# Question: To test H0 40 versus H1 7

To test H0: µ = 40 versus H1: µ 7 40, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed.

(a) If x̄ = 42.3 and s = 4.3, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α = 0.1 level of signiﬁcance, determine the critical value.

(c) Draw a t-distribution that depicts the critical region.

(d) Will the researcher reject the null hypothesis? Why?

(a) If x̄ = 42.3 and s = 4.3, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α = 0.1 level of signiﬁcance, determine the critical value.

(c) Draw a t-distribution that depicts the critical region.

(d) Will the researcher reject the null hypothesis? Why?

**View Solution:**## Answer to relevant Questions

To test H0: µ = 100 versus H1: µ ≠ 100, a simple random sample of size n = 23 is obtained from a population that is known to be normally distributed. (a) If x̄ = 104.8 and s = 9.2, compute the test statistic. (b) If the ...To test H0: µ = 45 versus H1: µ ≠ 45, a simple random sample of size n = 40 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? ...A Fair Isaac Corporation (FICO) score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Its value ranges from 300 to 850. An individual with a FICO score over ...In 2007, Apple stock had a mean daily volume of 35.1 million shares, according to Yahoo!Finance. A random sample of 40 trading days in 2010 resulted in a sample mean of 23.6 million shares with a standard deviation of 11.7 ...According to the Nielsen’s Television Audience Report, the mean number of televisions per household in 2009 was 2.9. Treating the results of the StatCrunch survey as a random sample of U.S. residents, determine whether ...Post your question