The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1925 pounds and a standard deviation of 55 pounds. The company believes that due to an improvement in the manufacturing process, the mean breaking strength, u, of the cables is now greater than 1925 pounds. To see if this is the case, 50 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1932 pounds. Can we support, at the 0.05 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1925 pounds? Perform a one tailed test. Then complete the parts below.

a) state the null hypothesis H0, and the alternative hypothesis H1

b) Determine the type of test statistic to use.

c) Find the value of the test statistic.

d) Find the p value

e) can we support the claim that the population mean breaking strength of the newly manufactured cables is greater than 1925 pounds?