Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is µ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than µ = 19 inches? Use ???? = 0.05.

Sagot :

Cricetus

Answer:

The test statistics will be "-0.876",

Step-by-step explanation:

Given:

  • [tex]\bar x=18.6[/tex]
  • [tex]\mu = 19[/tex]
  • [tex]s = 3.1[/tex]
  • [tex]n = 46[/tex]

According to the question,

Level of significance will be:

= 0.05

Now,

The test statistics will be:

= [tex]\frac{\bar x-\mu}{\frac{s}{\sqrt{n} } }[/tex]

By substituting the values, we get

= [tex]\frac{18.6-19}{\frac{3.1}{\sqrt{46} } }[/tex]

= [tex]-\frac{2.713}{3.1}[/tex]

= [tex]-0.876[/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.