hello, i wanted help with 2 assingment questions for intro of statistical software that uses the Rstudio program that i did, i finished them but i want to belify if i have the right idea or made a mistake as im not too familiar with software yet, here are the two questions:

1. Suppose a student measuring the boiling temperature of a certain liquid observes the readings (in degrees Celsius) 102.5, 101.7, 103.1, 100.9, 100.5, and 102.2 on 6 different samples of the liquid. Provide a 95% Confidence Interval for the true average boiling temperature of this liquid. Provide an interpretation. Use both traditional and bootstrap intervals.

2. Joon believes that 50% of first-time brides in the United States are younger than their grooms. She performs a hypothesis test to determine if the percentage is the same or different from 50%. Joon samples 100 first-time brides and 53 reply that they are younger than their grooms. Run the traditional hypothesis test.

and down here is what i did to answer them:

109 110 question 1 below 111 112 traditional [part below] 113 mydata-c(102. 5, 101.7, 103.1, 100.9, 100.5, 102.2) OC 114 t. test (mydata) 115 Q 116 boostrap [part below] 0 117 data data n=6 # Sample size B=1000 # No of Bootstrap Samples > sampledata sample. matrix LCL UCL interval0.05 Thus, fail to reject the Ho In the case of p>0.05, it does not reject the Ho Ultimately, we have sufficient statistical proof that at 5% level of significance to support joon's belief that 50% of the first time brides in united states are significantly younger that their grooms Questions 3 I Im.fit