please show the solutions

Q1. A sample of 61 shopping bags is selected and weighed as customers exit a toy store. The histogram of

y, the weights of the bags, looks normal. The sample mean is equal to 1.52kg and the sample standard deviation is equal to 0.28kg.

Compute a 95% confidence interval for the population mean weight of bags.

Give answer with at least3

3dp.

Lower bound of the 95% CI (SMALLER NUMBER HERE):

Upper bound of the 95% CI (BIGGER NUMBER HERE):

q2. The amount of genetic material differing between two randomly selected wild strawberry plants follows a normal distribution with mean=3.38

=3.38mega-base-pairs (Mbp) and standard deviation=0.64

=0.64Mbp.

A sample of 13 observed differences is recorded from randomly selected pairs of strawberry plants.

Answer the following question, keeping in mind that your answer must be a number between 0 and 1, i.e., do not use percentages. Give answer with at least3

3dp.

Compute the probability that the mean difference for the selected sample of plant pairs is more than 3.45 Mbp.