Question

Is there evidence that the mean annual salary of a Tesla owner is more than $253500? Data was collected from 42 Tesla owners across the US. The mean annual salary of those 42 Tesla owners was $254000 with a standard deviation of $1057. Answer this question, at the 1% significance level, by performing the following steps of a hypothesis test. a) Complete the null and alternative hypotheses by typing into the box as indicated. Ho: mu (Type one: <=> (type a value) Ha: mu (Type one: <5>) (type a value) b) Complete the probability statement for the probability of observing a mean salary at least as extreme as the one measured for this sample. P(X_bar _1)_ _(II)_) • Which symbol goes in blank (I)? Choose one: <5>. Type the answer into this box. • What number goes in blank (II)? Type the relevant number into this box. c) Complete the following sentence. For each box, choose an option and type its corresponding letter (A, B, etc..) into the box. This test uses the (A. Z B. t C. F) test statistic. Calculating this test statistic requires knowing the standard deviation of the (A. sample B. population). d) Calculate the test statistic. Type the value, rounded to 2 decimals, in the box. Answer for (d):

Please solve from e) to g). Thank you!

Answer 1

es Co. At center : 253500 Ci region cilin degrees of freedom = n-1 = 42-1-41 (f) p-value = 0.0019 fpct 23.07)= 0.00195 Leg O p-values 0.01 he reject the null hypothesis, There is evidence that the mean annual salary of a tesla owner is more than $253500 at ito significance level. This refers to the population.