It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can pl
1 answer:
Answer:
The smallest sample size to satisfy the conditions is n=500.
Step-by-step explanation:
The condition for performing the inference related to the sample size is that, for all the categories, the expected success and failures in the sample are at least 10:
The largest sample size required will be for the minimum p or (1-p).
This happens to be the proportion that can play other instruments: 2%.
Then, we can calculate the minimum sample size as:
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Answer:
The correct answer is t < 60.
Step-by-step explanation:
Lauren wants to keep her cell phone bill below $60 per month.
Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.
Let Lauren sends t texts in a complete month.
Total money spent on texts in a month is given by $ (0.50 × t)
Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).
But this amount should be under $60 as per as the given problem.
∴ 30 + (0.50 × t) < 60
⇒ (0.50 × t) < 30
⇒ t <
⇒ t < 60.
So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.