A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes toincrease the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed(in microjoules per square inch) is measured. For the 25-mil film, the sample data result is.x₁ = 1.15 andS₁ = 0.11, while for the 20-mil film, the data yield 2 = 1.06 and s2 = 0.09. Note that an increase in film speedwould lower the value of the observation in microjoules per square inch.Do the data support the claim that reducing the film thickness increases the mean speed of the film? Usea = 0.10 and assume that the two population variances are equal and the underlying population of film speed isnormally distributed.The appropriate decision for the test is to reject the null hypothesisTrueFalse

Solution: Given information: n1=8n2=8x1=1.15x2= 1.06s1=0.11s2= 0.09α=0.10

A photoconductor film is manufactured at a nominal thickness of 25 mils. The pr increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film t- 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is. = 1.15 and S₁ = 0.11, while for the 20-mil film, the data yield ₂ = 1.06 and s2 = 0.09. Note that an increase in film speed would lower the value of the observation in microjoules per square inch. Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. The appropriate decision for the test is to reject the null hypothesis O True False