A newspaper headline includes the following statement average range for electric vehicles now 225 miles. In this
Question:
A newspaper headline includes the following statement "average range for electric vehicles now 225 miles". In this context, range refers to the distance an electric vehicle can travel before the battery needs to be recharged. A consumer group decides to check the newspaper's statement by testing 24 of the most popular electric cars on the market. The cars were each fully charged and then driven around a track in the same conditions and at the same speed until the charge was fully depleted. The number of completed miles travelled when the battery ran out was recorded. The results are summarised in Table 2. Table 2 Summary statistics for the range (in miles) of electric cars tested | Sample size | Mean | Standard deviation | |-------------|-------|---------------------| | 24 | 208 | 32 |
* (a) What is the most appropriate version of the t-test if you want to testthe null hypothesis that the underlying population mean distance anelectric vehicle can travel before the battery needs to be recharged iswhat the newspaper headline claims it to be and the alternative hypothesis is that the underlying population mean distance an electric vehicle can travel before the battery needs to be recharged is not whatthe newspaper headline claims it to be? Justify your choice.