MEDICO Corporation makes several portable electronic devices used in hospitals. Some of these products require rechargeable batteries that MEDICO purchases from various suppliers. Although they try to find them at the best price, they must also consider the quality. In one case, two suppliers were being considered, and batteries were selected from various purchase dates. A test was run on the time the batteries would last in a certain device before it had to be recharged. The results are given in the table below. Sample Statistics for Survey of Batteries Supplier Number of Batteries Used in Test Mean Life Standard Deviation Power+ 45 24 hours 5.1 hours Electro 61 22 hours 2.6 hours a) Set up the null and alternative hypotheses to see if the data supports the conclusion that the rechargeable batteries sold by Power+ last longer. b) Check the conditions. c) Calculate the test statistic. d) Find the p-value. e) Using α = 0.05, state your conclusion in the context of the problem.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
MEDICO Corporation makes several portable electronic devices used in hospitals. Some of these products require rechargeable batteries that MEDICO purchases from various suppliers. Although they try to find them at the best price, they must also consider the quality. In one case, two suppliers were being considered, and batteries were selected from various purchase dates. A test was run on the time the batteries would last in a certain device before it had to be recharged. The results are given in the table below.
Sample Statistics for Survey of Batteries
| Supplier | Number of Batteries Used in Test | Standard Deviation | |
|---|---|---|---|
| Power+ | 45 | 24 hours | 5.1 hours |
| Electro | 61 | 22 hours | 2.6 hours |
a) Set up the null and alternative hypotheses to see if the data supports the conclusion that the rechargeable batteries sold by Power+ last longer.
b) Check the conditions.
c) Calculate the test statistic.
d) Find the p-value.
e) Using α = 0.05, state your conclusion in the context of the problem.
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