Hi, I need someone to help me with these questions.

With R studio please,

Thank you.

1)Indicate whether the following are true or false:

a)Suppose we calculate our t-statistic to be . If our sample size was 30, we used a two-tailed test, and , we should reject .

b)Suppose our critical value is . We use a lower tail t-test and calculate our t-statistic to be , so we fail to reject .

c)Suppose we use an upper tailed t-test and find our critical value to be . We calculate , so we reject the null hypothesis.

d)If I use an alpha level of 0.05, and I find my P-value is 0.025, I reject the null hypothesis.

e)The probability of making a Type II error is equal to the alpha level

2) Suppose I conduct a two-tailed t-test using a sample of 20. I determine , and based on my alpha level, I reject the null hypothesis. Which of the following was a possible alpha level?

a).01

b).02

c).05

d).10

None of the above

3) A manager surveys the next 25 people entering his store, asking them for their age. The ages are listed below:

383820339362143542351648222203940102523333638

The manager would like to know if the mean age of his customers is below 30 years old.

a)What are the null and alternative hypotheses?

b)What is the value of the test statistic?

c)What is the critical value given an alpha level of 0.05?

What do you conclude at this significance level? Interpret your result.

4) After completing training at a telemarketing company, it is expected that an employee will make an average of 420 calls per day. For a certain employee, the number of calls made daily is tracked over 30 days, and the average number of calls made per day is found to be 386, with a standard deviation of 85 calls. The manager would like to see if there is evidence that this employee is underperforming. Test the manager's hypothesis given a significance level of 0.01.

a)List the null and alternative hypotheses.

b)Give the value of the test statistic.

c)What is the critical value ?

What do you conclude at this significance level? Interpret your result.

5) In Canada, the average age of a person is approximately 39 years old. The organization would like to know if the average age of their donors is greater than 39 years. Test this hypothesis at the 0.01 level, and interpret your results.

Is the nearly normal condition satisfied?

6) What is the P-value for with 27 degrees of freedom