Please see attached need help with question

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please see attached need help with questions
3) Ha: u po (a known) with t.s. =-2.76
p-value
STAT 048
AFlores
02.21
STAT 048 | Lab #11
Page 2 of 6
4) Ha: u> Ho (a known) with t.s. = 5.19
p-value -
Part II:
Finding Critical Values
Consider the following hypothesis tests. Use the standard normal table to find the critiesl ua for the
specified altenative hypothesis and level of significance. Show all work, includir
sketch. Write your final answer in the box provided.
the
2/6
5) Ha: u> po (a known) with a-0.05
Critical Value -
6) Ha: u jue (a known) with a-0.05
Critical Value =
7) Ha: u< po (a known) with a=0.01
Critical Value-
8) Ha: u Ho (a known) with a =0.10
Critical Value -
STAT 048
AFlores
3/6 21
STAT 048 | Lab #11
Page 3 of 6
Part IlI: Hypothesis Testing
Confidence Interval Approach
Construct a (1-a)100% confidence interval to estimate the parameter of interest. Use it to perform a
hypothesis test.
Many bank employees are paid by the hour. Consider a small bank called BBBanking which is currently
hiring. During the interviewing process, BBBanking's manager indicates that it pays its hourly tellers
comparable to any other bank. To ensure he is making an accurate statement, he collects a random sample
of full-time hourly tellers' wages. Here are their wages (in dollars per year).
21,985
17,531
17,254
18,575
20,688
18,082
22,753
17,392
19,282
19,114
18,418
19,077
19,626
16,750
Suppose the wages are normally distributed with standard deviation $2000. In addition, it is known
that other banks pay their tellers an average of $20,000 per year.
Use Excel to
data in column A)
Transcribed Image Text:3) Ha: u po (a known) with t.s. =-2.76 p-value STAT 048 AFlores 02.21 STAT 048 | Lab #11 Page 2 of 6 4) Ha: u> Ho (a known) with t.s. = 5.19 p-value - Part II: Finding Critical Values Consider the following hypothesis tests. Use the standard normal table to find the critiesl ua for the specified altenative hypothesis and level of significance. Show all work, includir sketch. Write your final answer in the box provided. the 2/6 5) Ha: u> po (a known) with a-0.05 Critical Value - 6) Ha: u jue (a known) with a-0.05 Critical Value = 7) Ha: u< po (a known) with a=0.01 Critical Value- 8) Ha: u Ho (a known) with a =0.10 Critical Value - STAT 048 AFlores 3/6 21 STAT 048 | Lab #11 Page 3 of 6 Part IlI: Hypothesis Testing Confidence Interval Approach Construct a (1-a)100% confidence interval to estimate the parameter of interest. Use it to perform a hypothesis test. Many bank employees are paid by the hour. Consider a small bank called BBBanking which is currently hiring. During the interviewing process, BBBanking's manager indicates that it pays its hourly tellers comparable to any other bank. To ensure he is making an accurate statement, he collects a random sample of full-time hourly tellers' wages. Here are their wages (in dollars per year). 21,985 17,531 17,254 18,575 20,688 18,082 22,753 17,392 19,282 19,114 18,418 19,077 19,626 16,750 Suppose the wages are normally distributed with standard deviation $2000. In addition, it is known that other banks pay their tellers an average of $20,000 per year. Use Excel to data in column A)
STAT 048
AFlores
3/6 21
STAT 048 | Lab #11
Page 3 of 6
Part IlI: Hypothesis Testing
Confidence Interval Approach
Construct a (1-a)100% confidence interval to estimate the parameter of interest. Use it to perform a
hypothesis test.
Many bank employees are paid by the hour. Consider a small bank called BBBanking which is currently
hiring. During the interviewing process, BBBanking's manager indicates that it pays its hourly tellers
comparable to any other bank. To ensure he is making an accurate statement, he collects a random sample
of full-time hourly tellers' wages. Here are their wages (in dollars per year).
21,985
17,531
19,114
17,254
18,575
20,688
19,626
18,082
22,753
17,392
19,282
Suppose the wages are normally distributed with standard deviation $2000. In addition, it is known
that other banks pay their tellers an average of $20,000 per year.
18,418
19,077
16,750
Use Excel to find the following (enter the data in column A).
Construct a 95% CI to estimate the true average wage for BBBanking's full-time hourly tellers.
NOTE: Excel can be used to find the MOE using the formula = CONFIDENCE.NORM(a, 6, n)
3/6
Perform a hypothesis test to determine if BBBanking pays its workers differently than other banks.
State the null hypothesis:
Họ:
State the alternative hypothesis:
H.:
Is this a one-tailed or two-tailed test?
2
Find the confidence interval:
Make a decision (cirele one):
Reject H.
Do Not Reject H.
How did you make your decision? Briefly explain.
Conclusion:
STAT 048
AFlores
02.21
STAT 048 | Lab #11
Page 4 of 6
Critical Value Approach
4/6 uc
Refer to the BBBanking problem. Complete the hypothesis test of interest using
approach. Test at the 5% level of significance.
a) Perform a test to determine if BBBanking is underpaying its workers.
State the null & alt. hypotheses:
Ho:
vs. H.:
Is this a one-tailed or two-tailed test?
2
Calculate the test statistic:
L.S. z-
Find the critical value:
C.v. z
Make a decision (circle one):
Reject H.
Do Not Reject H.
How did you make your decision? Include a sketch with your explanation.
Conclusion:
Transcribed Image Text:STAT 048 AFlores 3/6 21 STAT 048 | Lab #11 Page 3 of 6 Part IlI: Hypothesis Testing Confidence Interval Approach Construct a (1-a)100% confidence interval to estimate the parameter of interest. Use it to perform a hypothesis test. Many bank employees are paid by the hour. Consider a small bank called BBBanking which is currently hiring. During the interviewing process, BBBanking's manager indicates that it pays its hourly tellers comparable to any other bank. To ensure he is making an accurate statement, he collects a random sample of full-time hourly tellers' wages. Here are their wages (in dollars per year). 21,985 17,531 19,114 17,254 18,575 20,688 19,626 18,082 22,753 17,392 19,282 Suppose the wages are normally distributed with standard deviation $2000. In addition, it is known that other banks pay their tellers an average of $20,000 per year. 18,418 19,077 16,750 Use Excel to find the following (enter the data in column A). Construct a 95% CI to estimate the true average wage for BBBanking's full-time hourly tellers. NOTE: Excel can be used to find the MOE using the formula = CONFIDENCE.NORM(a, 6, n) 3/6 Perform a hypothesis test to determine if BBBanking pays its workers differently than other banks. State the null hypothesis: Họ: State the alternative hypothesis: H.: Is this a one-tailed or two-tailed test? 2 Find the confidence interval: Make a decision (cirele one): Reject H. Do Not Reject H. How did you make your decision? Briefly explain. Conclusion: STAT 048 AFlores 02.21 STAT 048 | Lab #11 Page 4 of 6 Critical Value Approach 4/6 uc Refer to the BBBanking problem. Complete the hypothesis test of interest using approach. Test at the 5% level of significance. a) Perform a test to determine if BBBanking is underpaying its workers. State the null & alt. hypotheses: Ho: vs. H.: Is this a one-tailed or two-tailed test? 2 Calculate the test statistic: L.S. z- Find the critical value: C.v. z Make a decision (circle one): Reject H. Do Not Reject H. How did you make your decision? Include a sketch with your explanation. Conclusion:
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