b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic t.(d) Decide whether to reject or fail to reject the null hypothesis.(e) Interpret the decision in the context of the original claim.
Trigonometric Identities
Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.
Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.
 alt="A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample
of 7 cars has a mean gas mileage of 20 mpg and a standard deviation of 4 mpg. At a = 0.10, test the company's claim. Assume the population is normally distributed.
Click here to view the t-distribution table.
Click here to view page 1 of the normal table,
Click here to view page 2 of the normal table.
State the appropriate hypotheses to test.
O A. Ho: H#23
H3: µ = 23
VB. H, µ2 23
H u<23
O D. Ho: us23
H,i p > 23
OC. Ho: = 23
Hi H#23
What is the value of the standardized test statistic?
The standardized test statistic is
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
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