Hi, I am in difficulty when I kept trying to do this question.

Could you give me a help to solve this question?

Thank you so much.

Q1 (1 point) [1 mark] A manufacturer of ball bearings is worried that their production line is producing bearings with a surface finish that is rougher than the specifications allow. Determine the sample size needed to estimate the true proportion of ball bearings with a rougher than allowed surface finish to within 3.5% with 90% confidence.02 (2 points) A company selling electric cars offers a base model of the car in the colour white, and the customer pays a surcharge if they would like a different coloured car. A random sample of 18? customers from the past six months shows that 38 of them paid the surcharge to order a car in a different colour. (a) [1.5 marks] Use this to determine a 97% condence interval for p, the true proportion of customers who pay the surcharge to order a different coloured car. (b} [0.5 marks] Based on your answer to part (a}, it it reasonable to say that 28% of customers pay the surcharge to order a different coloured car? Explain why or why not. 03 (3 points) A sewage treatment plant located along a river reported a chemical spill which may have released mercury into the river. The local environmental regulatory agency requires that such spills be monitored. and any spill that results in a long term mercury level above 2.5 \"9/ L (micrograms per litre) requires the party at fault to pay a large fee. A random sample of 53 measurements showed a mercury reading near the treatment plant to have a sample mean of 2.73 try/L with a sample standard deviation of 0.92;}.'9/1}. To decide if they should pay the fee, the treatment plant performs a hypothesis test. (a) [1 mark] Dene the parameter of interest using the correct notation. Then, state the null and alternative hypotheses for this study. (b) [0.5 marks] Calculate the observed value of the test statistic. State the distribution {and degrees of freedom if needed) it follows. (c) [0.5 marks] Compute the pvalue or provide a range of appropriate values for the p-value. (d) [1 mark] Using the signicance level a = 0.025, state your conclusions about if the treatment plant will pay the fee