Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a tells you that the average length of trout caught in Pyramid Lake Is mu = 19 Inches. Howevera survey reported that of a random sample of 46 fish caught, the mean length was overline x =18.6 lnch , with estimated standard s = 2.7 inches. these data Indicate that the average length of a trout caught in Pyramid Lake less than mu = 19 inches? Use a=0.05Please answer ONLY parts D & E A webassign.netW. STA 20...1 matchBegins withQ given< >Done-4-2-4-24(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a- 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the a 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the a 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.There is sufficient evidence at the 0.05 level to conclude that the average fish length is less than 19 inches.There is insufficient evidence at the 0.05 level to condlude that the average fish length is less than 19 inches.12.DETAILSMY NOTESASK YOUR TEACHERThe qualified applicant pool for three management trainee positions consists of eight women and four men.(a) How many different groups of applicants can be selected for the positions? Pyramld Lake is on the Palute Indlan Reservation In Nevada. The lake is famous for cutthroat trout. Suppose a friend tellsVOu that the average length of trout caught In Pyramid Lake Is a- 19 Inches. However, a survey reported that of a randomsample of 46 fish caught, the mean length was x- 18.6 Inches, with estimated standard devlation s- 2.7 Inches. Do thesedata indicate that the average length of a trout caught In Pyramid Lake is less than - 19 Inches? Use a - 0.05,A USE SALTHave(a) State the null hypotheses H, and the altermate hypothesis H,.Ho: H ---Select---H:K ---Select---Step(b) What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Calculate the P-value. (Round your answer to four decimal places.)As peSketch the sampling distribution and show the area corresponding to the P-value.Step-22MacBD00000F4escF2F3F1

Name: Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake i
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Description: Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a tells you that the average length of trout caught in Pyramid Lake Is mu = 19 Inches. Howevera survey reported that of a random sample of 46