I would like some assistance with the following probability distrution sampling distribution and inference for mean and population exercise

I would like detailed explanation as well

At 1,447m More Diablotins is the highest mountain in Dominica. This is an example of what type of variable? Select one: O a. Ordinal O b. Nominal O c. Ratio O d. IntervalThe length of time 100 customers spend conducting business at a car insurance company is 5,46. If the standard deviation of time spent conducting business is known to be 2.475, the margin of error for a 95% confidence interval is Select one: O a. -0.0485, O b. 0.041 O C. 0.2475. O d. 0:4851. O e -0 4070A large company claims that 56.5% of their employees use JUTC buses to get to work. You are also an employee of this company and believe that this information is false. Your random sample of 975 employees found that 52.3% of the respondents use JUTC buses to get to work. The appropriate hypothesis for this test is Select one: Ho: p = 56.5% HA: p # 56.5% O a Ho: p = 52.3% HA: p # 52.3% Ob Ho: p = 56.5 HA: p # 56.5 OC Ho: p = 56.5 HA: p # 56.5 Ho: p = 52.3\fThe manager at Juice Patties claims that they sell on average 1000 patties per day. The sale of patties for a sample of 30 days had an average of 1370 patties sold. It is known that the standard deviation is 100. Test at the 5% significance level that the manager understated the mean number of patties sold per day. The test statistic for this test is Select one O a. 20.27 O b. 13.70 C. 45.67 Od. 3.70 O e. 12.33The average of a sample of 40 packages of butter is 15.92 ounces and the standard deviation is known to be 0. 13 ounces. Test at the 1% level of significance that the average package of butter is less than 16 ounces. The sample size is Select one: O a. 0.02 O b. 40 O c. 0. 13 O d. 40 O e. 15.92