Question

The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a sample of 7 workers between the ages of 18 and 34 and asked how many different places they had worked. The results were as follows: 9 10 7 1 7 2 1 Download data At a = 0.01, can it be concluded that the mean is 9.2? Use the P-value method. Assume the population is normally distributed. Use a graphing calculator.

1. state the hypothesis and identify the claim with the correct hypothesis. Also one or two tailed test?

2. Compute the test value

3. Find the P-value

4. Make the decision to reject or not reject the null hypothesis

5. Summarize the results

Answer 1

EDIT CALC TESTSA 1. Edit.... 2: SortAC 3: Sort 4:CirList 5: SeturEditor

27 L3 L1 10 NHNN L1A)=

EDIT CALC TESTS 1: Z-Test... ZAT-Test... 3:2-SamPZTest.... 4:2-SampTTest... 5:1-PropZTest... 6:2-PropZTest.... 7+ZInterval...

T-Test Inpt:Date Stats : 9.2 List: L1 Fres: 1 EHO LLO Calculate Draw >HO

T-Test #9.2 t= -2.682495619 P=.036414851 X=5.285714286 Sx=3.860668583 n=7

To Test :-

H0 :- µ = 9.2
H1 :- µ ≠ 9.2

Test Statistic :-
t = ( X̅ - µ ) / (S / √(n) )
t = -2.68

P value = 0.0364

Reject null hypothesis if P value < α = 0.01 level of significance
P - value = 0.0364 > 0.01 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is sufficient evidence to support the claim that mean is 9.2.