question

According to a recent survey by American Banker, the average amount owed by a household in the United States is $71,500. The 99% confidence interval for the average amount owed by all households in the United States is {$69,632; $73,368}. True or false? This confidence interval provides evidence that the average amount owed by all households in the United States exceeds $70,000. (Remember, if you say it is true, the average MUST exceed $70,000).

Answer 1

Answer:

Lower bound is $3024

Upper bound is $3862

Mean(U) = $3443

Sample (n) = 100

Explanation:

9.63 According to USA TODAY research, the average personal debt (such as loans on cars, credit cards, and so forth) per household in the United States was $17,989 in 2004 (USA TODAY October 4, 2004). A recent random sample of 75 households from New Hampshire yielded a mean personal debt of $16,450 with a standard deviation of $4650. Using the 2% significance level, can you conclude that the current nean personal debt for all households in New Hampshire is different from $17,989? Use both the p-value approach and the critical-value approach.