Which of the following statements is required for t-test and t-interval 1. Sampled population is unknown 2. Population

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Which of the following statements is required for t-test and t-interval
1. Sampled population is unknown
2. Population standard deviation is unknown
3. Sample size should be large ( )
1. Sampled population is approximately normal
2. Population standard deviation is unknown
3. Sample size should be large ( )
1. Sampled population is unknown
2. Population standard deviation is known
3. Any sample size
1. Sampled population is normal
2. Population standard deviation is unknown
3. Any sample size.
5 points
Suppose that the 95% confidence interval for the average number of COVID-19 new cases in UAE during the last three months is given by (1014.6, 1253.4). This confidence interval uses the sample mean and the sample standard deviation based on a random sample of 16 days. It has been noticed that the number of new cases during the three months is approximately normal. What is the sample standard deviation used when computing the interval? Round your answer to the nearest integer.
5 points
A random sample of 64 college students is selected to estimate the mean commuting time to the university. Assuming that the standard deviation of the commuting times is 5.6 minutes. Find the margin of error for a 95% confidence interval for the mean commuting time to the university. Round your answer to two decimal places.
1.37
1.4
1.14
1.64
Della has over 500 songs on her mobile phone and she wants to estimate what proportion of the songs are by a female artist. She takes and SRS of 50 songs on her phone and finds that 20 of the songs sampled are by a female artist.
Based on this sample, which of the following is a 99% confidence interval for the proportion of songs on her phone that are by a female artists?
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