Question

11.

If we reject the null hypothesis, what can we conclude, subject to the probability, α?

Multiple Choice

• Reject the null with a probability, α, of making a Type I error.

• The alternative hypothesis is false.

• The null hypothesis is true.

• Both the null hypothesis and the alternative hypothesis are true.

12.

The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term. A financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What is the test statistic for this test?

Multiple Choice

• ±3.82

• 0.204

• −3.82

• 3.82

13.

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample mean?

Multiple Choice

• 6.6

• 7.6

• 1.177

• 2.447

14.

Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,400. From past history, the restaurant knew that its population standard deviation is about $1,000. The value of the test statistic is ______.

Multiple Choice

• 2.80

• 6,000

• 6,400

• 1.96

15.

If the null hypothesis states that there is no difference between the mean income of males and females, this is a one-tailed test of hypothesis.

True or False

Answer 1

Q.11) in hypothesis testing when the p value is less than 0.05 then we reject the null hypothesis and when the p value is greater than 0.05 then we Accept the null hypothesis.

Therefore in our above example we don't have the p value therefore we can not directly conclude that null hypothesis is true or alternative hypothesis is true.

Therefore the answer is both the null and alternative hypothesis are true in this case.

Q.12) The vakue of test statistics is +3.82 Or -3.82.

Q.13)sample mean = sum of all observations / Number of observations

=9.0+7.3+6.0+8.8+6.8+8.4+6.6/7

=52.9/7

=7.557

i.e.=7.6

Q.14) The value of the test statistics is 1.96 because in that case the actual value is 6000$ that is the average sail of per day and after the survey of 49 days we have the value is 6400$ average sale i.e. the difference is 4000$ per day.

It follows the normal distribution with besll shape curve in the normal distribution the values are -1.96 & +1.96. therefore our answer is 1.96.

Q.15) False

Because in the aabove the null hypothesis is there is no difference between mean income of males and females.therefore it's Alternative hypothesis is

There is a difference between mean income of males and females.

So this is a two tailed test not one tailed test.