Question

5) Testing conducted by Consumer Reports evaluated the cost ($) of WiFI Routers. The results and the partial Excel output are as follows:

Data
Level of Significance	0.05
Sample Size	9
Sample Mean	237.78
Sample Standard Deviation	81.17
p-value	0.1001

Brand	Cost
Synology RT2600	200
TP-Link C3150	160
Netgear X10	395
Asus AC2900	160
Netgear AC1900	150
TP-Link AC5400	235
Asus X6000	290
Netgear X6S	300
Linksys	250

Source: Consumer Reports, “Ratings: WiFi Wizards”, p. 51, May 2020.

Using the .05 level of significance, is there evidence that average cost of wireless router is more than $200?

1. State the null hypothesis                                a) _______________________________
2. State the alternative hypothesis                     b) _______________________________
3. What critical value(s) should be used?          c) _______________________________
4. What is the test statistic?                                d) _______________________________
5. What are the degrees of freedom?                 e) _______________________________
6. What is the p-value?                                       f) __________________________________
7. Interpret the p-value                                        g) __________________________________
8. Should the null hypothesis be rejected          h) _______________________________
9. What is the conclusion?                                  i) ________________________________
10. State one of the assumptions                         j) ________________________________

Answer 1