Question

Find the value of t0 such that the following statement is true. ​P(minus−t 0t0less than or equals≤tless than or equals≤t 0t)=0.99 where df=9

A.3.250

B.1.833

C.2.2821

D. 2.262

A Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The​ findings, the results of a​ poll, showed that​ 46% would like more discussion about the​ family's financial​ situation, 37% would like to talk about​ school, and​ 30% would like to talk about religion. These and other percentages were based on a national sampling of 549 teenagers. Using​ 99% reliability, can we say that more than​ 30% of all teenagers want to discuss school with their​parents?

A. ​Yes, since the values inside the​ 99% confidence interval are greater than 0.30.

B. No, since the value 0.30 is not contained in the​ 99% confidence interval.

C. ​Yes, since the value 0.30 falls inside the​ 99% confidence interval.

D. ​No, since the value 0.30 is not contained in the​ 99% confidence interval.

What type of car is more popular among college​students, American or​ foreign? One hundred​ fifty-nine college students were randomly sampled and each was asked which type of car he or she prefers. A computer package was used to generate the printout to the right for the proportion of college students who prefer American automobiles. Is the sample large enough for the interval to be​ valid?

SAMPLE PROPORTION=0.396226 SAMPLE SIZE=159 UPPER LIMIT=0.46607 LOWER LIMIT=0.331128

A.​Yes, since np and nq are both greater than 15.

B. ​No, the population of college students is not normally distributed.

C. ​No, the sample size should be at​ 10% of the population.

D. ​Yes, since n​ > 30.

Answer 1

1. The t-critical values for a two-tailed test, for a significance level of α=0.01 are

tc​=−3.25 and tc​=3.25

Graphically

So answer here is

A.3.250