Solve both questions hand written and show work will give thumbs up

1. Toss a coin 10 times and obtain the following data. Estimate the parameter 0 of the underlying Bernoulli distribution which describes the probability of having head. (10 points) Toss 2 3 4 5 6 7 8 9 10 Results H H H H T H H T H H Xi 0 0 2. Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of 134 first-graders who were learning English were asked to identify as many letter sounds as possible in a period of one minute. The average number of letter sounds identified was 34.06 with a standard deviation of 23.83. (a) Construct a 98% confidence interval for the mean number of letter sounds identified in one minute (10 points). (b) If a 95% confidence interval were constructed with these data, would it be wider or narrower than the interval constructed in part a? Explain (10 points). (c) If a sample of 150 students had been studied, would you expect the confidence interval to be wider or narrower than the interval constructed in part (a) (10 points)