Question

(1 point) A random sample of 100 observations from a population with standard deviation 25.11 yielded a sample mean of 94.2

1. Given that the null hypothesis is ?=90and the alternative hypothesis is ?>90 using ?=.05, find the following:
(a) Test statistic =

(b) P - value:

(c) The conclusion for this test is:
_____A. There is insufficient evidence to reject the null hypothesis
______B. Reject the null hypothesis
______C. None of the above

2. Given that the null hypothesis is ?=90

and the alternative hypothesis is ?≠90 using ?=.05, find the following:
(a) Test statistic =
(b) P - value:

(c) The conclusion for this test is:
_______A. There is insufficient evidence to reject the null hypothesis
_______B. Reject the null hypothesis
______C. None of the above

2. (1 point) 35 people are randomly selected and the accuracy of their wristwatches is checked, with positive errors representing watches that are ahead of the correct time and negative errors representing watches that are behind the correct time. The 35 values have a mean of 92sec and a standard deviation of 200sec. Use a 0.02 significance level to test the claim that the population of all watches has a mean of 0 sec.

The test statistic is_____

The P-Value is_______

The final conclustion is
____A. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 0
____B. There is not sufficient evidence to warrant rejection of the claim that the mean is equal to 0

3. (1 point) Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 260 yards on average. Suppose a random sample of 151 golfers be chosen so that their mean driving distance is 264.3 yards, with a standard deviation of 45.8 Conduct a hypothesis test where ?0:?=260 and ?1:?>260 by computing the following:
(a) test statistic ______
(b) p-value ?= ________
(c) If this was a two-tailed test, then the p-value is ________

Answer 1